Infrared extrapolations of quadrupole moments and transitions

TL;DR

This paper develops and validates infrared extrapolation formulas for quadrupole moments and transitions in nuclear physics, improving the accuracy of finite-space calculations.

Contribution

It introduces new analytical extrapolation formulas for quadrupole moments and transitions, validated through numerical benchmarks with model interactions.

Findings

Good agreement between analytical and numerical convergence behaviors.

Effective extrapolation formulas improve finite-space calculations.

Validated methods for deuteron and simple systems.

Abstract

We study the convergence of bound-state quadrupole moments in finite harmonic oscillator spaces. We derive an expression for the infrared extrapolation for the quadrupole moment of a nucleus and benchmark our results using different model interactions for the deuteron. We find good agreement between the analytically derived and numerically obtained convergence behavior. We also derive an extrapolation formula for electric quadrupole transitions and find good agreement with the numerical calculation of a simple system.