Description of (p, pn) reactions induced by Borromean nuclei
|
|
- Suzanna Harris
- 5 years ago
- Views:
Transcription
1 Fiera di Primiero. October 6, 2017 Selected Topics in Nuclear and Atomic Physics Description of (p, pn) reactions induced by Borromean nuclei Jesús Casal ECT /FBK, Trento, Italy Mario Gómez-Ramos Antonio M. Moro Dpto. de Física Atómica, Molecular y Nuclear Universidad de Sevilla, Spain
2 J. Casal, Fiera di Primiero 2017
3 J. Casal, Fiera di Primiero 2017
4 (p, pn) reactions A nucleus and a proton collide One nucleon is removed leaving a residual fragment High energies to increase mean free path of nucleon inside nucleus Proton-target knockout (p, pn) or (p, 2p) The interaction happens between the proton and a single nucleon Used to extract spectroscopic information of nuclei J. Casal, Fiera di Primiero 2017 p. 1
5 16 Ne 17 Ne 18 Ne 19 Ne 20 Ne 21 Ne 22 Ne 23 Ne 24 Ne 25 Ne 26 Ne 10 Borromean nuclei 14 F Z 15 F 16 F 17 F 18 F 19 F 20 F 21 F 22 F 23 F 24 F 25 F 3b systems with no bound 2b pairs 12 O 13 O 14 O 15 O 16 O 17 O 18 O 19 O 20 O 21 O 22 O 23 O 24 O 10 N 11 N 12 N 13 N 14 N 15 N 16 N 17 N 18 N 19 N 20 N 21 N 22 N 23 N 8C 9C 10 C 11 C 12 C 13 C 14 C 15 C 16 C 17 C 18 C 19 C 20 C 21 C 22 C 6B 7B 8B 9B 10 B 11 B 12 B 13 B 14 B 15 B 16 B 17 B 18 B 19 B 20 B 5 Be 6 Be 7 Be 8 Be 9 Be 4 Li 5 Li 6 Li 7 Li 8 Li 9 Li 10 Li 11 Li 3 He 4 He 5 He 6 He 7 He 8 He 9 He 10 He 2H 3H 4H 5H 6H 7H Li 2 1H 10 Be 11 Be 12 Be 13 Be 14 Be 15 Be 16 Be 12 Li 13 Li p-rich n-rich 2n halo stable unbound N n J. Casal, Fiera di Primiero p. 2
6 (C + N 1 + N 2 ) + p }{{} (C + N 2 ) +N }{{} 1 + p A B If A is Borromean, the unbound fragment B will eventually decay Spectroscopic information on the projectile by probing the continuum wave function of the unbound fragment J. Casal, Fiera di Primiero 2017 p. 3
7 Linking structure and dynamics in (p, pn) reactions with Borromean nuclei: The 11 Li(p, pn) 10 Li case M. Gómez-Ramos, J. Casal, A. M. Moro PLB 772 (2017) 115 arxiv: B 11 B 12 B 13 B 14 B 15 B 16 B 17 B 9 Be 10 Be 11 Be 12 Be 13 Be 14 Be 15 Be 16 Be 8 Li 9 Li 10 Li 11 Li 12 Li 13 Li 7 He 8 He 9 He 10 He Data on 8 He, 11 Li, 14 Be from GSI available 6 H 7 H New exp. on 11 Li, 14 Be, 17 B from RIKEN under analysis J. Casal, Fiera di Primiero 2017 p. 4
8 Transfer to the Continuum (TC) Overlaps J. Casal, Fiera di Primiero 2017
9 Transfer to the Continuum (TC) Overlaps Transfer to the Continuum (TC) No IA assumed No factorization approximation Participant/spectator approach N 2 C x y N 1 A R p N 2 B x C R p N 1 r J. Casal, Fiera di Primiero 2017 p. 5
10 Transfer to the Continuum (TC) Overlaps Transfer to the Continuum (TC) No IA assumed No factorization approximation Participant/spectator approach N 2 C x y N 1 A R p N 2 B x C R p N 1 r Prior representaton of the T-matrix T if = ( x)ψ ( ) f ( r, R ΦA ) V pn1 + U pb U pa ( x, y)χ (+) pa ( R), where ϕ ( ) q ϕ q continuum wave function of the binary fragment B Ψ f final (pn)-b wave function Φ A g.s. wave function of the initial 3b composite A χ pa distorted p-a wave [M. Gómez-Ramos, J.C., A.M. Moro, PLB 772 (2017) 115] J. Casal, Fiera di Primiero 2017 p. 5
11 Transfer to the Continuum (TC) Overlaps Final wave function Expanded in proton-nucleon states (CDCC) Ψ f ( r, R ) nj Π φ J n Π (k n, r )χ J n Π ( K, R ) R N 1 r B p J. Casal, Fiera di Primiero 2017 p. 6
12 Transfer to the Continuum (TC) Overlaps Final wave function Expanded in proton-nucleon states (CDCC) Ψ f ( r, R ) nj Π Basis of N discretized bins φ J n Π (k n, r )χ J n Π ( K, R ) φ J Π n (k n, r ) = 2 kn φ J Π pn πn 1 (k, r )dk. k n 1 R N 1 r B p A + p B + pn 1 J. Casal, Fiera di Primiero 2017 p. 6
13 Transfer to the Continuum (TC) Overlaps Final wave function Expanded in proton-nucleon states (CDCC) Ψ f ( r, R ) nj Π Basis of N discretized bins φ J n Π (k n, r )χ J n Π ( K, R ) φ J Π n (k n, r ) = 2 kn φ J Π pn πn 1 (k, r )dk. k n 1 R N 1 r B p If we select the (p, d) channel TC reduces to DWBA A + p B + pn 1 Ψ f ( r, R ) φ d ( r )χ d-b ( R ) J. Casal, Fiera di Primiero 2017 p. 6
14 Transfer to the Continuum (TC) Overlaps 2b continuum state of fragment B s 2 N 2 x L, J C I ϕ (+) 4π q,σ 2,ι ( x) = qx LJJ T M T i L Y LM ( q) LMs 2 σ 2 JM J JM J Iι J T M T f J T LJ (qx)[y Ls 2J( x) κ I ] JT M T Coupling order: L + s 2 = J, J + I = JT Obtain solution for each (L, J)J T : f J T LJ (qx) i [ 2 eiσ L H ( ) L (qx) SJ T LJ H(+) L (qx) ] J. Casal, Fiera di Primiero 2017 p. 7
15 Transfer to the Continuum (TC) Overlaps 3b g.s. wave function of A N 2 s 2 l x, j x x y l y C I N 1 s 1 β {K, l x, j x, j 1, l y, j 2 } lx + s 2 = j x, j x + I = j 1 ly + s 1 = j 2, Analytical THO method j 1 + j 2 = j Diagonalize H 3b using: [PRC 88 (2013) ] Binary interactions C-N i, N 1 -N 2 Three-body force to fine-tune g.s. energy Φ jµ A ( x, y) = β w j β (x, y) { [Y lxs 2j x ( x) κ I ] j1 [ Y ly (ŷ) κ s1 ] j 2 }jµ Consistent with 2b wave function: same potential and couplings J. Casal, Fiera di Primiero 2017 p. 8
16 Transfer to the Continuum (TC) Overlaps Assume (V pn1 + U pb U pa ) does not change the state of B Define overlaps 2b 3b : ψ LJJT M T (q, y) = f J T LJ (qx) x [Y Ls2 J( x) ψ I ] JT M T Φ jµ A ( x, y)d x J. Casal, Fiera di Primiero 2017 p. 9
17 Transfer to the Continuum (TC) Overlaps Assume (V pn1 + U pb U pa ) does not change the state of B Define overlaps 2b 3b : ψ LJJT M T (q, y) = f J T LJ (qx) x [Y Ls2 J( x) ψ I ] JT M T Φ jµ A ( x, y)d x Auxiliary amplitudes for each 2b configuration {(L, s 2 )J, I}J T : T LJJ T M T if Ψ ( ) f ( r, R ) V pn1 +U pb U pa ψ LJJT M T (q, y)χ (+) pa Cross sections dσn 2 T LJJ T M T dω B dε if x 2 J. Casal, Fiera di Primiero 2017 p. 9
18 GSI data TC calculations Transfer reaction J. Casal, Fiera di Primiero 2017
