Accession Number:

AD0625761

Title:

A CALCULATION OF THE TIN ISOTOPES USING REALISTIC NUCLEON-NUCLEON INTERACTIONS.

Descriptive Note:

Technical rept.,

Corporate Author:

CARNEGIE INST OF TECH PITTSBURGH PA DEPT OF PHYSICS

Personal Author(s):

• KUO,T. T. S.
• Baranger,Elizabeth
• Baranger,Michel

Report Date:

1965-11-01

Pagination or Media Count:

59.0

Abstract:

Shell-model matrix elements are calculated for Tabakins 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

Descriptors:

• *TIN
• NUCLEONS
• NUCLEAR ENERGY LEVELS
• WAVES
• NUCLEAR SCATTERING
• ODD EVEN NUCLEI

Subject Categories:

• Nuclear Physics and Elementary Particle Physics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE