Nuclear mean field and double-folding model of the nucleus-nucleus optical potential

Abstract

Realistic density dependent CDM3Yn versions of the M3Y interaction have been used in an extended Hartree-Fock (HF) calculation of nuclear matter (NM), with the nucleon single-particle potential determined from the total NM energy based on the Hugenholtz-van Hove theorem that gives rise naturally to a rearrangement term (RT). Using the RT of the single-nucleon potential obtained exactly at different NM densities, the density- and energy dependence of the CDM3Yn interactions was modified to account properly for both the RT and observed energy dependence of the nucleon optical potential. Based on a local density approximation, the double-folding model of the nucleus-nucleus optical potential has been extended to take into account consistently the rearrangement effect and energy dependence of the nuclear mean-field potential, using the modified CDM3Yn interactions. The extended double-folding model was applied to study the elastic ${}^{12}$C+${}^{12}$C and ${}^{16}$O+${}^{12}$C scattering at the refractive energies, where the Airy structure of the nuclear rainbow has been well established. The RT was found to affect significantly the real nucleus-nucleus optical potential at small internuclear distances, giving the potential strength close to that implied by the realistic optical model description of the Airy oscillation.

arXiv commentAccepted for publication in Physical Review C. arXiv admin note: text overlap with arXiv:1508.05568

References in corpus (6)

• Asymmetric Nuclear Matter from Extended Brueckner-Hartree-Fock Approach
• Nuclear rainbow scattering and nucleus-nucleus potential
• Evidence for a secondary bow in Newton's zero-order nuclear rainbow
• Revisiting the Hugenholtz-Van Hove theorem in nuclear matter
• Effects of a chiral three-nucleon force on nucleus-nucleus scattering
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• Nuclear rainbow of the symmetric nucleus-nucleus system: Interchange of the nearside and farside scattering
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• Existence of a fourth Airy elephant in the nuclear rainbows for ${}^{12}$C+${}^{12}$C scattering
• Systematics of supernumerary nuclear rainbow in inelastic ${}^{16}$O+${}^{12}$C scattering
• Nuclear Rainbow of Core-Symmetric Systems
• Comparative folding-model study of low-energy elastic scattering and fusion of the ${}^{12}$C+${}^{12}$C and ${}^{16}$O+${}^{16}$O systems