Searching for signals of an exotic $I=1,J^P=2^+$ state of $D^*K^*$ nature and the structure of the $P_c(4312)$ in the $Λ_b\to Σ_c^{++} D^- K^-$ reaction

Fuente: arXiv
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Main Authors: Song, Jing, Yang, Zi-Ying, Oset, Eulogio
Format: Preprint
Published: 2024
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author Song, Jing
Yang, Zi-Ying
Oset, Eulogio
author_facet Song, Jing
Yang, Zi-Ying
Oset, Eulogio
contents This paper investigates the decay process $Λ_b \to Σ_c^{++} D^- K^-$ with the objective of finding a predicted molecular state with isospin $I=1$, $J^P=2^+$ of $D^* K^*$ nature, plus finding support for the $P_c(4312)$ state as made out of $Σ_c \bar{D}$. The mass distribution of the $D^- K^-$ system shows distinct features as a consequence of the existing of this $2^+$ state, while the $Σ_c \bar{D}$ distribution exhibits a significant peak near the threshold, much bigger than phase space expectations, which is linked to our assumed $Σ_c \bar{D}$ nature of the $P_c(4312)$ state below the $Σ_c \bar{D}$ threshold. The reaction has been measured at LHCb Collaboration, but only the branching ratio is measured. The present study shows that much valuable information can be obtained about the predicted $2^+$ $T_{c\bar{s}}(2834)$ of $D^* K^*$ nature and the $P_c(4312)$ states from the measurements of the mass distributions in this reaction, which will be accessible in the planned updates of LHCb.
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id arxiv_https___arxiv_org_abs_2411_02358
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Searching for signals of an exotic $I=1,J^P=2^+$ state of $D^*K^*$ nature and the structure of the $P_c(4312)$ in the $Λ_b\to Σ_c^{++} D^- K^-$ reaction
Song, Jing
Yang, Zi-Ying
Oset, Eulogio
High Energy Physics - Phenomenology
This paper investigates the decay process $Λ_b \to Σ_c^{++} D^- K^-$ with the objective of finding a predicted molecular state with isospin $I=1$, $J^P=2^+$ of $D^* K^*$ nature, plus finding support for the $P_c(4312)$ state as made out of $Σ_c \bar{D}$. The mass distribution of the $D^- K^-$ system shows distinct features as a consequence of the existing of this $2^+$ state, while the $Σ_c \bar{D}$ distribution exhibits a significant peak near the threshold, much bigger than phase space expectations, which is linked to our assumed $Σ_c \bar{D}$ nature of the $P_c(4312)$ state below the $Σ_c \bar{D}$ threshold. The reaction has been measured at LHCb Collaboration, but only the branching ratio is measured. The present study shows that much valuable information can be obtained about the predicted $2^+$ $T_{c\bar{s}}(2834)$ of $D^* K^*$ nature and the $P_c(4312)$ states from the measurements of the mass distributions in this reaction, which will be accessible in the planned updates of LHCb.
title Searching for signals of an exotic $I=1,J^P=2^+$ state of $D^*K^*$ nature and the structure of the $P_c(4312)$ in the $Λ_b\to Σ_c^{++} D^- K^-$ reaction
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2411.02358