Core Polarization with Variable Oscillator Length Parameters for Valence Particles

TL;DR

This paper investigates how core polarization effects in valence particles are influenced by variable oscillator length parameters, using perturbation theory with delta interactions to analyze quadrupole and monopole polarization.

Contribution

It introduces a method to incorporate different oscillator length parameters for valence particles in core polarization calculations, extending traditional models.

Findings

Core polarization varies with the valence particle distance from the core.

The approach is applicable to density-dependent delta interactions.

Results provide insights into valence-core coupling effects.

Abstract

We study quadrupole and monopole core polarization using harmonic oscillator wave functions 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