Neutron-proton asymmetry in nuclear matter and finite nuclei
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1 Neuton-poton asymmety in nuclea matte and finite nuclei Dao Tien Khoa Institute fo Nuclea Science & Technology Vietnam tomic Enegy Commission VEC - Equation of state fo asymmetic nuclea matte - Chage-exchange pnis eaction Nuclea symmety enegy - pp scatteing on Oxygens Impuity of isospin symmety? utho s paticipation at NuSYM10 is suppoted by National Foundation fo Scientific and Technological Development NFOSTED
2 Neuton-poton asymmety in finite nuclei = N-Z/ is lage in neuton-ich nuclei with max =0.5 fo 8 He! Z N
3 Poton faction x= p / =0.5*1- = 0.5 ~ 1 0 = 0.94 ~ 0.90 x = 0.03 ~ ~ 0.17 nucleon/fm -3 = 2 ~ 6 0 = 0.86 ~ 0.80 x = 0.07 ~ 0.10 Sly EOS by Douchin & Haensel stonomy & stophysics Expeimentally <=> Symmety Enegy still unknown at lage!
4 Micoscopic calculation of nuclea matte BHF o DBHF NN scatteing data Fee NN inteaction Talks by Schulze & Lombado ntisymmetization Nuclea matte symmety enegy E sym
5 EOS of asymmetic nuclea matte Detemined by the isospin dependence of in-medium NN inteaction! Exploatoy HF study: D.T. Khoa W. von Oetzen.. Ogloblin Nucl. Phys Density dependent M3Y inteaction
6 HF esults given by some mean-field inteaction CDM3Yn: D.T. Khoa G.. Satchle and W. von Oetzen Phys. ev. C ; D.T. Khoa H.S. Than and D.C. Cuong Phys. ev. C M3Y-Pn: H. Nakada Phys. ev. C D1S: J.F. Bege M. Giod and D. Gogny Comp. Phys. Comm D1N: F. Chappet M. Giod and S. Hilaie Phys. Lett. B SLy4: E. Chabanat et al. Nucl. Phys b-initio vaiational calculation using gon V18 NN + NNN inte. P:. kmal V.. Pandhaipande and D.G. avenhall Phys. ev. C
7 M3Y-Pn D1S D1N fail to epoduce empiical pessue of neuton matte!
8 Two distinct scenaios fo NM symmety enegy: sy-soft & sy-stiff Neuton sta cooling? H.S. Than D.T. Khoa N.V. Giai Phys. ev. C x D => theshold fo the diect ca pocess T. Klahn et al. Phys. ev. C Talk by N.V. Giai!
9 T Z N E E E = = = Explicit IS and IV pats of the poton nucleus potential. } ] [ ] {[ 1 } ] [ ] {[ d s E k j s E s E E d s E k j s E s E E EX p n D p n EX n p D n p v v v v = = 1 micoscopic desciption of Lane potential D.T. Khoa E. Khan G. Colo and N. van Giai Nucl. Phys pn chage exchange scatteing to IS states and isospin dependence of the nucleon optical potential
10 ~ ~ n IS p IS n p = ~ 1 0 ~ p n n n n p p c p T E T K T E V T K IS IS = = T T n o p = = => the coupled channels equations fo quasi-elastic pn scatteing K pn and E pn ae the kinetic-enegy opeatos and cente-of-mass enegies of the entance-channel and the exit-channel The explicit isospin coupling based on the total wave function Cental OP in the entance channel Cental OP in the exit channel Density- and isospin dependent NN inteaction Folding model F pn G.. Satchle et al. Phys. ev. 136 B
11 STEP I: Mapping the isovecto density dependence of the CDM3Yn inteactions to the BHF esults by JLM goup v 0 E=F 0 E v 0 v 1 E=F 1 E v 1 Hatee-Fock calculation Complex nucleon optical potential in nuclea matte limit E=V 0 E+i*W 0 E±*[V 1 E+i*W 1 E] * Paametes of Im[F 0 E] e[f 1 E] and Im[F 1 E] ae adjusted to epoduce the BHF esults by J.P. Jeukenne. Lejeune and C. Mahaux JLM inteaction Phys. ev. C * v 0 and v 1 ae the oiginal M3Y - Pais inteaction by N. nantaaman et al. Nucl. Phys
12 STEP II: djusting the isospin dependence of the CDM3Yn inteaction to pn data fo IS excitation! D.T. Khoa H.S. Than and D.C. Cuong Phys. ev. C MS Data:.. Doeing et al. Phys. ev. C
13 . J. Funstahl Nucl. Phys Ono et al. Phys. ev. C D. V. Shetty et al. Phys. ev. C ; D. V. Shetty et al. NIM Phys. es. B
