# Polarizability of the nucleon

## TL;DR

This paper reviews experimental and theoretical research on nucleon polarizabilities, confirming recommended values and emphasizing the importance of nonsubtracted dispersion theory for accurate predictions.

## Contribution

It demonstrates that nonsubtracted dispersion theory provides the most meaningful predictions for nucleon polarizabilities, supported by experimental data.

## Key findings

- Confirmed recommended values of nucleon polarizabilities
- Validated nonsubtracted dispersion theory as the prediction method
- Provided updated numerical values for proton and neutron polarizabilities

## Abstract

The status of the experimental and theoretical investigations on the polarizabilities of the nucleon is presented. This includes a confirmation of the validity of the previously introduced recommended values of the polarizabilities [1,2]. It is shown that the only meaningful approach to a prediction of the polarizabilities is obtained from the nonsubtracted dispersion theory, where the appropriate degrees of freedom taken from other precise experimental data are taken in account. The present values of the recommended polarizabilities are $\alpha_p= 12.0 \pm 0.5$, $\beta_p= 1.9 \mp 0.5$, $\alpha_n= 12.6 \pm 1.2$, $\beta_n= 2.6 \mp 1.2$ in units of $10^{-4}$fm$^3$ and $\gamma^{(p)}_\pi= -36.4 \pm 1.5$, $\gamma^{(n)}_\pi =+58.6 \pm 4.0$, $\gamma^{(p)}_0=-0.58 \pm 0.20$, $\gamma^{(n)}_0= +0.38\pm 0.22$ in units of $10^{-4}$fm$^4$.