Accuracy of the Superconductivity Approximation for Pairing Forces in Nuclei

Dynamical symmetry of isobaric analog0+states in medium mass nuclei

“…In this way, the G values are expected to reproduce the low-lying vibrational spectra of near closed-shell nuclei in the SU ± (2) limit of the model (like-particle pairing) (Figure 1). When the results from the three nuclear regions (I, II, and III) are considered, the pairing strength parameter is found to follow the well-known 1/A trend [14,42,43,44,45],…”

The nuclear pairing problem: new perspectives

“…The dimensions of the classes are never exceedingly large, and, with a sparse pairing Hamiltonian matrix, the numerical solution is very fast. Already at this stage, one can compare the results of the exact solution with those of the BCS approximation for the same pairing matrix elements and single-particle energies (long ago such a comparison for simple examples on the existed level of accuracy was considered [14] as an argument in favor of the BCS approach). The detailed comparison for a typical spherical nucleus 114 Sn within the space of g 7/2 , d 5/2 , d 3/2 , s 1/2 , and h 11/2 neutron orbitals was made in Ref.…”

Spherical Nuclei With Simple Residual Forces

“…Since there exist rather complete descriptions of the method of solution based onthe work in the theory o.9f superconductivity and of the accuracy of the results (including the effect of spurious states) for nuclear problems in the regions studied -*in the present work 9 , we limit ourselves to a brief discussion of the procedure in order to define the various quantities and to try to make the paper more self-contained. Since the neutron-proton pairing interaction is neglected, the procedure which is described below is applied to neutrons and protons separately and the index • is dropped.…”