On the Electric Dipole Polarizability of the Three-Hadron Bound System

TL;DR

This paper derives a simple analytical formula for the electric dipole polarizability of three-hadron bound systems with one stable state, and applies it to estimate the triton's polarizability.

Contribution

It introduces a new analytical expression for the polarizability of three-hadron systems, neglecting higher orbital components, and demonstrates its application to the triton.

Findings

Estimated the triton's electric dipole polarizability using the new formula.

Validated the approach with a cluster wave function and Hulthen potential.

Provided a simplified method for calculating polarizability in three-hadron systems.

Abstract

A simple analytical expression for the electric dipole polarizability of the three-hadron bound system having only one stable bound state has been derived neglecting by the higher orbital components of the off-shell three-body transition matrix at the energy of the bound state. As a case in point, we have estimated the electric dipole polarizability of the triton, using a cluster triton wave function and the Hulthen potential to describe the related p-n and n-d bound states.