Central Nucleon-Nucleon Potential and Chiral Scalar Form Factor

TL;DR

This paper investigates the long-range central nucleon-nucleon potential using relativistic chiral symmetry, linking it to the nucleon scalar form factor, and emphasizes the importance of finite nucleon mass in accurate modeling.

Contribution

It provides a relativistic chiral framework for the two-pion exchange NN potential and assesses the impact of finite nucleon mass on the potential's behavior.

Findings

Heavy baryon limit overestimates potential by 25%

Finite nucleon mass significantly affects the NN potential

Subleading effects and quark condensate contributions are estimated

Abstract

The central two-pion exchange NN potential at large distances is studied in the framework of relativistic chiral symmetry and related directly to the nucleon scalar form factor, which describes the mass density of its pion cloud. This relationship is well supported by phenomenology and allows the dependence of the asymptotic potential on the nucleon mass to be assessed. Results in the heavy baryon limit are about 25% larger than those corresponding to the empirical nucleon mass in the region of physical interest. This indicates that it is very important to keep this mass finite in precise descriptions of the NN system and supports the efficacy of the relativistic chiral framework. One also estimates the contribution of subleading effects and presents a simple discussions of the role of the quark condensate in this problem.