Effects of the particle-particle channel on properties of low-lying vibrational states

TL;DR

This paper extends the finite rank separable quasiparticle random phase approximation to include residual particle-particle interactions, enabling detailed nuclear structure calculations of low-lying vibrational states in various nuclei.

Contribution

It introduces an extension of the finite rank separable approach to incorporate residual particle-particle interactions in nuclear structure calculations.

Findings

Calculated properties of quadrupole states in several nuclei.

Demonstrated the impact of particle-particle channel on vibrational states.

Validated the approach with realistic Skyrme and density-dependent interactions.

Abstract

Making use of the finite rank separable approach for the quasiparticle random phase approximation enables one to perform nuclear structure calculations in very large two-quasiparticle spaces. The approach is extended to take into account the residual particle-particle interaction. The calculations are performed by using Skyrme interactions in the particle-hole channel and density-dependent zero-range interactions in the particle-particle channel. To illustrate our approach, we study the properties of the lowest quadrupole states in the even-even nuclei $^{128}$Pd, $^{130}$Cd, $^{124-134}$Sn, $^{128-136}$Te and $^{136}$Xe.