A CALCULATION OF THE TIN ISOTOPES USING REALISTIC NUCLEON-NUCLEON INTERACTIONS.
Abstract
Shell-model matrix elements are calculated for Tabakin's two-nucleon interaction, which is a sum of separable potentials fitted to the nucleon-nucleon scattering data up to 320 MeV and designed to be used in Hartree-Fock calculations. It is shown that p-states make a substantial contribution to the pairing matrix elements, in some cases larger than the contribution of s-states. The matrix elements are compared with those calculated by T. T. S. Kuo and G. E. Brown using the Hamada-Johnston potential, and there is remarkable numerical agreement. A quasiparticle calculation is made with these matrix elements to study the low-lying states of the tin isotopes. The results are that, when only the usual five single-particle states are included, the odd-even mass difference is roughly half the experimental value; when more configuration mixing is included by allowing excitation of the core and permitting higher levels to be partially filled, satisfactory agreement is attained with the experimental oddeven mass difference, with the low-energy spectra of the odd isotopes, and with changes in separation energies. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1965
- Accession Number
- AD0625761
Entities
People
- Elizabeth Baranger
- Michel Baranger
- T. T. S. Kuo
Organizations
- Carnegie Institute of Technology