Expanding the concept of in-hadron condensates

TL;DR

This paper extends the concept of in-hadron condensates to all hadrons using scalar form factors at zero momentum transfer, providing a new way to measure quark condensates and understand chiral symmetry breaking.

Contribution

It introduces a generalized framework for in-hadron condensates applicable to all hadrons based on scalar form factors at zero momentum transfer.

Findings

Derived a mass formula for scalar mesons.

Demonstrated the extension of in-hadron condensates to all hadrons.

Provided a method to extract quark condensates from scalar form factors.

Abstract

The in-pseudoscalar-meson condensate can be represented through the pseudoscalar-meson's scalar form factor at zero momentum transfer. With the aid of a mass formula for scalar mesons, revealed herein, the analogue is shown to be true for in-scalar-meson condensates. The concept is readily extended to all hadrons so that, via the zero momentum transfer value of any hadron's scalar form factor, one can readily extract the value for a quark condensate in that hadron which is a measure of dynamical chiral symmetry breaking.