From the $P^{N}_ψ$/$P^Λ_{ψs}$ to $\bar{T}^f_{cc}$: symmetry analysis to the interactions of the $(\bar{c}q)(\bar{c}q)$/$(ccq)(\bar{c}q)$/$(ccq)(ccq)$ di-hadron systems
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914854241042432 |
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| author | Chen, Kan Wang, Bo |
| author_facet | Chen, Kan Wang, Bo |
| contents | We investigate the interactions of the $(\bar{c}q)(\bar{c}q)$/$(ccq)(\bar{c}q)$/$(ccq)(ccq)$ di-hadron systems based on a contact lagrangian possessing the SU(3) flavor and SU(2) spin symmetries. Under the assumptions of two scenarios for the $J^P$ quantum numbers of the $P_ψ^N(4440)$ and $P_ψ^N(4457)$ states, we obtain the parameters ($\tilde{g}_s$, $\tilde{g}_a$) introduced from this contact lagrangian. Then we include the SU(3) breaking effect by introducing a factor $g_x$, this quantity can be further constrained by the experimental mass of the $P_{ψs}^Λ(4338)$ state. We can reproduce the mass of the $T^f_{cc}(3875)$ state with the parameters extracted from the observed $P_ψ^N$ states, this consistency indicates a unified description of the di-hadron molecular states composed of two heavy-light hadrons. With the same parameters, we discuss the possible mass spectra of the $\bar{T}_{cc}^f$/$P_{ψc}^Λ$/$H_{Ω_{ccc}c}^Λ$ systems. Then we proceed to discuss the existences of the $\bar{T}_{cc\bar{s}}^θ$/$P_{ψcs}^N$/$H_{Ω_{ccc}cs}^N$ states by investigating the SU(3) breaking effects. Our results show that the states in the $\bar{T}_{cc\bar{s}}^θ$/$P_{ψcs}^N$ systems can hardly form bound states, while the states in the $H_{Ω_{ccc}cs}^N$ system can form bound states due to their larger reduced masses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_01185 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | From the $P^{N}_ψ$/$P^Λ_{ψs}$ to $\bar{T}^f_{cc}$: symmetry analysis to the interactions of the $(\bar{c}q)(\bar{c}q)$/$(ccq)(\bar{c}q)$/$(ccq)(ccq)$ di-hadron systems Chen, Kan Wang, Bo High Energy Physics - Phenomenology High Energy Physics - Experiment We investigate the interactions of the $(\bar{c}q)(\bar{c}q)$/$(ccq)(\bar{c}q)$/$(ccq)(ccq)$ di-hadron systems based on a contact lagrangian possessing the SU(3) flavor and SU(2) spin symmetries. Under the assumptions of two scenarios for the $J^P$ quantum numbers of the $P_ψ^N(4440)$ and $P_ψ^N(4457)$ states, we obtain the parameters ($\tilde{g}_s$, $\tilde{g}_a$) introduced from this contact lagrangian. Then we include the SU(3) breaking effect by introducing a factor $g_x$, this quantity can be further constrained by the experimental mass of the $P_{ψs}^Λ(4338)$ state. We can reproduce the mass of the $T^f_{cc}(3875)$ state with the parameters extracted from the observed $P_ψ^N$ states, this consistency indicates a unified description of the di-hadron molecular states composed of two heavy-light hadrons. With the same parameters, we discuss the possible mass spectra of the $\bar{T}_{cc}^f$/$P_{ψc}^Λ$/$H_{Ω_{ccc}c}^Λ$ systems. Then we proceed to discuss the existences of the $\bar{T}_{cc\bar{s}}^θ$/$P_{ψcs}^N$/$H_{Ω_{ccc}cs}^N$ states by investigating the SU(3) breaking effects. Our results show that the states in the $\bar{T}_{cc\bar{s}}^θ$/$P_{ψcs}^N$ systems can hardly form bound states, while the states in the $H_{Ω_{ccc}cs}^N$ system can form bound states due to their larger reduced masses. |
| title | From the $P^{N}_ψ$/$P^Λ_{ψs}$ to $\bar{T}^f_{cc}$: symmetry analysis to the interactions of the $(\bar{c}q)(\bar{c}q)$/$(ccq)(\bar{c}q)$/$(ccq)(ccq)$ di-hadron systems |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2407.01185 |