Core Polarization with Variable Length Parameters for Valence Particles

TL;DR

This paper investigates how core polarization effects in nuclear models depend on the distance of valence particles from the core, using harmonic oscillator wave functions with variable length parameters and perturbation theory.

Contribution

It introduces a method to analyze core polarization with variable length parameters for valence particles, extending previous models with fixed parameters.

Findings

Core polarization varies with valence particle distance from the core.

Results are applicable to density-dependent delta interactions.

The approach enhances understanding of valence-core interactions in nuclear physics.

Abstract

We study quadrupole and monopole core polarization using harmonic oscillator wave funtions but with different length parameters for the valence particle as compared to the core. We use perturbation theory with a delta interaction. The results also hold for a density dependent delta interaction [1]. We study how the amount of core polarization varies with the distance of the valence particle from the core.