Scalar meson mass from renormalized One Boson Exchange Potential

TL;DR

This paper determines the scalar meson mass and coupling constants from nucleon-nucleon scattering data using a renormalized One Boson Exchange Potential, highlighting the insensitivity to short-range interactions and the relevance of SU(3) couplings.

Contribution

It introduces a renormalization approach to the OBE potential that reduces dependence on unknown short-distance physics and constrains scalar meson parameters from low-energy scattering data.

Findings

Scalar meson parameters are tightly constrained by np scattering data.

Vector mesons are marginally important in the model.

The approach shows insensitivity to short-distance interaction uncertainties.

Abstract

We determine the mass and strength of the scalar meson from NN scattering data by renormalizing the One Boson Exchange Potential. This procedure provides a great insensitivity to the unknown short distance interaction making the vector mesons marginally important and allowing for SU(3) couplings in the 1S0 channel. The scalar meson parameters are tightly constrained by low energy np. We discuss whether this scalar should be compared to the recent findings based on the Roy equations analysis of pipi scattering.