14 Data: W.T.H. van Oes et al. Phys. ev. C CH89 OP:. L. Vane et al. Phys. ep
15 Diffeence caused by diffeent isospin dependences in CDM3Y6 and M3Y-P5 inteactions!
16 MS Data:.. Doeing et al. Phys. ev. C Stiffness of the Sym. Enegy at low baion densities can be pobed by pn IS data!
17 . J. Funstahl Nucl. Phys Ono et al. Phys. ev. C D. V. Shetty et al. Phys. ev. C ; D. V. Shetty et al. NIM Phys. es. B Cust - coe inteface 1 st -ode phase tansition fom the NS cust to its unifom liquid coe Douchin & Haensel stonomy & stophysics
18 T Z = N - Z 2 Neuton-ich nuclei Lage isospins New magic numbe! N Stable 99.76% Stable 0.20% t 1/2 =13.51 s Decay: t 1/2 =2.25 s Decay: t 1/2 =0.061 s Decay: n 16 O 18 O 20 O 22 O 24 O = 0 = 0.11 = 0.20 = 0.27 = 0.33
19 36 S pimay beam 3*10 12 pps fagmented in the 12 C taget located in SISSI device In-flight poduction of 22 O seconday beam ~10 3 pps => Hydogen taget. pp events fom the detected ecoiling potons E. Becheva et al. Phys. ev. Lett
20 Boh Mottelson pesciption fo the nuclea tansition density 2 t g. s. t t d.. t g s = t with t = p n. d => poton and neuton gound state g.s. densities => the poton and neuton defomation lengths IS and IV tansition densities 01 = 01 n d[ g.s. n d g.s. ]. g.s. calculated in the HFB fomalism by Osay goup M. Gasso N. Sandulescu N. Van Giai and.j. Liotta Phys. ev. C
21 IS limit => neuton ρ n λ and poton ρ p λ tansition densities have the same shape total g.s. density scaled by N/ and Z/ δ n = δ p = δ 0 = δ 1 M M p N Z M M N Z n 1 = and = = 0 ε. IV mixing effect => Diffeence between M n /M p and N/Z o between M 1 /M 0 and ε BEλ exp =e 2 M p 2 => δ p ; neuton defomation length δ n is the only paamete detemined fom DWB fit to the pp data. δ n δ p M n M p <= one-to-one coespondence => δ 0 δ 1 M 0 M 1 D.T. Khoa Phys. ev. C
22 Data: J. H. Kelley et al. Phys. ev. C and F. Maéchal et al. Phys ev. C DWB analysis: D.T. Khoa EPJ Special Topics ε = 0.16 T 1/2 =170 m ε = 0.20 T 1/2 =8.8 s
23 2 + E2 tansition DS=DT=0 DL=2 g.s. IS limit => 1 = 0? Neuton shell closue at N = 20 weak isovecto defomation 1 < 0
24 Data: E. Khan et al. Phys. Lett. B ; E. Becheva et al. Phys. ev. Lett Complex folding + CC analysis: N.D. Chien & D.T. Khoa Phys. ev. C
25 Neuton decay data: C.. Hoffman et al. Phys. Lett. B ~ 4 MeV gap between Weake IV mixing in 22 O 2s1/2 and 1d3/2 subshells New magic numbe N=16!
26 N.D. Chien & D.T. Khoa Phys. ev. C E. Khan et al. Phys. Lett. B ; Becheva et al. Phys. ev. Lett E. Khan et al. Phys. ev. C Isospin symmety Chage independence of 2 + excitation in membes of the T-isospin multiplet M p -T z =M n T z?.m. Benstein V.. Bown and V.. Madsen Phys. ev. Lett BE2 exp => M p fo 18 Ne and 20 Mg => M n fo 18 O and 20 O and vice vese IKEN expeiment with unstable 20 Mg beam N. Iwasa et al. Phys. ev. C
27 Mio symmety in the fist 2 + excitation of = 18; T = 1 and = 20; T = 2 isobas Moe pp expeiments needed!
28 20 Mgpp at 50 MeV simulation of ecoiled poton spectum fo elastic and inelastic to 2 + state at 1.6 MeV in 20 Mg scatteing based on efficiency of MST2 detecto by Valeie Lapoux in Septembe Not yet measued!!!
29 Thank you! igato gozaimasu! Cám ơn!
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