19 GSI data TC calculations Transfer reaction 11 Li(p, pn) 10 Li in inverse kinematics ALADIN-LAND setup at GSI [Aksyutina et al., PLB 666 (2008) 430] 280 AMeV spectroscopic information extracted through fitting reaction dynamics not considered More recent data from RIKEN is coming J. Casal, Fiera di Primiero 2017 p. 10
20 GSI data TC calculations Transfer reaction TC calculations [spin of 9 Li ignored, I π = 0 + ] 10 Li ( 9 Li + n) 11 Li ( 9 Li + n + n) 2s 1/2 virtual state: a = 20.9 fm 1p 1/2 resonance at 0.5 MeV 1d 5/2 state around 4.5 MeV 0 + g.s. at MeV r mat = 3.55 fm, r ch = 2.48 fm 64% s 1/2, 30% p 1/2, 3% d 5/2 J. Casal, Fiera di Primiero 2017 p. 11
21 GSI data TC calculations Transfer reaction TC calculations [spin of 9 Li ignored, I π = 0 + ] 10 Li ( 9 Li + n) 11 Li ( 9 Li + n + n) 2s 1/2 virtual state: a = 20.9 fm 1p 1/2 resonance at 0.5 MeV 1d 5/2 state around 4.5 MeV 0 + g.s. at MeV r mat = 3.55 fm, r ch = 2.48 fm 64% s 1/2, 30% p 1/2, 3% d 5/2 dσ/dε n- 9 Li (mb/mev) TC, p 1/2 TC, s 1/2 TC, total; σ = 32.0 mb experimental resolution ε 9 n- Li (MeV) ε n- 9 Li (MeV) J. Casal, Fiera di Primiero 2017 p. 11
22 GSI data TC calculations Transfer reaction TC calculations [spin of 9 Li ignored, I π = 0 + ] 10 Li ( 9 Li + n) 11 Li ( 9 Li + n + n) 2s 1/2 virtual state: a = 20.9 fm 1p 1/2 resonance at 0.5 MeV 1d 5/2 state around 4.5 MeV 0 + g.s. at MeV r mat = 3.55 fm, r ch = 2.48 fm 64% s 1/2, 30% p 1/2, 3% d 5/2 dσ/dε n- 9 Li (mb/mev) Exp data, σ = 30.3 mb TC ε 9 n- Li (MeV) J. Casal, Fiera di Primiero 2017 p. 11
23 dσ/de n 9 Li (mb/mev) s-wave p-wave total s-wave p-wave total s-wave p-wave d-wave total P3 P4 P E 9 n Li (MeV) GSI data TC calculations Transfer reaction w/o energy resolution with energy resolution Sensitivity to the structrure model P3: reference model Not sufficient to confirm d 5/2 resonance P4: virtual state at higher E p resonance at lower E P5: with d resonance 1.5 MeV a E r[p 1/2 ] E r[d 5/2 ] P P P (fm) (MeV) (MeV) %s 1/2 %p 1/2 %d 5/2 P P P J. Casal, Fiera di Primiero 2017 p. 12
24 GSI data TC calculations Transfer reaction spin-spin splitting: s 1/2 1, 2 p 1/2 1 +, 2 + Include spin of 9 Li; I π = 3/2 Model P1I: 10 Li: a = 37.9 fm (2 ) res. at 0.37, 0.61 MeV 11 Li: 3/2 g.s. at MeV r mat = 3.2 fm r ch = 2.41 fm 67% s, 31% p J. Casal, Fiera di Primiero 2017 p. 13
25 GSI data TC calculations Transfer reaction spin-spin splitting: s 1/2 1, 2 p 1/2 1 +, 2 + Model P1I: 10 Li: a = 37.9 fm (2 ) res. at 0.37, 0.61 MeV 11 Li: 3/2 g.s. at MeV r mat = 3.2 fm r ch = 2.41 fm 67% s, 31% p dσ/dε n- 9 Li (mb/mev) Include spin of 9 Li; I π = 3/2 Exp. data 1-, 27% 2-, 40% 1+, 12% 2+, 19% total P1I P3 P ε 9 n- Li (MeV) d 5/2 resonance not required to explain the data Data from Aksyutina et al. [PLB 666 (2008) 430] J. Casal, Fiera di Primiero 2017 p. 13
26 GSI data TC calculations Transfer reaction Transfer reaction 11 Li(p, d) 10 Li IRIS at TRIUMF, 5.7 AMeV Sanetullaev et al. [PLB 755 (2016) 481] weight p 1/2 : 33% J. Casal, Fiera di Primiero 2017 p. 14
27 GSI data TC calculations Transfer reaction DWBA calculations for 11 Li(p, d) 10 Li 10 3 dσ/dω (mb/sr) [PLB 767 (2017) 307] 31% p 1/2 content in 11 Li Model P1I Exp. data p 1/2 (1 +,2 + ) s 1/2 (1 -, 2 - ) θ c.m. (deg) Same model gives good agreement on (p, pn) and (p, d) reactions J. Casal, Fiera di Primiero 2017 p. 15
28 Experimental data Structure considerations Preliminary calculations J. Casal, Fiera di Primiero 2017
29 Experimental data Structure considerations Preliminary calculations 14 Be ( 12 Be + n + n) Ground state j π = 0 +, separation energy S 2n 1.3 MeV 11 Be + n Excited 12 Be components in the ground-state wave function of 14 Be are essential Inclusion of core excitations needed!! 0 + g.s. 12 Be e.g.: rotational model in NPA 733 (2004) 53 by Tarutina et al. to couple 0 + 1, 2+ 1 states J. Casal, Fiera di Primiero 2017 p. 16
30 Experimental data Structure considerations Preliminary calculations 14 Be(p, pn) 13 Be a) Kondo et al. 69 MeV/u PLB 690 (2010) 245 b) Aksyutina et al. 304 MeV/u PRC 87 (2013) ) l = 0, 1/2 + 2) l = 1, 1/2 3) l = 2, 5/2 + 4) l = 1, 1/2 5) l = 2,? a) decay 5/ Be(2 + ) b) decay into 12 Be(1 ) J. Casal, Fiera di Primiero 2017 p. 17
31 Experimental data Structure considerations Preliminary calculations 14 Be(p, pn) 13 Be a) Kondo et al. 69 MeV/u PLB 690 (2010) 245 b) Aksyutina et al. 304 MeV/u PRC 87 (2013) P (E fn ) = (p x fn )2 p x fn 2 1) l = 0, 1/2 + 2) l = 1, 1/2 3) l = 2, 5/2 + 4) l = 1, 1/2 5) l = 2,? a) decay 5/ Be(2 + ) b) decay into 12 Be(1 ) J. Casal, Fiera di Primiero 2017 p. 17
32 Experimental data Structure considerations Preliminary calculations Aksyutina et al. PRC 87 (2013) ) using two 1/2 + states No low-energy 1/2 resonance required Momentum profile gives an average: mostly l = 0, l = 2 13 Be structure not clear New data from RIKEN, 250 MeV/u. Anna Corsi et al. J. Casal, Fiera di Primiero 2017 p. 18
33 Experimental data Structure considerations Preliminary calculations Structure model Deformed 12 Be + n potential with core couplings in a rotational model Only 0 + (g.s.) and 2 + (2.1 MeV) of 12 Be included. Deformation parameter β 2 = 0.8 [Tarutina et al. NPA 733 (2004) 53] V (l = 0, 2) and V ls adjusted to give: - near-threshold 1/2 + state - 5/2 + resonance at 2 MeV Shallow V (l = 1) for simplicity l x, j x x N 2 s 2 y l y C I N 1 s 1 J. Casal, Fiera di Primiero 2017 p. 19
34 Experimental data Structure considerations Preliminary calculations Structure model Deformed 12 Be + n potential with core couplings in a rotational model Only 0 + (g.s.) and 2 + (2.1 MeV) of 12 Be included. Deformation parameter β 2 = 0.8 [Tarutina et al. NPA 733 (2004) 53] V (l = 0, 2) and V ls adjusted to give: - near-threshold 1/2 + state - 5/2 + resonance at 2 MeV Shallow V (l = 1) for simplicity l x, j x x N 2 s 2 y l y C I N 1 s 1 Three-body calculations: 14 Be ( 12 Be + n + n) 0 + g.s. fixed at S 2n (exp) 1.3 MeV About 60% of l x = 0 and 35% of I = 2 + J. Casal, Fiera di Primiero 2017 p. 19
