Partial wave analysis for the in-hadron condensate

TL;DR

This paper investigates in-hadron condensates for flavor-symmetric mesons using Dyson-Schwinger equations, revealing their effectiveness in describing chiral symmetry breaking and providing new insights through partial wave analysis.

Contribution

It introduces a partial wave analysis of in-hadron condensates, offering new structural insights into meson excitations within the Dyson-Schwinger framework.

Findings

$ ho(1450)$ is not p wave-dominated

$ ext{π}(1300)$ is a radial excitation dominated by s waves

In-hadron condensates effectively describe dynamical chiral symmetry breaking

Abstract

In-hadron condensates, defined as the scalar form factors at zero-momentum transfer, are investigated for flavor-symmetric mesons in pseudoscalar and vector channels under the rainbow-ladder truncation within the Dyson-Schwinger equations framework. We confirm the efficiency of the in-hadron condensates in describing the effects of dynamical chiral symmetry breaking from both global and structural perspectives by comparing the meson masses, the dimensionless in-hadron condensates, and the partial wave decompositions of in-hadron condensates as functions of current-quark mass. From partial wave analysis, we infer $\pi(1300)$ is a radial excitation dominated by $s$ waves and $\rho(1450)$ is not a $p$ wave-dominated excitation. This work provides a new insight into the studies of hadron properties with partial wave analysis for the in-hadron condensates.