Chiral scalar form factor and central nucleon-nucleon potential

The central two-pion exchange $\mathrm{NN}$ 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 shown to be 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 $\mathrm{NN}$ system and supports the efficacy of the relativistic chiral framework. One also estimates the contribution of subleading effects and presents a simple discussion of the role of the quark condensate in this problem.