35 Experimental data Structure considerations Preliminary calculations Multichannel problem Two-body coupling order: {(L, s 2 )J, I}J T {L J I}J T }{{} s.p. x I N 2 s C Example: 2 L, J 13 Be(5/2 + ): {d 5/2 0 + }, {s 1/2 2 + }, {d 3/2 2 + }, {d 5/2 2 + } So (up to L max = 2) we have 4 asymptotic channels The w.f. for each channel comprises 4 components 2b 3b overlaps mix them One contribution to the cross section for each asymptotic channel Similar for other J T configurations J. Casal, Fiera di Primiero 2017 p. 20
36 Experimental data Structure considerations Preliminary calculations 14 Be(p, pn) MeV/u data from RIKEN (A. Corsi) dσ/dε n- 12 Be (mb/mev) /2 + [s1/2 0 + ] 5/2 + [d5/2 0 + ] 5/2 + [s1/2 2 + ] 3/2 + [s1/2 2 + ] PRELIMINARY total new data folded with σ = 0.25 ε fn ε 12 n- Be (MeV) Virtual state does not fit - too large scattering length Missing cross section at high ε J. Casal, Fiera di Primiero 2017 p. 21
37 Experimental data Structure considerations Preliminary calculations 14 Be(p, pn) MeV/u data from RIKEN (A. Corsi) 40 dσ/dε n- 12 Be (mb/mev) PRELIMINARY new data P1 P2 P3 P ε 12 n- Be (MeV) The 1/2 + state cannot account for the low-energy peak J. Casal, Fiera di Primiero 2017 p. 22
38 Experimental data Structure considerations Preliminary calculations 14 Be(p, pn) MeV/u data from RIKEN (A. Corsi) dσ/dε n- 12 Be (mb/mev) PRELIMINARY new data 1/2 + [s1/2 0 + ] 1/2 - [p1/2 0 + ] 5/2 + [d5/2 0 + ] 5/2 + [s1/2 2 + ] 3/2 - [p3/2 0 + ] 3/2 - [p1/2 2 + ] total ε 12 n- Be (MeV) A low-energy 1/2 resonance improves agreement J. Casal, Fiera di Primiero 2017 p. 23
39 J. Casal, Fiera di Primiero 2017
40 Transfer to Continuum (TC) framework to describe (p, pn) reactions induced by 3b projectiles; reduces to DWBA for (p, d) transfer. Structure information contained in ϕ q 2b Φg.s. 3b overlaps. Provides absolute cross sections. 11 Li(p, pn) 10 Li: including the spin of 9 Li improves agreement in the relative energy spectrum. Same model gives also a good agreement for (p, d) reaction. Our model is consistent with 31% of p-waves in 11 Li, in agreement with recent experimental estimations. No need for a d resonance in 10 Li at low energies. 14 Be(p, pn) 13 Be: contribution from excited-core components can be included in a rotational model. The analysis is ongoing. J. Casal, Fiera di Primiero 2017 p. 24
41 Transfer to Continuum (TC) framework to describe (p, pn) reactions induced by 3b projectiles; reduces to DWBA for (p, d) transfer. Structure information contained in ϕ q 2b Φg.s. 3b overlaps. Provides absolute cross sections. 11 Li(p, pn) 10 Li: including the spin of 9 Li improves agreement in the relative energy spectrum. Same model gives also a good agreement for (p, d) reaction. Our model is consistent with 31% of p-waves in 11 Li, in agreement with recent experimental estimations. No need for a d resonance in 10 Li at low energies. 14 Be(p, pn) 13 Be: contribution from excited-core components can be included in a rotational model. The analysis is ongoing. This is a lot of work! 14 Be; also 8 He, 17 B, 17 Ne... Momentum profile, missing momentum, opening angle... J. Casal, Fiera di Primiero 2017 p. 24
42 Recent advances and challenges in the description of nuclear reactions at the limit of stability ECT* Workshop 5-9 March 2018 Trento, Italy Pierre Capel Jose A. Lay Antonio M. Moro Jesu s Casal J. Casal, Fiera di Primiero 2017 p. 25
43 J. Casal, Fiera di Primiero 2017
44 Appendix A HH expansion EXTRA: Dipole response 11 Li Halo nuclei Small separation energy of valence nucleons Large interaction cross sections Extended radius due to diffuse tail of the w.f. Discovered in the 80s [ 11 Li; Tanihata et al.] Available in Radioactive Ion Beam facilities Assess structure knowledge gained from stable nuclei Explore the edges of the nuclear landscape Study the extremes of stability Two-nucleon halo systems are Borromean, which can be naturally described within three-body models. J. Casal, Fiera di Primiero 2017
45 Appendix A HH expansion EXTRA: Dipole response 11 Li Basis states: ψ iβjµ (ρ, Ω) = ρ 5/2 U iβ (ρ)y βjµ (Ω) β {K, l x, l y, l, S x, j ab } defines a channel Y βjµ (Ω) are states of good total angular momentum j Expanded in hyperspherical harmonics (HH) Υ lxly Klm (Ω) { [ } Y βjµ (Ω) = Υ lxly Klm (Ω) χ S x κ I ]j ab Eigenfunctions of the hypermomentum operator K 2 Υ lxly Klm l (Ω) = ϕ lxly K (α) [ Y lx ( x) Y ly (ŷ) ] l, ϕ lxly lxly K (α) = NK (sin α)lx (cos α) ly P lx+ 1 2,ly+ 1 2 n (cos 2α) where P a,b n is a Jacobi polynomial of order n = (K l x l y )/2 jµ J. Casal, Fiera di Primiero 2017
46 Appendix A HH expansion EXTRA: Dipole response 11 Li K is the hypermomentum, K2 Υ lxly Klm = K(K + 4)Υlxly Klm l = l x + l y is the total orbital angular momentum S x the spin of the particles in subsystem x j ab = l + S x I the spin of the third particle j = j ab + I the total angular momentum χ σ S x the spin wave function of the particles related by x κ ι I the spin wave function of the third particle J. Casal, Fiera di Primiero 2017
47 Appendix A HH expansion EXTRA: Dipole response 11 Li Electromagnetic transition probabilities (O = E, M) ( ) 2λ + 1 B(Oλ)(ε n ) = B(Oλ; n 0 j 0 nj) = n 0 j 0 Ôλ nj 2 4π J. Casal, Fiera di Primiero 2017
48 Appendix A HH expansion EXTRA: Dipole response 11 Li Electromagnetic transition probabilities (O = E, M) ( ) 2λ + 1 B(Oλ)(ε n ) = B(Oλ; n 0 j 0 nj) = n 0 j 0 Ôλ nj 2 4π Electric transitions Q λmλ (x k, y k ) = ( ) 4π 1/2 3 Z q e rq λ Y λmλ ( r q ) 2λ + 1 q=1 J. Casal, Fiera di Primiero 2017
49 Appendix A HH expansion EXTRA: Dipole response 11 Li Electromagnetic transition probabilities (O = E, M) ( ) 2λ + 1 B(Oλ)(ε n ) = B(Oλ; n 0 j 0 nj) = n 0 j 0 Ôλ nj 2 4π Electric transitions Q λmλ (x k, y k ) = Energy distribution ( ) 4π 1/2 3 Z q e rq λ Y λmλ ( r q ) 2λ + 1 q=1 db(oλ) (ε, w) = dε n D(ε, ε n, w)b(oλ)(ε n ) D(ε, ε n, w) are Poisson distributions with w width parameter J. Casal, Fiera di Primiero 2017
