Theoretical analysis of the extraction of neutron skin thickness from coherent {\pi}0 photoproduction off nuclei

TL;DR

This paper provides a theoretical analysis showing that coherent b0 photoproduction on heavy nuclei is not practically sensitive to neutron skin thickness, suggesting it should be combined with other methods for accurate inference.

Contribution

The study offers a detailed theoretical model analyzing the sensitivity of b0 photoproduction to neutron skin thickness, highlighting its limited practical use for this purpose.

Findings

The reaction's cross sections are insensitive to nucleonic density variations.

The b0 photoproduction process is mainly an isoscalar observable.

Combining this method with other measurements improves neutron skin thickness inference.

Abstract

Background: Coherent {\pi}0 photoproduction on heavy nuclei has been suggested as a reliable tool to infer neutron skin thicknesses. To this aim, various experiments have been performed, especially on 208Pb. Purpose: We analyze the sensitivity of that reaction process to the nucleonic density, and especially to the neutron skin thickness, for 12C, 40Ca and 208Pb, for which reliable data exist, and on 116,124Sn, for which measurements have been performed in Mainz. We study also the role played by the {\pi}0-nucleus final-state interaction. Method: A model of the reaction is developed at the impulse approximation considering either plane waves or distorted waves to describe the {\pi}0-nucleus scattering in the outgoing channel. Results: Our calculations are in good agreement with existing data, especially for 208Pb. The sensitivity of the theoretical cross sections to the choice of the nucleonic density is small, and below the experimental resolution. Conclusions: Coherent {\pi}0 photoproduction is mostly an isoscalar observable that bares no practical sensitivity to the neutron skin thickness. To infer that structure observable it should be coupled to other reaction measurements, such as electron scattering, or by comparing experiments performed on isotopes of the same chemical element.