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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2410.18589 |
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| _version_ | 1866917920674676736 |
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| author | Kim, Hungchong Kim, K. S. |
| author_facet | Kim, Hungchong Kim, K. S. |
| contents | There are three scalar nonets in the Particle Data Group (PDG), one of which includes [$a_0(980), K_0^*(700)$], another includes [$a_0(1450), K_0^*(1430)$], and the third includes [$a_0(1710), K_0^*(1950)$]. Motivated by Ref.[1], we examine an alternative mixing mechanism that could potentially explain the small mass difference between the $a_0 (1450)$ and $K_0^* (1430)$. According to the tetraquark mixing model, two types, distinguished by their color-spin structures, are necessary to describe the tetraquark structure of the two nonets containing [$a_0(980), K_0^*(700)$] and [$a_0(1450), K_0^*(1430)$]. Considering the color-spin structures, we argue that the mixing mechanism generating $a_0(1450)$ and $K_0^* (1430)$ on the one hand, and $a_0(1710)$ and $K_0^* (1950)$ on the other hand might be relevant for resolving the small mass difference. We also discuss the limitations of other mixing mechanisms that generate the two nonets involving [$a_0(980),K_0^*(700)$] and [$a_0(1450)$, $K_0^* (1430)$] or [$a_0(980),K_0^*(700)$] and [$a_0(1710)$, $K_0^* (1950)$] |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18589 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mixing mechanism for the $J^{P}=0^{+}$ mesons Kim, Hungchong Kim, K. S. High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory There are three scalar nonets in the Particle Data Group (PDG), one of which includes [$a_0(980), K_0^*(700)$], another includes [$a_0(1450), K_0^*(1430)$], and the third includes [$a_0(1710), K_0^*(1950)$]. Motivated by Ref.[1], we examine an alternative mixing mechanism that could potentially explain the small mass difference between the $a_0 (1450)$ and $K_0^* (1430)$. According to the tetraquark mixing model, two types, distinguished by their color-spin structures, are necessary to describe the tetraquark structure of the two nonets containing [$a_0(980), K_0^*(700)$] and [$a_0(1450), K_0^*(1430)$]. Considering the color-spin structures, we argue that the mixing mechanism generating $a_0(1450)$ and $K_0^* (1430)$ on the one hand, and $a_0(1710)$ and $K_0^* (1950)$ on the other hand might be relevant for resolving the small mass difference. We also discuss the limitations of other mixing mechanisms that generate the two nonets involving [$a_0(980),K_0^*(700)$] and [$a_0(1450)$, $K_0^* (1430)$] or [$a_0(980),K_0^*(700)$] and [$a_0(1710)$, $K_0^* (1950)$] |
| title | Mixing mechanism for the $J^{P}=0^{+}$ mesons |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2410.18589 |