Effect of Tensor Correlations on Gamow-Teller States in 90Zr and 208Pb

TL;DR

This study investigates how tensor correlations influence Gamow-Teller states in 90Zr and 208Pb, showing that tensor terms significantly shift strength functions and sum rules within a self-consistent HF+RPA framework.

Contribution

It introduces the inclusion of tensor terms in the Skyrme interaction within HF+RPA calculations for GT states, quantifying their impact on energy shifts and sum rule distributions.

Findings

Main peaks shift downward by about 2 MeV with tensor terms.

Approximately 10% of the non-energy weighted sum rule moves above 30 MeV.

Analytical expression for tensor contribution to the energy weighted sum rule.

Abstract

The tensor terms of the Skyrme effective interaction are included in the self-consistent Hartree-Fock plus Random Phase Approximation (HF+RPA) model. The Gamow-Teller (GT) strength function of 90Zr and 208Pb are calculated with and without the tensor terms. The main peaks are moved downwards by about 2 MeV when including the tensor contribution. About 10% of the non-energy weighted sum rule is shifted to the excitation energy region above 30 MeV by the RPA tensor correlations. The contribution of the tensor terms to the energy weighted sum rule is given analytically, and compared to the outcome of RPA.