Fully-strange tetraquark states with the exotic quantum numbers $J^{PC} = 0^{+-}$ and $2^{+-}$
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866910307173007360 |
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| author | Xi, Hong-Zhou Jiang, Yi-Wei Chen, Hua-Xing Hosaka, Atsushi Su, Niu |
| author_facet | Xi, Hong-Zhou Jiang, Yi-Wei Chen, Hua-Xing Hosaka, Atsushi Su, Niu |
| contents | We study the fully-strange tetraquark states with the exotic quantum numbers $J^{PC} = 0^{+-}$ and $2^{+-}$. We construct their corresponding diquark-antidiquark interpolating currents, and apply the QCD sum rule method to calculate both their diagonal and off-diagonal correlation functions. The obtained results are used to construct some mixing currents that are nearly non-correlated, from which we extract the masses of the lowest-lying states to be $M_{0^{+-}} = 2.45^{+0.33}_{-0.44}$ GeV and $M_{2^{+-}} = 3.07^{+0.25}_{-0.33}$ GeV. We apply the Fierz rearrangement to transform the diquark-antidiquark currents to be the combinations of meson-meson currents, and the obtained Fierz identities indicate that these two states may be searched for in the $P$-wave $ϕ(1020) f_0(1710)/ϕ(1020) f_2^\prime(1525) (\to ϕK \bar K / ϕππ)$ channels. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2307_07819 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fully-strange tetraquark states with the exotic quantum numbers $J^{PC} = 0^{+-}$ and $2^{+-}$ Xi, Hong-Zhou Jiang, Yi-Wei Chen, Hua-Xing Hosaka, Atsushi Su, Niu High Energy Physics - Phenomenology We study the fully-strange tetraquark states with the exotic quantum numbers $J^{PC} = 0^{+-}$ and $2^{+-}$. We construct their corresponding diquark-antidiquark interpolating currents, and apply the QCD sum rule method to calculate both their diagonal and off-diagonal correlation functions. The obtained results are used to construct some mixing currents that are nearly non-correlated, from which we extract the masses of the lowest-lying states to be $M_{0^{+-}} = 2.45^{+0.33}_{-0.44}$ GeV and $M_{2^{+-}} = 3.07^{+0.25}_{-0.33}$ GeV. We apply the Fierz rearrangement to transform the diquark-antidiquark currents to be the combinations of meson-meson currents, and the obtained Fierz identities indicate that these two states may be searched for in the $P$-wave $ϕ(1020) f_0(1710)/ϕ(1020) f_2^\prime(1525) (\to ϕK \bar K / ϕππ)$ channels. |
| title | Fully-strange tetraquark states with the exotic quantum numbers $J^{PC} = 0^{+-}$ and $2^{+-}$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2307.07819 |