50 Appendix A HH expansion EXTRA: Dipole response 11 Li Factorization of the cross section dσ LJJ T dε x C LJJ T K(E)η LJJ T (E) Structure form factors (SF): η LJJ T (E) d y ψ LJJT M T (E, y) 2 J. Casal, Fiera di Primiero 2017
51 Appendix A HH expansion EXTRA: Dipole response 11 Li Factorization of the cross section dσ LJJ T dε x C LJJ T K(E)η LJJ T (E) dσ/de n 9 Li (mb/mev) P3 model solid: full TC s 1/2 C = p 1/2 C = Structure form factors (SF): dashed: scaled SF η LJJ T (E) d y ψ LJJT M T (E, y) 2 dσ/de n 9 Li (mb/mev) P1I model 1 - C = C = C = C = E 9 n Li (MeV) J. Casal, Fiera di Primiero 2017
52 Appendix A HH expansion EXTRA: Dipole response 11 Li Factorization of the cross section dσ LJJ T dε x C LJJ T K(E)η LJJ T (E) dσ/de n 9 Li (mb/mev) P3 model solid: full TC s 1/2 C = p 1/2 C = Structure form factors (SF): dashed: scaled SF η LJJ T (E) Correct up to certain extent BUT!! ratio depends on L, J, J T d y ψ LJJT M T (E, y) 2 dσ/de n 9 Li (mb/mev) P1I model 1 - C = C = C = C = reaction calc. to obtain relative weights less ambiguous than fitting E 9 n Li (MeV) J. Casal, Fiera di Primiero 2017
53 Appendix A HH expansion EXTRA: Dipole response 11 Li 9 Be photodissociation cross section σ γ (mb) /2 + E1 3/2 + E1 5/2 + E1 5/2 - M1 1/2 - M1 Total ε (MeV) J. Casal, Fiera di Primiero 2017 PRC 90 (044304) 2014
54 Appendix A HH expansion EXTRA: Dipole response 11 Li 9 Be photodissociation cross section σ γ (mb) Arnold (2012) Sumiyoshi (2002) THO de Diego (2014) Garrido (2011) ε (MeV) J. Casal, Fiera di Primiero 2017 PRC 90 (044304) 2014
55 Appendix A HH expansion EXTRA: Dipole response 11 Li Continuum of 11 Li: Dipole response 4.0 db(e1)/dε (e 2 fm 2 MeV -1 ) exclusive RIKEN data inclusive TRIUMF data 3b model res. at 0.69 MeV PRL 110 (2013) b model with 9 Li correlations PRC 87 (2013) ε (MeV) Large discrepancies between experiments and theory J. Casal, Fiera di Primiero 2017
56 Appendix A HH expansion EXTRA: Dipole response 11 Li 2.0 db(e1)/dε (e 2 fm 2 MeV -1 ) PRELIMINARY 1/2 + 3/2 + 5/2 + total no 9 Li spin ε (MeV) Again same model P1I seems reasonable J. Casal, Fiera di Primiero 2017
57 Appendix A HH expansion EXTRA: Dipole response 11 Li 2.0 db(e1)/dε (e 2 fm 2 MeV -1 ) PRELIMINARY RIKEN data total no 9 Li spin folded with resolution 0.17 ε ε (MeV) Again same model P1I seems reasonable J. Casal, Fiera di Primiero 2017
Physics of neutron-rich nuclei
Physics of neutron-rich nuclei Nuclear Physics: developed for stable nuclei (until the mid 1980 s) saturation, radii, binding energy, magic numbers and independent particle. Physics of neutron-rich nuclei
More informationDynamics of the scattering of 11 Li on 208 Pb at energies around the Coulomb barrier
Dynamics of the scattering of 11 Li on 208 Pb at energies around the Coulomb barrier J. A. Lay Departamento de Física Atómica, Molecular y Nuclear; Universidad de Sevilla University of Surrey, 9 th November
More informationSemi-Classical perturbation theory Coulomb only First-order most used
direct reactions Models for breakup Semi-Classical perturbation theory Coulomb only First-order most used TDSE (Time Dependent Schrodinger Equation) Coulomb + Nuclear Semi-classical orbit needed DWBA (Distorted
More informationWorkshop on low-energy nuclear reaction dynamics
Workshop on low-energy nuclear reaction dynamics Antonio M. Moro Universidad de Sevilla, Spain May 27, 2014 Workshop on low-energy nuclear reaction dynamics A. M. Moro Universidad de Sevilla 1/46 Outline
More informationThe role of core excitations in break-up reactions
The role of core excitations in break-up reactions J. A. Lay 1, A. M. Moro 2, J. M. Arias 2, R. de Diego 3 1 DFA Galileo Galilei, Università di Padova and INFN, Sezione di Padova, Via Marzolo 8, I-35131
More informationThe many facets of breakup reactions with exotic beams
Angela Bonaccorso The many facets of breakup reactions with exotic beams G Blanchon, DM Brink, F Carstoiu, A Garcia-Camacho, R Kumar, JMargueron, N Vinh Mau JAPAN-ITALY EFES Workshop on Correlations in
More informationStatus of deuteron stripping reaction theories
Status of deuteron stripping reaction theories Pang Danyang School of Physics and Nuclear Energy Engineering, Beihang University, Beijing November 9, 2015 DY Pang Outline 1 Current/Popular models for (d,
More informationProblems in deuteron stripping reaction theories
Problems in deuteron stripping reaction theories DY Pang School of Physics and Nuclear Energy Engineering, Beihang University, Beijing October 7, 2016 Topics: Some history of the study of deuteron stripping
More informationDipole Response of Exotic Nuclei and Symmetry Energy Experiments at the LAND R 3 B Setup
Dipole Response of Exotic Nuclei and Symmetry Energy Experiments at the LAND R 3 B Setup Dominic Rossi for the LAND collaboration GSI Helmholtzzentrum für Schwerionenforschung GmbH D 64291 Darmstadt, Germany
More informationRecent advances in nuclear reaction theories for weakly bound nuclei
Recent advances in nuclear reaction theories for weakly bound nuclei Antonio M. Moro Universidad de Sevilla, Spain May 25, 215 Workshop on Weakly Bound Exotic Nuclei, Natal (Brasil), May 215 A. M. Moro
More informationThree- and four-particle scattering
Three- and four-particle scattering A. Deltuva Centro de Física Nuclear da Universidade de Lisboa Few-particle scattering Three-particle scattering equations Three-nucleon system Three-body direct nuclear
More informationnuclear states nuclear stability
nuclear states 1 nuclear stability 2 1 nuclear chart 3 nuclear reactions Important concepts: projectile (A) target (B) residual nuclei (C+D) q-value of a reaction Notations for the reaction B(A,C)D A+B
More informationDi-neutron correlation in Borromean nuclei
Di-neutron correlation in Borromean nuclei K. Hagino (Tohoku University) H. Sagawa (University of Aizu) 11 Li, 6 He What is the spatial structure of valence neutrons? Compact? Or Extended? 1. Introduction:
