Recent developments in the nonelastic reaction code BRIEFF deuteron induced reaction and emission

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1 Recent developments n the nonelastc reacton code BRIEFF deuteron nduced reacton and emsson H. Duarte CEA/DAM/DIF helder.duarte@cea.fr EFNUDAT Pars, France May 20 H. Duarte EFNUDAT, May 20

2 LCP producton n nucleon nduced reacton * proton * deuteron * 3 H * 3 He * α Data : (p,xlcp) B. Pskor-Ignatowcz et al., EXFOR D (p,xp) v. Rchter et al., Phys.Rev. C46, 30 (992) H. Duarte EFNUDAT, May 20 2

3 Model Descrpton Fast stage of reacton s based on the Intra-nuclear Cascade (BRIC code) (H. Duarte, PRC 75, 0246) Incdent partcles : p,n, π +,,0 Partcles are ponts n phase space {r,p} Nucleus descrbed by realstc densty dstrbuton and smooth potental : V(r) = V N (r)+v C (r) Tme-dependent approach (t<200 fm/c) Equatons of moton of quas-free hadrons (E-m>-V): d r / dt= p/ E d p/ dt= V NN n-medum cross sectons (of L and Machledt) used n collson term Improvement at low ncdent energy : E threshold ~Max(V(r)) Coulomb barrer (H. Duarte, proceed. of Nuclear Data Conf. ND2007) H. Duarte EFNUDAT, May 20 3

4 A lmt of the BRIEFF Emsson of p,n,d,t, 3 He and α-partcle n the evaporaton of BRIEFF But No emsson of lght-mass ons (d,t, 3 He,αpartcle...) n INC stage (BRIC) H. Duarte EFNUDAT, May 20 4

5 (p,xd) and (p,xp) d 2 σ/dedω 75 MeV BRIEFF.6 58 N (p,xd) X (E p = 75 MeV) 58 N (p,xp) X (E p = 75 MeV) =6 o =20 o =6 o =20 o 2 2 =65 o =0 o E d (lab) BRIEFF.6.0 evap of BRIEFF 2 2 =35 o BRIEFF.6.0 evap of BRIEFF =80 o =65 o =0 o E proton (lab) Data : (p,xd) B. Pskor-Ignatowcz et al., EXFOR D (p,xp) v. Rchter et al., Phys.Rev. C46, 30 (992) H. Duarte EFNUDAT, May 20 5

6 Emsson of hgh-energy lght-mass ons (d,t, 3 He,αpartcle...) n INC stage (BRIC) s requred hgh-energy deuterons are the most produced lght-mass ons (wth α-partcles n some reactons) deuteron has a low bndng energy. Then t certanly does not come from knock-out process (whle hgh-energy α-partcles can come from ths process). st : study of deuteron nduced reactons to nclude deuteron breakup (and to nclude the cluster -type n BRIC). 2 nd : defnton of deuteron formaton n nucleon-nduced reacton takng nto account deuteron breakup. H. Duarte EFNUDAT, May 20 6

7 Reactons nduced by deuteron (/2) Poston and momentum of proton and neutron of ncdent deuteron nsde ts c.m. frame : r* : nucleon poston n the c.m.of densty dstrbuton from the Hùlthen wave foncton Φ H * ( r*) [exp( α. r*) exp( β. r*)]/ r * wth β = ( r *) for proton and neutron n c.m. frame of 2 E* = p* ( r*) + meff bnd m eff 2( r* ) = mn + e /2 wth p* = 0 ( r *) = m +V *( r *) N deuteron deuteron ( r *) = λ exp( µ. r*)/ r * λ exp(. r*)/ r * 7. α V * : potental of Malflet - Tjon (Nucl Phys A 27, 6) V A A B µ B H. Duarte EFNUDAT, May 20 7

8 Reactons nduced by deuteron (2/2) Equaton of moton of deuteron nsde target (lab frame) : drg PG dpg = = GV on dt E dt V r R on G G ( R ) = A. V ( R ) + Z. V ( R ) G on N : poston of deuteron center - of - mass n lab frame Nucleons of deuteron (N on ) n lab frame : ~ * P r G on ( ) ( ) * p, E : Lorentz transf. p, E p = PG, E = E G = r ( ): Lorentz transf. * (used n the INC collson term) r r C G H. Duarte EFNUDAT, May 20 8

9 Breakup of deuteron by the nuclear+coulomb feld of target nucleus V ( r n ) V ( r p ) > E break ( A the potentals of the target nucleus for the neutron and proton of deuteron n lab. frame targ ) where ( E break V ( r n ) and 4.3 MeV for V ( r A targ p ) are 60) or by N of deut -N targ collson (INC collson term) allowed f condtons on Paul blockng are fulflled n ~ ~ 2 S = P + P 2. m target nucle and ( ) ( ) 2 targ N H. Duarte EFNUDAT, May 20 9

10 (d,xp) d 2 σ/dedω 58 N (d,xp) X (E d = 0 MeV) 0 MeV 58 N (d,xp) X (E d = 0 MeV) =6 o = o θ 2 lab =5 o 2 =25 o =30 o =50 o E proton (lab) 2 =60o 2 2 =80o =0 o =70o 2 2 =90o E proton (lab) = o BRIEFF.7.0 no breakup by feld Data : D. Rdkas et al. Phys. Rev. C 63, 046 (2000) H. Duarte EFNUDAT, May 20

11 Deuteron formaton Inverse process of the deuteron breakup by the nuclear+coulomb feld = quas-free coalescence process, but t occurs at any tme of the INC and at any poston of the p-n par: ~ P = wth r ( ) * * p,e : nverse Lorentz transf. ( p,e ) m eff np ( r * ), then that depends cut on V * Malflet Tjon a p - n par forms a deuteron canddate f r r * * P < P = 20 MeV/c where P r * np = ( r r p * n * ). ( r * n ) r p * p ( r * p ) * r < R ( d ) max = 6 fm H. Duarte EFNUDAT, May 20

12 Deuteron emsson Deuteron center-of-mass follows the equaton of moton nsde nuclear+coulomb feld (2*V N (R G )+V C (R G ) n lab frame) There s a competton between deuteron formaton and deuteron breakup (by INC collson and by nuclear+coulomb feld) Successve breakups and formatons of the same deuteron canddate nsde nuclear target Deuteron emsson s the result of ths competton when centerof-mass of the deuteron canddate s far above the radal poston of the maxmum of the nuclear+coulomb feld. H. Duarte EFNUDAT, May 20 2

13 (p,xd) and (p,xp) d 2 σ/dedω 75 MeV 58 N (p,xd) X (E p = 75 MeV) 58 N (p,xp) X (E p = 75 MeV) =6 o =35 o =80 o =20 o =65 o E d (lab) =0 o BRIEFF.7.0 evap of BRIEFF 2 2 =6 o =35 o BRIEFF.7.0 evap of BRIEFF =80 o =20 o =65 o =0 o E proton (lab) Data : (p,xd) B. Pskor-Ignatowcz et al., EXFOR D (p,xp) v. Rchter et al., Phys.Rev. C46, 30 (992) H. Duarte EFNUDAT, May 20 3

14 (p,xd) and (p,xp) d 2 σ/dedω 6.7 MeV 60 N (p,xd) X (E p = 6.7 MeV) 60 N (p,xp) X (E p = 6.7 MeV) =5 o =20 o 2 =5o 2 =20o =25 o =40 o BRIEFF.7.0 evap of BRIEFF 2 =25 o 2 =40 o BRIEFF.7.0 evap of BRIEFF E d (lab) E proton (lab) Data : F.E. Bertrand and R.W. Peele, Phys. Rev. C 8, 45 (973) H. Duarte EFNUDAT, May 20 4

