Tetraquarks from the Bethe-Salpeter equation

TL;DR

This paper numerically solves the four-quark Bethe-Salpeter equation to explore the structure of light scalar tetraquarks, supporting their interpretation as tetraquark states with masses around 400 MeV.

Contribution

It provides a novel numerical solution of the four-quark Bethe-Salpeter equation demonstrating the dynamical generation of light scalar tetraquarks.

Findings

Light isoscalar tetraquark mass ~ 400 MeV

Pseudoscalar poles are dynamically generated

Supports tetraquark interpretation of light scalar nonet

Abstract

We present a numerical solution of the four-quark Bethe-Salpeter equation for a scalar tetraquark. We find that the four-body equation dynamically generates pseudoscalar poles in the Bethe-Salpeter amplitude. The sensitivity to the pion poles leads to a light isoscalar tetraquark mass M ~ 400 MeV, which is comparable to that of the sigma/f0(500). The masses of its multiplet partners kappa and a0/f0 follow a similar pattern, thereby providing support for the tetraquark interpretation of the light scalar nonet.