More informationarxiv:nucl-th/ v1 1 May 1997
Halo Excitation of 6 He in Inelastic and Charge-Exchange Reactions Russian-Nordic-British Theory (RNBT) collaboration S.N.Ershov, T.Rogde, SENTEF, Department of Physics, University of Bergen, Norway arxiv:nucl-th/9705002v1
More informationTowards first-principle description of electromagnetic reactions in medium-mass nuclei
Canada s National Laboratory for Particle and Nuclear Physics Laboratoire national canadien pour la recherche en physique nucléaire et en physique des particules Towards first-principle description of
More informationMany-Body Resonances of Nuclear Cluster Systems and Unstable Nuclei
Many-Body Resonances of Nuclear Cluster Systems and Unstable Nuclei Contents of the lecture 1. Resonances and complex scaling method 2. Many-body resonances of He-isotopes and their mirror nuclei 3. Coulomb
More informationSingle-particle and cluster excitations
Single-particle and cluster excitations TALENT Module Nb. 6 A. M. Moro Universidad de Sevilla 9/32 Inelastic scattering: cluster model Some nuclei permit a description in terms of two or more clusters:
More informationTheory and Calculation of Two-nucleon Transfer Reactions
Theory and Calculation of Two-nucleon Transfer Reactions Ian Thompson Nuclear Theory and Modeling, L-414, P. O. Box 808, Livermore, CA 94551! This work performed under the auspices of the U.S. Department
More informationStructure at and Beyond the Neutron Dripline
Structure at and Beyond the Neutron Dripline Collaboration LPC-CHARISSA CHARISSA-DEMON H Al Falou,, FM Marqués, JL Lecouey, NA Orr, Structure at and Beyond the Neutron Dripline * Motivation Experimental
More informationTheory of Nuclear reactions. Scattering theory: multi-channel!
Theory of Nuclear reactions Scattering theory: multi-channel! 58 Multichannel coupled equations t! R x p! within the same partition, the Schrodinger equations becomes a coupled equation:! Integrated channel
More informationNuclear Physics using RadioIsotope Beams. T. Kobayashi (Tohoku Univ.)
Nuclear Physics using RadioIsotope Beams T. Kobayashi (Tohoku Univ.) Nucleus: two kinds of Fermions: proton & neutron size ~1fm strong interaction: ~known tightly bound system < several fm < 300 nucleons
More informationFusion of light halo nuclei
Fusion of light halo nuclei Alinka Lépine-Szily Instituto de Física-Universidade de São Paulo, São Paulo, Brazil 1111118th 118th Intn Few-Body Problems in PhysIcs 8th International IUPAP Conference on
More informationPairing Correlations in Nuclei on Neutron Drip Line
Pairing Correlations in Nuclei on Neutron Drip Line INT Workshop on Pairing degrees of freedom in nuclei and the nuclear medium Nov. 14-17, 2005 Hiroyuki Sagawa (University of Aizu) Introduction Three-body
More informationTwo neutron transfer in Sn isotopes
Kyoto, October 24th, 2011 slide 1/21 Two neutron transfer in Sn isotopes Grégory Potel Aguilar (Sevilla) Andrea Idini (Milano) Francisco Barranco Paulano (Sevilla) Enrico Vigezzi (Milano) Francesco Marini
More informationUniversidad de Sevilla
Understanding reactions induced by 6 He at energies around the Coulomb barrier Antonio M. Moro Universidad de Sevilla Discussion session at CEA/Saclay workshop CEA Saclay February 29 / 5 The 6 He nucleus
More informationNuclear and Coulomb excitations of the pygmy dipole resonances
SPES Legnaro, 5-7 ovember uclear and oulomb excitations of the pygmy dipole resonances M. V. Andrés a), F. tara b), D. Gambacurta b), A. Vitturi c), E. G. Lanza b) a)departamento de FAM, Universidad de
More informationIsospin symmetry structure of J π =1 + states in 58 Ni and 58 Cu studied by high-resolution 58 Ni( 3 He,t) and 58 Ni(p,p ) measurements
Workshop at ECT*, Torento, 27/09/09-02/10/09 Strong, Weak and Electromagnetic Interactions to probe Spin-Isospin Excitations Isospin symmetry structure of J π =1 + states in 58 Ni and 58 Cu studied by
More informationEikonal method for halo nuclei
Eikonal method for halo nuclei E. C. Pinilla, P. Descouvemont and D. Baye Université Libre de Bruxelles, Brussels, Belgium 1. Motivation 2. Introduction 3. Four-body eikonal method Elastic scattering 9
More informationEvaluation of inclusive breakup cross sections in reactions induced by weakly-bound nuclei within a three-body model
Evaluation of inclusive breakup cross sections in reactions induced by weakly-bound nuclei within a three-body model Jin Lei, Antonio M. Moro Departamento de FAMN, Universidad de Sevilla, Apartado 165,
More informationTesting the validity of the Spin-orbit interaction Nuclear forces at the drip-line O. Sorlin (GANIL, Caen, France)
PART 1: Testing the validity of the Spin-orbit interaction Nuclear forces at the drip-line O. Sorlin (GANIL, Caen, France) Introduction to the SO interaction Historical picture -> magic numbers The SO
More informationTwo-Proton Halo Structure
DREB 2012, Pisa, Italia Breakup Reactions of Ne to Study its Motivation: Nuclear Structure of Ne & Astrophysics Impact Experimental Methods: Knockout Reactions & Coulomb Dissociation Results: Proton Knockout
More informationNeutron Halo in Deformed Nuclei
Advances in Nuclear Many-Body Theory June 7-1, 211, Primosten, Croatia Neutron Halo in Deformed Nuclei Ó Li, Lulu Ò School of Physics, Peking University June 8, 211 Collaborators: Jie Meng (PKU) Peter
More informationLow-energy reactions involving halo nuclei: a microscopic version of CDCC
Low-energy reactions involving halo nuclei: a microscopic version of CDCC P. Descouvemont Université Libre de Bruxelles, Belgium In collaboration with M.S. Hussein (USP) E.C. Pinilla (ULB) J. Grineviciute
More informationKnockout beyond the drip line
Knockout beyond the drip line Angela Bonaccorso 2 INFN Sezione di Pisa Angela Bonaccorso 3 (INFN Sezione di Pisa) Knockout beyond the drip line Sinaia2014 1 / 31 2 In collaboration with R. J. Charity,
