Deuteron electric quadrupole and octupole polarizabilities

TL;DR

This paper applies a direct transition-matrix approach to calculate the electric quadrupole and octupole polarizabilities of the deuteron, providing explicit expressions and numerical estimates for a specific interaction model.

Contribution

It introduces a novel application of the transition-matrix method to determine higher-order electric polarizabilities of the deuteron.

Findings

Derived explicit formulas for deuteron quadrupole and octupole polarizabilities.

Calculated numerical values using an S-wave separable potential model.

Enhanced understanding of deuteron electromagnetic properties.

Abstract

The direct transition-matrix approach to determination of the electric polarizabilities of quantum bound systems developed in my recent work is applied to study the electric multipole polarizabilities of a two-particle bound complex with a central interaction between the particles. Expressions for the electric quadrupole and octupole polarizabilities of the deuteron are derived and their values in the case of the S-wave separable interaction potential are calculated.