Effects of closely spaced thresholds on line shapes with near-threshold enhancement
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913877442166784 |
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| author | Carpio, Exan John D. F. Sombillo, Denny Lane B. |
| author_facet | Carpio, Exan John D. F. Sombillo, Denny Lane B. |
| contents | Hidden-charm pentaquarks were first experimentally detected by LHCb in 2019, one of which is the exotic $P_{c\bar{c}}(4312)^{+}$ state. The nature of this state remains uncertain which may be attributed to the proximity of this observed enhancement to the meson-baryon thresholds. In this study, we introduce a coupled-channel approach using three-channel separable potential model to account for near-threshold effects on the observed signal. In particular, we assign $Σ_c^+\bar{D}^0$ and $Σ_c^{++}D^-$ as higher-mass channels for $P_{c \bar{c}}(4312)^+$ state. Moreover, this allows us to propose four pole configurations, where either a bound state or virtual state pole were placed near the higher-mass thresholds. Using this scheme, we study the near-threshold effects on the transition of different pole configurations across the unphysical Riemann sheets and examine their effects on the amplitude line shape. We found out that $P_{c \bar{c}}(4312)^+$ state may be interpreted as a virtual state below the $Σ_c^+\bar{D}^0$ which is consistent with our initial modeling assumptions. Our result also conforms with the previous analysis done by Joint Physics Analysis Center (JPAC) \cite{Fernandez-Ramirez:2019koa}, which leans toward similar interpretation. This may indicate that a model-dependent framework employing a relatively simple model, such as a separable potential, can somehow complement with some of the widely used parameterizations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_04630 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effects of closely spaced thresholds on line shapes with near-threshold enhancement Carpio, Exan John D. F. Sombillo, Denny Lane B. High Energy Physics - Phenomenology Hidden-charm pentaquarks were first experimentally detected by LHCb in 2019, one of which is the exotic $P_{c\bar{c}}(4312)^{+}$ state. The nature of this state remains uncertain which may be attributed to the proximity of this observed enhancement to the meson-baryon thresholds. In this study, we introduce a coupled-channel approach using three-channel separable potential model to account for near-threshold effects on the observed signal. In particular, we assign $Σ_c^+\bar{D}^0$ and $Σ_c^{++}D^-$ as higher-mass channels for $P_{c \bar{c}}(4312)^+$ state. Moreover, this allows us to propose four pole configurations, where either a bound state or virtual state pole were placed near the higher-mass thresholds. Using this scheme, we study the near-threshold effects on the transition of different pole configurations across the unphysical Riemann sheets and examine their effects on the amplitude line shape. We found out that $P_{c \bar{c}}(4312)^+$ state may be interpreted as a virtual state below the $Σ_c^+\bar{D}^0$ which is consistent with our initial modeling assumptions. Our result also conforms with the previous analysis done by Joint Physics Analysis Center (JPAC) \cite{Fernandez-Ramirez:2019koa}, which leans toward similar interpretation. This may indicate that a model-dependent framework employing a relatively simple model, such as a separable potential, can somehow complement with some of the widely used parameterizations. |
| title | Effects of closely spaced thresholds on line shapes with near-threshold enhancement |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2506.04630 |