More informationC NS. Direct reactions of Borromean nuclei FM50. S. Shimoura CNS, University of Tokyo
C NS Direct reactions of Borromean nuclei S. Shimoura CNS, University of Tokyo FM50 Introduction 3N force in neutron-rich nuclei U1X IL2/4 B.E. Importance of T=3/2 3N force in the PRC 64 014001 (2001)
More informationThree-cluster dynamics within an ab initio framework
Three-cluster dynamics within an ab initio framework Universality in Few-Body Systems: Theoretical Challenges and New Directions INT 14-1, March 26, 2014 S. Quaglioni Collaborators: C. Romero-Redondo (TRIUMF)
More informationNuclear Science Seminar (NSS)
Nuclear Science Seminar (NSS) Nov.13, 2006 Weakly-bound and positive-energy neutrons in the structure of drip-line nuclei - from spherical to deformed nuclei 6. Weakly-bound and positive-energy neutrons
More informationInclusive breakup measurements of the 7 Li+ 119 Sn system.
Inclusive breakup measurements of the 7 Li+ 119 Sn system. M. A. G. Alvarez 1, A. Di Pietro 2, B. Fernández 3, J. P. Fernández-García 2,4, P. Figuera 2, L. R. Gasques 1, J. Gómez-Camacho 3, M. Lattuada
More informationNew Trends in the Nuclear Shell Structure O. Sorlin GANIL Caen
New Trends in the Nuclear Shell Structure O. Sorlin GANIL Caen I. General introduction to the atomic nucleus Charge density, shell gaps, shell occupancies, Nuclear forces, empirical monopoles, additivity,
More informationVariatonal description of continuum states
Variatonal description of continuum states A. Kievsky INFN, Sezione di Pisa (Italy) Collaborators Three-body systems in reactions with rare isotopes ECT*, October 2016 M. Viviani, L.E. Marcucci - INFN
More informationGoing beyond the traditional nuclear shell model with the study of neutron-rich (radioactive) light nuclei
Going beyond the traditional nuclear shell model with the study of neutron-rich (radioactive) light nuclei Fred SARAZIN Colorado School of Mines SORRY Overview What is low-energy nuclear physics? Stable
More informationPhysic 492 Lecture 16
Physic 492 Lecture 16 Main points of last lecture: Angular momentum dependence. Structure dependence. Nuclear reactions Q-values Kinematics for two body reactions. Main points of today s lecture: Measured
More informationQuasi-Free Knockout Reaction Studies at RIBF
INT Workshop INT-15-58W Reactions and Structure of Exotic Nuclei March 2 13, 2015 Quasi-Free Knockout Reaction Studies at RIBF Tomohiro Uesaka (RIKEN Nishina Center) Quasifree Scattering (QFS) QFS is a
More informationReactions of neutron-rich Sn isotopes investigated at relativistic energies at R 3 B
investigated at relativistic energies at R 3 B for the R 3 B collaboration Technische Universität Darmstadt E-mail: fa.schindler@gsi.de Reactions of neutron-rich Sn isotopes have been measured in inverse
More informationTheory Challenges for describing Nuclear Reactions
Theory Challenges for describing Nuclear Reactions Ch. Elster 06/20/2014 Supported by: U.S. Department of Energy Astrophysics: Stellar Evolution Nuclear Physics: Nuclear Synthesis Indirect Methods: Nuclear
More informationScattering theory II: continuation
TALENT: theory for exploring nuclear reaction experiments Scattering theory II: continuation Filomena Nunes Michigan State University 1 What we learnt? Scattering amplitude nuclear only Coulomb+nuclear
More informationDeuteron induced reactions, spin distributions and the surrogate method
Varenna, June 17th 215 slide 1/25 Deuteron induced reactions, spin distributions and the surrogate method Grégory Potel Aguilar (NSCL, LLNL) Filomena Nunes (NSCL) Ian Thompson (LLNL) Varenna, June 17th
More informationNuclear Structure Study of Two-Proton Halo-Nucleus 17 Ne
Nuclear Structure Study of Two-Proton Halo-Nucleus Ne Leave one blank line F. H. M. Salih 1, Y. M. I. Perama 1, S. Radiman 1, K. K. Siong 1* Leave one blank line 1 School of Applied Physics, Faculty of
More informationRadiative-capture reactions
Radiative-capture reactions P. Descouvemont Physique Nucléaire Théorique et Physique Mathématique, CP229, Université Libre de Bruxelles, B1050 Bruxelles - Belgium 1. Introduction, definitions 2. Electromagnetic
More informationProbing Nuclear Structure of Medium and Heavy Unstable Nuclei and Processes with Helium Isotopes
Probing Nuclear Structure of Medium and Heavy Unstable Nuclei and Processes with Helium Isotopes M.K. Gaidarov Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia 1784,
More informationSOME ASPECTS OF TRANSFER REACTIONS IN LIGHT AND HEAVY ION COLLISIONS
Vol. 44 (2013) ACTA PHYSICA POLONICA B No 3 SOME ASPECTS OF TRANSFER REACTIONS IN LIGHT AND HEAVY ION COLLISIONS Giovanni Pollarolo Dipartimento di Fisica, Università di Torino and INFN, Sez. di Torino
More informationElectromagnetic reactions from few to many-body systems Giuseppina Orlandini
Electromagnetic reactions from few to many-body systems Giuseppina Orlandini ECT* Workshop on Recent advances and challenges in the description of nuclear reactions at the limit of stability, March 5-9,
More informationElectroproduction of p-shell hypernuclei
Electroproduction of p-shell hypernuclei ASTRA workshop Petr Bydžovský Nuclear Physics Institute, Řež, Czech Republic in collaboration with D.J. Millener (BNL), F. Garibaldi and G.M. Urciuoli (Rome) Outline:
More informationInvestigation of Pygmy Dipole Resonance in neutron rich exotic nuclei
Investigation of Pygmy Dipole Resonance in neutron rich exotic nuclei R.Avigo 1,2, O.Wieland 1, A.Bracco 1,2, F.Camera 1,2 on behalf of the AGATA and DALI2 collaborations 1 INFN, sezione di Milano 2 Università
More informationThe Nuclear Many-Body problem. Lecture 3
The Nuclear Many-Body problem Lecture 3 Emergent phenomena at the drip lines. How do properties of nuclei change as we move towards the nuclear driplines? Many-body open quantum systems. Unification of
