Eur. Phys. J. A (2022) 58: 105
https://doi.org/10.1140/epja/s10050-022-00756-0

Regular Article - Experimental Physics

The neutron and proton mass radii from the vector meson photoproduction data on the deuterium target

¹ Institute of Modern Physics, Chinese Academy of Sciences, 730000, Lanzhou, China
² University of Chinese Academy of Sciences, 100049, Beijing, China
³ Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, 510006, Guangzhou, China

^d rwang@impcas.ac.cn
^e xchen@impcas.ac.cn

Received: 27 January 2022
Accepted: 29 May 2022
Published online: 8 June 2022

Abstract

In this study, we try to extract the mass radii of the neutron and the proton from the differential cross section data of near-threshold and photoproductions on deuterium target, which is often approximated as a quasi-free neutron plus a quasi-free proton. The incoherent data of and photoproductions are provided by CBELSA/TAPS collaboration and LEPS collaboration respectively, where the deuteron is disintegrated in the experiments to measure the properties of individual nucleons. Under the VMD model and the assumption of dipole gravitational form factor, we determined the loosely bound neutron and proton mass radii to be fm and fm respectively from the near-threshold data of and , for the first time. With the near-threshold and incoherent photoproduction data of , we determined the average mass radius of the bound nucleon (neutron or proton) inside the deuteron to be fm, for the first time. For a comparison study, we also extracted the mass radius of the free proton from the photoproduction on the hydrogen target by CBELSA/TAPS collaboration. Based on our analysis results under the assumptions of VMD model and a low energy QCD theorem, we find that the neutron mass radius is consistent with the proton mass radius within the current statistical uncertainties, and that the nuclear modification on the nucleon mass radius is small inside the deuteron.