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Mesut Karakoç

Coulomb distortion and medium corrections in nucleon-removal reactions. Mesut Karakoç. T AMU- Commerce & Akdeniz U . - Turkey. Collaborators: Carlos Bertulani (TAMU-Commerce) Adriana Banu (James Madison U.) Livius Trache (Texas A&M University) . May 31st , 201 2.

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Mesut Karakoç

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  1. Coulomb distortion and medium corrections in nucleon-removal reactions Mesut Karakoç TAMU-Commerce & Akdeniz U. - Turkey Collaborators: Carlos Bertulani (TAMU-Commerce) Adriana Banu (James Madison U.) LiviusTrache (Texas A&M University) May31st, 2012

  2. Breakup (Knockout) Reactions Eikonal Waves DE << E, q << 1 radian , k’ q k V(r) v r b z

  3. (a) Diffraction Dissociation: (Elastic breakup) Breakup amplitude:to state k (b) Stripping:(Inelastic breakup) C survives, n absorbed bC bn z

  4. MomentumDistribution One neutron-removal 60 MeV/nucleon Sn= 0.504MeV

  5. Medium effects in sNN (Pauli Exclusion) Effective two-nucleon interaction in infinite nuclear matter (Bethe – Goldstone equation): Solutions for the equation: 1 - Geometric approximation 2 - Brueckner theory 3 – Phenomenological app. spp: proton-proton collision cross-section Bertulani, Phys. Rep. (1991), JPG 27, L67 (2001) Bertulani, De Conti, PRC 81, 064603 (2010)

  6. LowEnergy: 11Be + 9Be  10Be + X @ 60 MeV/u Sn=0.504 MeV weaklybound TheCoulombcorrections change the cross-sections by about 0.03% but,mediumcorrections has a huge effect which is almost52%. Data: T. Aumannet al, PRL 84, 35 (2000) Karakoc, Bertulani, arXiv:1201.3677

  7. LowEnergy: 23Al + 12C 22Mg + X @ 50 MeV/u Sp=0.141MeV weaklybound TheCoulombcorrections change the cross-sections by about 16% but,mediumcorrections has aneffect which is almost21%. Data:Banu et al, PRC 84, 015803 (2011) Karakoc, Bertulani, arXiv:1201.3677

  8. LowEnergy: 15O + 9Be  14N + X @ 56 MeV/u Sp=7.29 MeV TheCoulombcorrections change the cross-sections by about 5% but,mediumcorrections has aneffect which is almost18%. Data: H. Jeppesenet al, NPA 739, 57 (2004) Karakoc, Bertulani, arXiv:1201.3677

  9. LowEnergy: 17C + 12C  16B + X @ 35 MeV/u Sp=23.0 MeV tightlybound Mediumcorrections change the cross-sections by about 5% but,the Coulomb corrections has a huge effect which is almost60%. Data: Lecouey et al, PLB 672, 6 (2009) Karakoc, Bertulani, arXiv:1201.3677

  10. LowEnergy (Coulomb): 17C + Y 16B + X @ E (MeV/u) solid : withCoulomb dashed: withoutCoulomb differenttargets, Y differentenergies, E Karakoc, Bertulani, arXiv:1201.3677

  11. LowEnergy (Coulomb): Sp=23.0 MeV tightlybound Sp=0.141MeV weaklybound Karakoc, Bertulani, arXiv:1201.3677

  12. LowEnergy (Medium): Sp=23.0 MeV Sp=7.29 MeV Sp=0.141MeV Sp=0.504MeV Karakoc, Bertulani, arXiv:1201.3677

  13. High Energy: 24O + 12C  23O + X @ 920 MeV/u Sn=3.61(27) MeV Brueckner calculations are limited by the pionproductionthreshold, and should only be valid for projectilenucleon energies below 300 MeV/u. Data: Kanungo et al, PRL 102, 152501 (2009) Karakoc, Bertulani, arXiv:1201.3677

  14. Conclusions: • Mediumcorrectionsfor 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 toaccounthigherordercorrections, CDCC (ContinuumDiscretizedCoupledChannels) is thenext step! • THANK YOU!

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