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arXiv · 2205.05981

Partial wave analysis for the in-hadron condensate

Pianpian Qin·Zhan Bai·Muyang Chen·Si-xue Qin
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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 $π(1300)$ is a radial excitation dominated by $s$ waves and $ρ(1450)$ 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.

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Pianpian Qin, Zhan Bai, Muyang Chen, Si-xue Qin. 2022-05-12. Partial wave analysis for the in-hadron condensate. https://doi.org/10.1103/physrevd.106.034006

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