Probing Excited $q\bar{q}$ Mesons via QCD Sum Rules
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| Format: | Preprint |
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2025
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| _version_ | 1866914579875889152 |
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| author | Li, Shuang-Hong Lai, Wei-Yang Jin, Hong-Ying |
| author_facet | Li, Shuang-Hong Lai, Wei-Yang Jin, Hong-Ying |
| contents | We present a systematic study of the masses of light excited $q\bar{q}$ mesons using QCD sum rules at next-to-leading order (NLO). To probe excited states, we construct several interpolating currents with covariant derivatives inserted. The calculation is carried out up to dimension-8 condensates, including NLO perturbative and $m\langle\bar{q}q\rangle$ corrections. Employing Gaussian sum rules, we obtain several $J^P=2^\pm$ nonets with masses that agree well with experiments. Several $J=0,1$ states compatible with experiments are also obtained using both Gaussian and Laplace sum rules. In particular, the $J^{PC}=2^{++}$ current couples to two distinct $2^{++}$ resonances. This work demonstrates the efficacy of operators with covariant derivatives for studying excited hadrons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16637 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Probing Excited $q\bar{q}$ Mesons via QCD Sum Rules Li, Shuang-Hong Lai, Wei-Yang Jin, Hong-Ying High Energy Physics - Phenomenology We present a systematic study of the masses of light excited $q\bar{q}$ mesons using QCD sum rules at next-to-leading order (NLO). To probe excited states, we construct several interpolating currents with covariant derivatives inserted. The calculation is carried out up to dimension-8 condensates, including NLO perturbative and $m\langle\bar{q}q\rangle$ corrections. Employing Gaussian sum rules, we obtain several $J^P=2^\pm$ nonets with masses that agree well with experiments. Several $J=0,1$ states compatible with experiments are also obtained using both Gaussian and Laplace sum rules. In particular, the $J^{PC}=2^{++}$ current couples to two distinct $2^{++}$ resonances. This work demonstrates the efficacy of operators with covariant derivatives for studying excited hadrons. |
| title | Probing Excited $q\bar{q}$ Mesons via QCD Sum Rules |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2512.16637 |