Analytically Solvable Mean-Field Potential for Stable and Exotic Nuclei

Abstract

Slater determinants built from the single-particle wave functions of the analytically solvable Ginocchio potential are used to approximate the self-consistent Hartree-Fock solutions for the ground states of nuclei. The results indicate that the Ginocchio potential provides a good parametrization of the nuclear mean field for a wide range of nuclei, including those at the limit of particle stability.

11 pages, LateX, 3 postscript figures. Submitted to Physical Review Letters

References in corpus (3)

• Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
• A generalized local approximation to the exchange potential
• Structure of Pairs in Heavy Weakly-Bound Nuclei

Cited by in corpus (3)

• Fast computation of the Gauss hypergeometric function with all its parameters complex with application to the Poschl-Teller-Ginocchio potential wave functions
• Continuum effects for the mean-field and pairing properties of weakly bound nuclei
• New Discrete Basis for Nuclear Structure Studies