Triply heavy tetraquark states with different flavors

Fuente: arXiv
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Main Authors: Yang, Hui-Min, Ma, Yao, Wu, Wei-Lin, Zhu, Shi-Lin
Format: Preprint
Published: 2025
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author Yang, Hui-Min
Ma, Yao
Wu, Wei-Lin
Zhu, Shi-Lin
author_facet Yang, Hui-Min
Ma, Yao
Wu, Wei-Lin
Zhu, Shi-Lin
contents We investigate the $S$-wave triply heavy tetraquark systems, including the $QQ^{(\prime)}\bar Q^{(\prime)}\bar q$ and $QQ^{(\prime)}\bar Q^{(\prime)}\bar s$ configurations ($Q^{(\prime)} = c, b$, $q = u, d$) with spin-parity $J^P = 0^+$, $1^+$, and $2^+$, within the framework of the constituent quark model. We construct the wave functions for these systems, incorporating complete color-spin wave functions and spatial wave functions with three different Jacobi coordinate configurations. We use complex scaling and Gaussian expansion method to solve the complex-scaled four-body Schrödinger equation and obtain possible exotic states. To analyze the spatial properties of the tetraquark states, we compute the root-mean-square (rms) radii, which help distinguish between meson-molecular and compact tetraquark states. We find that there do not exist any bound states in the $QQ^{(\prime)}\bar Q^{(\prime)}\bar q$ and $QQ^{(\prime)}\bar Q^{(\prime)}\bar s$ systems. However, we identify a possible molecular resonant state $T_{3c,2}(5819)$ in the $cc\bar c\bar q$ system with spin-parity $J^P = 2^+$, which lies slightly above the $J/ψD^*(2S)$ threshold and has a large rms radius around 2.2 fm. Furthermore, we obtain a series of compact resonant states, some of which exhibit spatial structure similar to the tritium atom in QED, where the light quark circles around the cluster of three heavy quarks. The lowest resonant state in the triply heavy systems has a mass of $5634$ MeV, a width of $16$ MeV and spin-parity $J^P=1^+$. We suggest searching for this state in the $J/ψD$, $η_c D^*$, and $J/ψD^*$ decay channels.
format Preprint
id arxiv_https___arxiv_org_abs_2502_10798
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Triply heavy tetraquark states with different flavors
Yang, Hui-Min
Ma, Yao
Wu, Wei-Lin
Zhu, Shi-Lin
High Energy Physics - Phenomenology
We investigate the $S$-wave triply heavy tetraquark systems, including the $QQ^{(\prime)}\bar Q^{(\prime)}\bar q$ and $QQ^{(\prime)}\bar Q^{(\prime)}\bar s$ configurations ($Q^{(\prime)} = c, b$, $q = u, d$) with spin-parity $J^P = 0^+$, $1^+$, and $2^+$, within the framework of the constituent quark model. We construct the wave functions for these systems, incorporating complete color-spin wave functions and spatial wave functions with three different Jacobi coordinate configurations. We use complex scaling and Gaussian expansion method to solve the complex-scaled four-body Schrödinger equation and obtain possible exotic states. To analyze the spatial properties of the tetraquark states, we compute the root-mean-square (rms) radii, which help distinguish between meson-molecular and compact tetraquark states. We find that there do not exist any bound states in the $QQ^{(\prime)}\bar Q^{(\prime)}\bar q$ and $QQ^{(\prime)}\bar Q^{(\prime)}\bar s$ systems. However, we identify a possible molecular resonant state $T_{3c,2}(5819)$ in the $cc\bar c\bar q$ system with spin-parity $J^P = 2^+$, which lies slightly above the $J/ψD^*(2S)$ threshold and has a large rms radius around 2.2 fm. Furthermore, we obtain a series of compact resonant states, some of which exhibit spatial structure similar to the tritium atom in QED, where the light quark circles around the cluster of three heavy quarks. The lowest resonant state in the triply heavy systems has a mass of $5634$ MeV, a width of $16$ MeV and spin-parity $J^P=1^+$. We suggest searching for this state in the $J/ψD$, $η_c D^*$, and $J/ψD^*$ decay channels.
title Triply heavy tetraquark states with different flavors
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2502.10798