Fully charmed P-wave tetraquark resonant states in the quark model

Fuente: arXiv
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Main Authors: Wu, Wei-Lin, Zhu, Shi-Lin
Format: Preprint
Published: 2024
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author Wu, Wei-Lin
Zhu, Shi-Lin
author_facet Wu, Wei-Lin
Zhu, Shi-Lin
contents We conduct the first comprehensive P-wave four-body dynamical calculations of the fully charmed tetraquark systems within the quark potential model. We apply the Gaussian expansion method to solve the four-body Schrödinger equation, incorporating both dimeson and diquark-antidiquark spatial configurations. The matrix elements of P-wave states are calculated analytically using the infinitesimally-shifted Gaussian basis functions. With the complex scaling method, we obtain several fully charmed P-wave resonant states with compact tetraquark configuration in the mass region of $(7.0,7.2)$ GeV, including states with exotic quantum numbers $J^{PC}=0^{--},1^{-+}$. However, we find no resonant states with the mass $M<7$ GeV and width $Γ<200$ MeV. Combining the present investigation with our previous results on S-wave fully charmed tetraquark systems, we find no candidates for the experimental states $X(6400)$ and $X(6600)$ in the quark model.
format Preprint
id arxiv_https___arxiv_org_abs_2411_17962
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Fully charmed P-wave tetraquark resonant states in the quark model
Wu, Wei-Lin
Zhu, Shi-Lin
High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Lattice
Nuclear Theory
We conduct the first comprehensive P-wave four-body dynamical calculations of the fully charmed tetraquark systems within the quark potential model. We apply the Gaussian expansion method to solve the four-body Schrödinger equation, incorporating both dimeson and diquark-antidiquark spatial configurations. The matrix elements of P-wave states are calculated analytically using the infinitesimally-shifted Gaussian basis functions. With the complex scaling method, we obtain several fully charmed P-wave resonant states with compact tetraquark configuration in the mass region of $(7.0,7.2)$ GeV, including states with exotic quantum numbers $J^{PC}=0^{--},1^{-+}$. However, we find no resonant states with the mass $M<7$ GeV and width $Γ<200$ MeV. Combining the present investigation with our previous results on S-wave fully charmed tetraquark systems, we find no candidates for the experimental states $X(6400)$ and $X(6600)$ in the quark model.
title Fully charmed P-wave tetraquark resonant states in the quark model
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Lattice
Nuclear Theory
url https://arxiv.org/abs/2411.17962