Abstract
Pair vibrations are studied for a Hamiltonian with neutron–neutron, proton–proton and neutron–proton pairing. The spectrum is found to be rich in strongly correlated, low-lying excited states. Changing the ratio of diagonal to off-diagonal pairing matrix elements is found to have a large impact on the excited-state spectrum. The variational configuration interaction (VCI) method, used to calculate the excitation spectrum, is found to be in very good agreement with exact solutions for systems with large degeneracies having equal T=0 and T=1 pairing strengths.
Highlights
The collective features of many quantum systems are driven by the tendency of the constituent particles to form pairs which translates into the existence of a strong attractive pairing interaction
There exist excited states with energies substantially less than the energy required to promote a pair of nucleons across the gap. In such cases the correlation energy in the excited state is comparable to or larger than it is in the ground state
For odd isospin no exact solutions for guidance in this case, T, we consider only the lowest solution as we can get some sense of the quality of the it is the only one in the energy range of the variational configuration interaction (VCI) method for excited states by comparfour low-lying T -even excited states
Summary
The collective features of many quantum systems are driven by the tendency of the constituent particles to form pairs which translates into the existence of a strong attractive pairing interaction. In such cases the correlation energy in the excited state is comparable to or larger than it is in the ground state.
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