$D_{s0}^*(2317)$ and $B_{s0}^*$ as molecular states
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866911919490727936 |
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| author | Kim, Hee-Jin Kim, Hyun-Chul |
| author_facet | Kim, Hee-Jin Kim, Hyun-Chul |
| contents | We investigate the dynamical generation of the $D_{s0}^*(2317)$ and $B_{s0}^*$ mesons using a meson-exchange model with a coupled-channelformalism. Our primary focus is on the $D_s^+π^0$ channel below the $DK$ threshold. First, we construct the invariant kernel amplitudes, incorporating effective Lagrangians based on heavy-quark symmetry, flavor SU(3) symmetry, and hidden local symmetry. Since the $D_{s0}^*(2317)$ state implies isospin symmetry breaking, we introduce $π^0-η$ isospin mixing. We subsequently solve the coupled-channel integral equations, which include four different channels, i.e., $D_s^+π^0$, $D^0 K^+$, $D^+ K^0$, and $D_s^+η$. We carefully analyze how the pole corresponding to the $D_{s0}^*(2317)$ state emerges from the coupled channels. Our findings reveal that the pole positions of the $D_{s0}^*(2317)$ meson are at $\sqrt{s_R}=(2317.9 - i 0.0593)$ MeV and the $\bar{B}_{s0}^*$ meson at $(5756.43-i0.0215)$ MeV, respectively. We also discuss their decay widths and destructive interference of the two sources. In conclusion, our current results provide a clear indication supporting the interpretation of the $D_{s0}^*(2317)$ meson as a $DK$ molecular state within the present coupled-channel formalism. In addition, we discuss a possible existence of $\bar{B}_{s0}^{*}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_13370 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $D_{s0}^*(2317)$ and $B_{s0}^*$ as molecular states Kim, Hee-Jin Kim, Hyun-Chul High Energy Physics - Phenomenology High Energy Physics - Experiment We investigate the dynamical generation of the $D_{s0}^*(2317)$ and $B_{s0}^*$ mesons using a meson-exchange model with a coupled-channelformalism. Our primary focus is on the $D_s^+π^0$ channel below the $DK$ threshold. First, we construct the invariant kernel amplitudes, incorporating effective Lagrangians based on heavy-quark symmetry, flavor SU(3) symmetry, and hidden local symmetry. Since the $D_{s0}^*(2317)$ state implies isospin symmetry breaking, we introduce $π^0-η$ isospin mixing. We subsequently solve the coupled-channel integral equations, which include four different channels, i.e., $D_s^+π^0$, $D^0 K^+$, $D^+ K^0$, and $D_s^+η$. We carefully analyze how the pole corresponding to the $D_{s0}^*(2317)$ state emerges from the coupled channels. Our findings reveal that the pole positions of the $D_{s0}^*(2317)$ meson are at $\sqrt{s_R}=(2317.9 - i 0.0593)$ MeV and the $\bar{B}_{s0}^*$ meson at $(5756.43-i0.0215)$ MeV, respectively. We also discuss their decay widths and destructive interference of the two sources. In conclusion, our current results provide a clear indication supporting the interpretation of the $D_{s0}^*(2317)$ meson as a $DK$ molecular state within the present coupled-channel formalism. In addition, we discuss a possible existence of $\bar{B}_{s0}^{*}$. |
| title | $D_{s0}^*(2317)$ and $B_{s0}^*$ as molecular states |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2310.13370 |