Shell Structure and Evolution of Collectivity in Nuclei above the 132Sn Core

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Neutron- rich nuclei above the doubly magic 132Sn near neutron drip-line are of recent interest. The masses and weak interaction rates are particularly useful for astrophysical r-process studies. The present work addresses some of the important issues in the light of the shell model. Large basis untruncated shell model calculations have been done for the A=138 neutron - rich nuclei in proton (gdsh) and neutron (hfpi) valence space above the 132Sn core using the OXBASH code. Two (1+2) body nuclear Hamiltonians, viz.; realistic CWG and empirical SMPN in this model space have been used. Untruncated shell model calculations for 6 valence nucleons in this large basis space usually involve matrices of large dimensions. Calculated ground state binding energies, level spectra and other spectroscopic properties have been compared with the available experimental data. Matrix elements of the two interactions are compared to gain insight into the N-N interaction in this exotic domain.

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