Partial wave analysis for the in-hadron condensate

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 (RL) 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, pi(1300) is inferred as a radial excitation dominated by s waves, while rho(1450) needs further studies beyond the RL truncation. This work provides a new insight into the studies of hadron properties with partial wave analysis for the in-hadron condensates.

Automated summary

This paper investigates the in-hadron condensates for flavor-symmetric mesons in pseudoscalar and vector channels within the Dyson-Schwinger equations framework. The efficiency of the in-hadron condensates in describing the effects of dynamical chiral symmetry breaking is confirmed from both global and structural perspectives. Partial wave analysis suggests that pi(1300) is a radial excitation dominated by s waves, while further studies are needed for rho(1450) beyond the investigated truncation. This work provides new insights into the studies of hadron properties using partial wave analysis for in-hadron condensates.