Two-pole structure of the $h_1(1415)$ axial-vector meson: resolving mass discrepancy
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| Format: | Preprint |
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2024
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| author | Clymton, Samson Kim, Hyun-Chul |
| author_facet | Clymton, Samson Kim, Hyun-Chul |
| contents | We investigate isoscalar axial-vector mesons using a coupled-channel formalism. The kernel amplitudes are constructed from meson-exchange diagrams in the $t$- and $u$-channels, which are derived from effective Lagrangians based on hidden local symmetry. We incorporate six channels: $πρ$, $ηω$, $K\bar{K}^*$, $ηϕ$, $η'ω$, and $η'ϕ$, and solve the off-shell coupled integral equations. We first discuss the dynamical generation of the $h_1(1170)$. The pole diagram for $h_1(1595)$ has a certain effect on the generation of $h_1(1170)$. We observe two poles at $(1387-i6)$ MeV and $(1452-i51)$ MeV, which exhibit a two-pole structure of the $h_1(1415)$ meson. This two-pole structure may resolve the discrepancy in the experimental data on the mass of $h_1(1415)$. The results show that the lower pole couples strongly to the $K\bar{K}^*$ channel, while the higher pole couples predominantly to the $ηϕ$ channel. This provides insights into the nature of $h_1$ mesons and explains ossible discrepancies in the mass of $h_1(1415)$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_02420 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two-pole structure of the $h_1(1415)$ axial-vector meson: resolving mass discrepancy Clymton, Samson Kim, Hyun-Chul High Energy Physics - Phenomenology High Energy Physics - Experiment We investigate isoscalar axial-vector mesons using a coupled-channel formalism. The kernel amplitudes are constructed from meson-exchange diagrams in the $t$- and $u$-channels, which are derived from effective Lagrangians based on hidden local symmetry. We incorporate six channels: $πρ$, $ηω$, $K\bar{K}^*$, $ηϕ$, $η'ω$, and $η'ϕ$, and solve the off-shell coupled integral equations. We first discuss the dynamical generation of the $h_1(1170)$. The pole diagram for $h_1(1595)$ has a certain effect on the generation of $h_1(1170)$. We observe two poles at $(1387-i6)$ MeV and $(1452-i51)$ MeV, which exhibit a two-pole structure of the $h_1(1415)$ meson. This two-pole structure may resolve the discrepancy in the experimental data on the mass of $h_1(1415)$. The results show that the lower pole couples strongly to the $K\bar{K}^*$ channel, while the higher pole couples predominantly to the $ηϕ$ channel. This provides insights into the nature of $h_1$ mesons and explains ossible discrepancies in the mass of $h_1(1415)$. |
| title | Two-pole structure of the $h_1(1415)$ axial-vector meson: resolving mass discrepancy |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2409.02420 |