Nuclear shell model and phase transitions
Author(s) -
S. Karampagia,
Vladimir Zelevinsky
Publication year - 2017
Publication title -
aip conference proceedings
Language(s) - English
Resource type - Conference proceedings
eISSN - 1551-7616
pISSN - 0094-243X
DOI - 10.1063/1.5016133
Subject(s) - hamiltonian (control theory) , observable , shell model , physics , nuclear structure , nuclear matrix , matrix (chemical analysis) , nuclear shell model , phase transition , hamiltonian matrix , statistical physics , atomic physics , condensed matter physics , quantum mechanics , materials science , chemistry , mathematics , symmetric matrix , dna , mathematical optimization , biochemistry , eigenvalues and eigenvectors , chromatin , composite material
The usual nuclear shell model defines nuclear properties through the two-body interaction Hamiltonian. It is not clear, however, how the individual matrix elements contribute to the physical quantities. It is the purpose of this study to understand how various groups of interaction matrix elements affect the nuclear observables and the many-body properties, such us collectivity and the nuclear level density. By changing the values of specific matrix elements, we find a transition between a collective and a non-collective phases, accompanied by changes in the level density which become more pronounced for even-odd and odd-odd nuclei. We also find an enhancement of the level density in the collective state, present for all nuclei.The usual nuclear shell model defines nuclear properties through the two-body interaction Hamiltonian. It is not clear, however, how the individual matrix elements contribute to the physical quantities. It is the purpose of this study to understand how various groups of interaction matrix elements affect the nuclear observables and the many-body properties, such us collectivity and the nuclear level density. By changing the values of specific matrix elements, we find a transition between a collective and a non-collective phases, accompanied by changes in the level density which become more pronounced for even-odd and odd-odd nuclei. We also find an enhancement of the level density in the collective state, present for all nuclei.
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