Particle-core coupling for heavy odd-odd and odd-even Sb nuclei: A shell model approach

Particle-core coupling calculations on heavy odd-odd and odd-even Sb nuclei have been carried out, starting from a shell-model description. Starting from a description of the core system (Sn nuclei) and a multipole-multipole protonneutron interaction, we have derived particle-core coupling matrix elements (applicable to odd-mass as well as to odd-odd nuclei). Detailed calculations have been carried out for ${}_{}{}^{132,130,129}{}_{}{}^{}\mathrm{Sb}$. In the latter case, extensive comparison is made with macroscopic particle-core coupling calculations.