15 (n,xd) and (n,xp) d 2 σ/dedω 64.5 MeV 27 Al (n,xd) X (E n = 64.5 MeV) 27 Al (n,xp) X (E n = 64.5 MeV) =2 o =25 o =2 o =25 o 2 2 =40 o =70 o 2 =55 o =40 o =70 o =55 o E d (lab) BRIEFF.7.0 Ferm Breakup of BRIEFF E proton (lab) BRIEFF.7.0 Ferm Breakup of BRIEFF Data : Y. Nauch et al., J. Nucl. Sc. Techno. 36, 43 (999) H. Duarte EFNUDAT, May 20 5

16 (d,xp) d 2 σ/dedω 58 N (d,xp) X (E d = 0 MeV) 0 MeV 58 N (d,xp) X (E d = 0 MeV) =6 o = o θ 2 lab =5 o 2 =25 o =30 o =50 o E proton (lab) 2 =60o 2 2 =80o =0 o =70o 2 2 =90o E proton (lab) = o BRIEFF.7.0 no breakup by feld Data : D. Rdkas et al. Phys. Rev. C 63, 046 (2000) H. Duarte EFNUDAT, May 20 6

17 (d,xd) d 2 σ/dedω 58 N (d,xd) X (E d = 0 MeV) 0 MeV 58 N (d,xd) X (E d = 0 MeV) = o =5 o =25 o =50 o =40 o =60 o E d (lab) =70 o =90 o = o =80 o =0 o E d (lab) BRIEFF.7.0 evap of BRIEFF Data : S.V. Förtsch et al. Proceed ND200, J.Nucl.Sc.Tech. supp 2, pp (2002) H. Duarte EFNUDAT, May 20 7

18 (p,xd) d 2 σ/dedω 9 Ag (p,xd) X (E p = 300 MeV) =20 o =60 o 2 3 =20 o =40 o =90 o 2 3 =60 o E d (lab) BRIEFF.7.0 evap of BRIEFF 300 MeV Wth formaton by quas-free coalescence only N + N n INC collson term snce double countng s possble: condtons on = 5mb and Data : R.E.L. Green et al. Phys. Rev. C 35, 34 (987) N f N σ 3 + N + N (INC) prod d N d ( qf ) not yet ncluded (evap) prod d fulflled = 66 mb H. Duarte EFNUDAT, May π d + π N 3 + N 3 σ N 4

19 Summary Deuteron nduced reactons and deuteron producton n N- and d-nduced reactons are now taken nto account n the Intra Nuclear Cascade BRIC (and the reacton code BRIEFF) Breakup n deuteron nduced reacton s very senstve to nuclear+coulomb potental and to the (r,p) dstrbuton of ts nucleons. (N,xd) and (d,xd ) n contnuum s the result of the competton between deuteron breakup and deuteron formaton (they can occur at any tme of the INC and any poston of deuteron or p-n par) H. Duarte EFNUDAT, May 20 9

20 Summary Prelmnary results of (p,xd) and (d,xd) are promsng but need mprovements Current lmts: Cut-off n (r*,p*) dstrbuton of nucleon of deuteron n ts c.m. (p*<600 MeV/c, r*<6 fm) No pckup process (ex: (d,t)...; t should be partly ncluded n the formaton process of other ons) However next developments can also change results H. Duarte EFNUDAT, May 20 20

21 Next developments Developments to get the emsson of other lghtmass ons (t, 3 He, α-partcle) are under way In an approach consstent wth lght-mass on nduced reactons (wth same n-medum moton, on breakup by collson and potental, on-n and on-on n-medum scatterng ) Reactons nduced by heaver lght ons (L, Be, B, C...) H. Duarte EFNUDAT, May 20 2

22 Thank you for your attenton! H. Duarte EFNUDAT, May 20 22

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