More informationTowards a universal nuclear structure model. Xavier Roca-Maza Congresso del Dipartimento di Fisica Milano, June 28 29, 2017
Towards a universal nuclear structure model Xavier Roca-Maza Congresso del Dipartimento di Fisica Milano, June 28 29, 217 1 Table of contents: Brief presentation of the group Motivation Model and selected
More informationInclusive deuteron induced reactions
Seattle, March 28th 217 slide 1/9 Inclusive deuteron induced reactions Grégory Potel Aguilar (FRIB/NSCL) Seattle, March 28th 217 (d, p) reactions: a probe for neutron nucleus interactions Seattle, March
More informationPhysics opportunities with the AT-TPC. D. Bazin NSCL/MSU at ReA
Physics opportunities with the AT-TPC D. Bazin NSCL/MSU at ReA Reaction studies at ReA Radioactive beams are used in inverse kinematics Target is now the (usually light) probe nucleus Scattered particles
More informationRelativistic Radioactive Beams as a Tool for Nuclear Astrophysics
Relativistic Radioactive Beams as a Tool for Nuclear Astrophysics Thomas Aumann December 11 th 2013 27 th Texas Symposium on Relativistic Astrophysics Dallas, Texas Supported by the BMBF under contract
More informationDetermining Two Reaction Rates in Novae using the ANCs Technique. Tariq Al-Abdullah Hashemite University, Jordan Russbach, March 2011
Determining Two Reaction Rates in Novae using the ANCs Technique Tariq Al-Abdullah Hashemite University, Jordan Russbach, March 2011 Main Points Synthesis of 22Na and 18F in ONe novae. Asymptotic Normalization
More informationThe optical potential of light exotic nuclei
Angela Bonaccorso The optical potential of light exotic nuclei in collaboration with F. Carstoiu, RJ Charity [Bucharest, St Louis, Pisa] Trento 15 th May 2015 2 More or less in the same period (early 80
More informationThe astrophysical reaction 8 Li(n,γ) 9 Li from measurements by reverse kinematics
J. Phys. G: Nucl. Part. Phys. 25 (1999) 1959 1963. Printed in the UK PII: S0954-3899(99)00382-5 The astrophysical reaction 8 Li(n,γ) 9 Li from measurements by reverse kinematics Carlos A Bertulani Instituto
More informationLinking nuclear reactions and nuclear structure to on the way to the drip lines
Linking nuclear reactions and nuclear structure to on the way to the drip lines DREB18 6/5/2018 Motivation Green s functions/propagator method Wim Dickhoff Bob Charity Lee Sobotka Hossein Mahzoon (Ph.D.2015)
More informationTwo-particle transfer and pairing correlations (for both T-0 and T=1): interplay of reaction mechanism and structure properties
Two-particle transfer and pairing correlations (for both T-0 and T=1): interplay of reaction mechanism and structure properties Andrea Vitturi and Jose Antonio Lay (Padova, Catania, Sevilla) ECT*, September
More informationStudy of Neutron-Proton Correlation & 3N-Force in 12 C
Study of Neutron-Proton Correlation & 3N-Force in C Outline: 1. Interesting physics on np-correlations in C 2. Probe: Two-nucleon knockout reaction Partial cross section and P // measurements 3. Experimental
More informationMolecular Structures in Slow Nuclear Collisions
Molecular Structures in Slow Nuclear Collisions ALEXIS DIAZ-TORRES European Centre for Theoretical Studies in Nuclear Physics and Related Areas Trento, Italy Nuclear Structure Reaction Dynamics FAIR Nuclear
More informationMicroscopic nuclear form factor for the Pygmy Dipole Resonance
Microscopic nuclear form factor for the Pygmy Dipole Resonance M.V. Andrés - Departamento de FAMN, Universidad de Sevilla, Spain F. Catara - INFN-Sezione di Catania, Italy A. Vitturi - Dipartimento di
More informationOther electrons. ε 2s < ε 2p ε 3s < ε 3p < ε 3d
Other electrons Consider effect of electrons in closed shells for neutral Na large distances: nuclear charge screened to 1 close to the nucleus: electron sees all 11 protons approximately:!!&! " # $ %
More informationSpectroscopy of light exotic nuclei using resonance scattering in inverse kinematics.
Spectroscopy of light exotic nuclei using resonance scattering in inverse kinematics. Grigory Rogachev RESOLUT: a new radioactive beam facility at FSU Solenoid 2 Magnetic Spectrograph Magnetic Spectrograph
More informationDirect reactions methodologies for use at fragmentation beam energies
1 Direct reactions methodologies for use at fragmentation beam energies TU Munich, February 14 th 2008 Jeff Tostevin, Department of Physics Faculty of Engineering and Physical Sciences University of Surrey,
More informationCoulomb Breakup as a novel spectroscopic tool to probe directly the quantum numbers of valence nucleon of the exotic nuclei
Coulomb Breakup as a novel spectroscopic tool to probe directly the quantum numbers of valence nucleon of the exotic nuclei Saha Institute of Nuclear Physics, Kolkata 700064, India E-mail: ushasi.dattapramanik@saha.ac.in
More informationDeuteron induced reactions
INT, March 2015 slide 1/23 Deuteron induced reactions Grégory Potel Aguilar (NSCL, LLNL) Filomena Nunes (NSCL) Ian Thompson (LLNL) INT, March 2015 Introduction NT, March 2015 slide 2/23 We present a formalism
More informationNuclear Reactions - Experiment I
Nuclear Reactions - Experiment I Calem R. Hoffman Physics Division, Argonne National Laboratory Exotic Beam Summer School 2014 ORNL Outline Overview of nuclear reactions Transfer Observed reactions and
More informationCNO cycle: Soft E1 mode of the 17 Ne excitation in the 17 Ne+γ 15 O+2p reaction
Journal of Physics: Conference Series PAPER OPEN ACCESS CNO cycle: Soft E1 mode of the 17 Ne excitation in the 17 Ne+γ 15 O+2p reaction To cite this article: Yu L Parfenova et al 2016 J. Phys.: Conf. Ser.
More informationFusion Reactions with Carbon Isotopes
Fusion Reactions with Carbon Isotopes Henning Esbensen Argonne National Laboratory, Argonne IL, USA Problems: Large structures in 12 C+ 12 C fusion data. Large systematic uncertainties of 15% or more.
