Production of $K^+K^-$ Pairs Through Decay of $ϕ$ Meson
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| Format: | Preprint |
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2025
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| _version_ | 1866914006638264320 |
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| author | Zhu, Xin-Nan Sheng, Xin-Li Hou, Defu |
| author_facet | Zhu, Xin-Nan Sheng, Xin-Li Hou, Defu |
| contents | We develop a theoretical framework for the production of $K^+K^-$ pairs through the decay of $ϕ$ mesons produced from a thermal background, based on the Nambu-Jona-Lasinio (NJL) model. The differential production rate of $K^+K^-$ is related to the self-energy of the $ϕ$ meson, incorporating the contributions of the quark loop at leading order and the kaon loop at next-to-leading order in the $1/N_c$ expansion. We numerically evaluate the invariant mass spectrum of the $K^+K^-$ pair both in vacuum and at finite temperature. The inclusion of the kaon loop results in a finite width of the spectrum, improving agreement with experimental data. We also investigate the spin alignment of the $ϕ$ meson induced by its motion relative to the thermal background. In the NJL model with only chiral condensates, we find that deviations from the unpolarized limit of 1/3 are negligible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23919 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Production of $K^+K^-$ Pairs Through Decay of $ϕ$ Meson Zhu, Xin-Nan Sheng, Xin-Li Hou, Defu High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory We develop a theoretical framework for the production of $K^+K^-$ pairs through the decay of $ϕ$ mesons produced from a thermal background, based on the Nambu-Jona-Lasinio (NJL) model. The differential production rate of $K^+K^-$ is related to the self-energy of the $ϕ$ meson, incorporating the contributions of the quark loop at leading order and the kaon loop at next-to-leading order in the $1/N_c$ expansion. We numerically evaluate the invariant mass spectrum of the $K^+K^-$ pair both in vacuum and at finite temperature. The inclusion of the kaon loop results in a finite width of the spectrum, improving agreement with experimental data. We also investigate the spin alignment of the $ϕ$ meson induced by its motion relative to the thermal background. In the NJL model with only chiral condensates, we find that deviations from the unpolarized limit of 1/3 are negligible. |
| title | Production of $K^+K^-$ Pairs Through Decay of $ϕ$ Meson |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2503.23919 |