Mesut Karakoç May 31st, 2012 TAMU-Commerce & Akdeniz U. - Turkey Collaborators: Carlos Bertulani (TAMU-Commerce) Adriana Banu (James Madison U.) Livius Trache (Texas A&M University) Coulomb distortion and medium corrections in nucleon-removal reactions
Eikonal Waves k k’k’ E << E, << 1 radian, v V(r) rb z Breakup (Knockout) Reactions
(a) Diffraction Dissociation: (Elastic breakup) Breakup amplitude: to state k (b) Stripping: (Inelastic breakup) bnbn bCbC z C survives, n absorbed
4 Momentum Distribution 60 MeV/nucleon S n = MeV One neutron-removal
Medium effects in NN (Pauli Exclusion) Bethe – Goldstone equation Effective two-nucleon interaction in infinite nuclear matter (Bethe – Goldstone equation): Solutions for the equation: 1 - Geometric approximation 2 - Brueckner theory 3 – Phenomenological app. Bertulani, Phys. Rep. (1991), JPG 27, L67 (2001) Bertulani, De Conti, PRC 81, (2010) pp : proton-proton collision cross-section
11 Be + 9 Be 10 Be + 60 MeV/u Data: T. Aumann et al, PRL 84, 35 (2000) The Coulomb corrections change the cross-sections by about 0.03% but, medium corrections has a huge effect which is almost 52%. S n =0.504 MeV weakly bound Low Energy: Karakoc, Bertulani, arXiv:
23 Al + 12 C 22 Mg + 50 MeV/u Karakoc, Bertulani, arXiv: Data: Banu et al, PRC 84, (2011) Low Energy: S p =0.141MeV weakly bound The Coulomb corrections change the cross-sections by about 16% but, medium corrections has an effect which is almost 21%.
15 O + 9 Be 14 N + 56 MeV/u Data: H. Jeppesen et al, NPA 739, 57 (2004) The Coulomb corrections change the cross-sections by about 5% but, medium corrections has an effect which is almost 18%. Low Energy: S p =7.29 MeV Karakoc, Bertulani, arXiv:
17 C + 12 C 16 B + 35 MeV/u Data: Lecouey et al, PLB 672, 6 (2009) Medium corrections change the cross-sections by about 5% but, the Coulomb corrections has a huge effect which is almost 60%. S p =23.0 MeV tightly bound Low Energy: Karakoc, Bertulani, arXiv:
17 C + Y 16 B + E (MeV/u) different targets, Y different energies, E Karakoc, Bertulani, arXiv: solid : with Coulomb dashed: without Coulomb Low Energy (Coulomb):
Karakoc, Bertulani, arXiv: Low Energy (Coulomb): S p =23.0 MeV tightly bound S p =0.141MeV weakly bound
Karakoc, Bertulani, arXiv: Low Energy (Medium): S p =0.141MeV S p =23.0 MeV S p =7.29 MeV S p =0.504MeV
24 O + 12 C 23 O MeV/u Data: Kanungo et al, PRL 102, (2009) Brueckner calculations are limited by the pion production threshold, and should only be valid for projectile nucleon energies below 300 MeV/u. Karakoc, Bertulani, arXiv: S n =3.61(27) MeV High Energy:
Conclusions: Medium corrections for the nucleon-nucleon cross sections and Coulomb distortion, modify appreciably the nucleon knockout cross sections. As expected on physics grounds, these corrections are shown to be larger for experiments at lower energies, around 50 MeV/nucleon. Future: To take in to account higher order corrections, CDCC (Continuum Discretized Coupled Channels) is the next step! THANK YOU!