Can Low Mass Scalar Meson Nonet Survive in Large N_c Limit ?

TL;DR

This paper investigates the fate of low mass scalar mesons in the large N_c limit using unitarized Chiral Perturbation Theory, finding that scalar mesons fade out while vector mesons remain as narrow resonances.

Contribution

It demonstrates that low mass scalar mesons do not survive in the large N_c limit, contrasting with vector mesons which remain as narrow resonances.

Findings

Vector mesons like nd K^* survive as narrow resonances.

Scalar mesons below 1 GeV fade out as N_c increases.

Scalar mesons do not persist in the large N_c regime.

Abstract

We study, within an approximate Inverse Amplitude Method to unitarize Chiral Perturbation Theory, whether low mass scalar mesons can survive in large N_c regime, and show that vector mesons such as \rho and K^* survive as narrow width resonances, but all of the scalar meson nonet below 1GeV fade out as N_c becomes large.