QCD sum rule study on excited light meson operators

Fuente: arXiv
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Auteurs principaux: Tan, Wei-Han, Liu, Wen-Ying, Xi, Hong-Zhou, Chen, Hua-Xing
Format: Preprint
Publié: 2025
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author Tan, Wei-Han
Liu, Wen-Ying
Xi, Hong-Zhou
Chen, Hua-Xing
author_facet Tan, Wei-Han
Liu, Wen-Ying
Xi, Hong-Zhou
Chen, Hua-Xing
contents We apply the QCD sum rule method to systematically study excited light meson operators and calculate their decay constants. These operators are constructed by explicitly adding one covariant derivative to the quark-antiquark pair. In total, twelve such operators are constructed, among which ten are subjected to detailed numerical analyses. The considered quark contents include $\bar{q}q$, $\bar{q}s$, and $\bar{s}s$ ($q = u/d$), allowing the formation of various $SU(3)$ flavor nonets. For instance, our results support the interpretation that the $a_2(1320)$, $f_2(1270)$, $f_2^\prime(1525)$, and $K_2^*(1430)$ constitute a flavor nonet with quantum numbers $J^{P(C)} = 2^{+(+)}$. In addition, we predict several excited meson states, whose masses and decay constants are determined using the QCD sum rule method.
format Preprint
id arxiv_https___arxiv_org_abs_2505_24376
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle QCD sum rule study on excited light meson operators
Tan, Wei-Han
Liu, Wen-Ying
Xi, Hong-Zhou
Chen, Hua-Xing
High Energy Physics - Phenomenology
High Energy Physics - Lattice
We apply the QCD sum rule method to systematically study excited light meson operators and calculate their decay constants. These operators are constructed by explicitly adding one covariant derivative to the quark-antiquark pair. In total, twelve such operators are constructed, among which ten are subjected to detailed numerical analyses. The considered quark contents include $\bar{q}q$, $\bar{q}s$, and $\bar{s}s$ ($q = u/d$), allowing the formation of various $SU(3)$ flavor nonets. For instance, our results support the interpretation that the $a_2(1320)$, $f_2(1270)$, $f_2^\prime(1525)$, and $K_2^*(1430)$ constitute a flavor nonet with quantum numbers $J^{P(C)} = 2^{+(+)}$. In addition, we predict several excited meson states, whose masses and decay constants are determined using the QCD sum rule method.
title QCD sum rule study on excited light meson operators
topic High Energy Physics - Phenomenology
High Energy Physics - Lattice
url https://arxiv.org/abs/2505.24376