More informationA path to lepton-nucleus reactions from first principles
Canada s National Laboratory for Particle and Nuclear Physics Laboratoire national canadien pour la recherche en physique nucléaire et en physique des particules A path to lepton-nucleus reactions from
More informationFew- Systems. Selected Topics in Correlated Hyperspherical Harmonics. Body. A. Kievsky
Few-Body Systems 0, 11 16 (2003) Few- Body Systems c by Springer-Verlag 2003 Printed in Austria Selected Topics in Correlated Hyperspherical Harmonics A. Kievsky INFN and Physics Department, Universita
More informationNucleon Transfer within Distorted Wave Born Approximation
Nucleon Transfer within Distorted Wave Born Approximation N R V Project Flerov Laboratory of Nuclear Reactions, 141980, Dubna, Russian Federation Abstract. The finite range Distorted Wave Born Approximation
More informationStructure of halo nuclei and transfer reactions
Structure of halo nuclei and transfer reactions F. Barranco and G. Potel Sevilla University R.A. Broglia Milano University and INFN The Niels Bohr Institute, Copenhagen E. Vigezzi INFN Milano DCEN 2011,
More informationSTATES. D. Mark Manley. February 1, Department of Physics Kent State University Kent, OH USA KL 0 P SCATTERING TO 2-BODY FINAL
KL P SCATTERING Department of Physics Kent State University Kent, OH 44242 USA February 1, 216 πλ Final πσ Final KΞ Final 1 / 28 Outline πλ Final πσ Final KΞ Final πλ Final πσ Final KΞ Final 2 / 28 Outline
More informationThe Super-FRS Project at GSI
2 m A G A T A The Super-FRS Project at GSI FRS facility The concept of the new facility The Super-FRS and its branches Summary Martin Winkler for the Super-FRS working group CERN, 3.1.22 Energy Buncher
More informationNuclear structure: spectroscopic factors; correlations (short and long-range); high momentum components Nuclear structure: a wide angle view
Washington DC 10-16-06 Nuclear structure: spectroscopic factors; correlations (short and long-range); high momentum components Nuclear structure: a wide angle view Other physical systems Status for stable
More informationReaction Dynamics for Light Dripline Nuclei
Reaction Dynamics for Light Dripline Nuclei Phys. Scr. T152 (2013) 014019 Angela Bonaccorso INFN Sezione di Pisa Advances in Radioactive Isotope Science(ARIS2014) Tokyo, Japan, June 1th- 6th, 2014 Angela
More information13. Basic Nuclear Properties
13. Basic Nuclear Properties Particle and Nuclear Physics Dr. Tina Potter Dr. Tina Potter 13. Basic Nuclear Properties 1 In this section... Motivation for study The strong nuclear force Stable nuclei Binding
More informationNeutron-rich rare isotope production with stable and radioactive beams in the mass range A ~ at 15 MeV/nucleon
Neutron-rich rare isotope production with stable and radioactive beams in the mass range A ~ 40-60 at 15 MeV/nucleon A. Papageorgiou 1, G.A. Soulotis 1, M. Veselsky 2, A. Bonasera 3,4 1 Laboratory of Physical
More informationFrom few-body to many-body systems
From few-body to many-body systems Nasser Kalantar-Nayestanaki, KVI-CART, University of Groningen Few-Body Physics: Advances and Prospects in Theory and Experiment 614. WE-Heraeus-Seminar, Bad Honnef April
More informationNucleon Electromagnetic Form Factors: Introduction and Overview
Nucleon Electromagnetic Form Factors: Introduction and Overview Diego Bettoni Istituto Nazionale di Fisica Nucleare, Ferrara Scattering and Annihilation Electromagnetic Processes Trento, 18- February 013
More informationPhotopion photoproduction and neutron radii
Photopion photoproduction and neutron radii Dan Watts, Claire Tarbert University of Edinburgh Crystal Ball and A2 collaboration at MAMI Jefferson Lab PREX workshop, August 2008 Talk Outline Nuclear (π
More informationCoherent and incoherent π 0 photoproduction from nuclei
Coherent and incoherent π 0 photoproduction from nuclei Dan Watts, Claire Tarbert University of Edinburgh Crystal Ball@MAMI Collaboration EINN07, Milos Island, Greece, 2007 Talk Outline Neutral pion photoproduction
More informationCompound Nucleus Reactions
Compound Nucleus Reactions E CM a Q CN Direct CN decays Time. Energy. Two-step reaction. CN forgets how it was formed. Decay of CN depends on statistical factors that are functions of E x, J. Low energy
More informationQuantum Theory of Many-Particle Systems, Phys. 540
Quantum Theory of Many-Particle Systems, Phys. 540 Questions about organization Second quantization Questions about last class? Comments? Similar strategy N-particles Consider Two-body operators in Fock
More informationAlpha inelastic scattering and cluster structures in 24 Mg. Takahiro KAWABATA Department of Physics, Kyoto University
Alpha inelastic scattering and cluster structures in 24 Mg Takahiro KAWABATA Department of Physics, Kyoto University Introduction Contents Alpha cluster structure in light nuclei. Alpha condensed states.
More informationEffective Field Theory for Nuclear Physics! Akshay Vaghani! Mississippi State University!
Effective Field Theory for Nuclear Physics! Akshay Vaghani! Mississippi State University! Overview! Introduction! Basic ideas of EFT! Basic Examples of EFT! Algorithm of EFT! Review NN scattering! NN scattering
More informationNuclear spectroscopy using direct reactions of RI beams
Nuclear spectroscopy using direct reactions of RI beams Introduction Spectroscopy of exotic nuclei (inv. kin.) Recent experimental results SHARAQ project in RIBF highly excited exotic states spectroscopy
More informationMeson-baryon interaction in the meson exchange picture
Meson-baryon interaction in the meson exchange picture M. Döring C. Hanhart, F. Huang, S. Krewald, U.-G. Meißner, K. Nakayama, D. Rönchen, Forschungszentrum Jülich, University of Georgia, Universität Bonn
More informationSunday Monday Thursday. Friday
Nuclear Structure III experiment Sunday Monday Thursday Low-lying excited states Collectivity and the single-particle degrees of freedom Collectivity studied in Coulomb excitation Direct reactions to study
More informationDetermination of the η -nucleus optical potential
Determination of the η -nucleus optical potential M. Nanova II. Physikalisches Institut for the CBELSA/TAPS Collaboration Outline: motivation experimental approaches for determining the η -nucleus optical
More informationCharge exchange reactions and photo-nuclear reactions
Charge exchange reactions and photo-nuclear reactions σ( 7 Li, 7 Be) and σ(γ,n) S. Nakayama (Univ of Tokushima) Determination of σ(γ,n) from CE reactions (CE reaction = Charge Exchange reaction) Application
More informationCoulomb breakup of light composite nuclei. Abstract
Coulomb breakup of light composite nuclei J.A. Tostevin, S. Rugmai and R.C. Johnson, 1 H. Okamura, S. Ishida[ ], N. Sakamoto[ ], H. Otsu[ ], T. Uesaka[ ], T. Wakasa[ ] and H. Sakai, 2 T. Niizeki, H. Toyokawa[
More informationBeyond mean-field study on collective vibrations and beta-decay
Advanced many-body and statistical methods in mesoscopic systems III September 4 th 8 th, 2017, Busteni, Romania Beyond mean-field study on collective vibrations and beta-decay Yifei Niu Collaborators:
More information