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Singly heavy tetraquark resonant states with multiple strange quarks

Xin-He Zheng ^1,*, Yao Ma ^2,†, and Shi-Lin Zhu ^2,‡

¹School of Physics, Peking University, Beijing 100871, China
²School of Physics and Center of High Energy Physics, Peking University, Beijing 100871, China

^*Contact author: zhengxh@stu.pku.edu.cn
^†Contact author: yaoma@pku.edu.cn
^‡Contact author: zhusl@pku.edu.cn

Phys. Rev. D 113, 054027 – Published 18 March, 2026

DOI: https://doi.org/10.1103/2k7s-hm8b

Abstract

We systematically investigate the S-wave singly heavy tetraquark systems containing two or three strange quarks, $Q s \bar{s} \bar{s}$ , $Q n \bar{s} \bar{s}$ , and $Q s \bar{s} \bar{n} (Q = c, b, n = u, d)$ , within the constituent quark potential model. We solve the four-body Schrödinger equation using the Gaussian expansion method and identify resonances via the complex scaling method. There are no bound states below the lowest two-meson thresholds. We obtain several compact resonances with $J^{P} = 0^{+}, 2^{+}$ in $Q s \bar{s} \bar{s}$ , and $J^{P} = 2^{+}$ in $Q n \bar{s} \bar{s}$ and $Q s \bar{s} \bar{n}$ . The pole positions are mainly distributed around 7.0–7.2 GeV (bottom) and 3.7–3.9 GeV (charm), with widths from a few to several tens of MeV. These resonances decay into $D_{s} η^{'}, D_{(s)}^{*} ϕ, {D_{s}}^{*} K^{*}$ , and $D_{s}^{*} {\bar{K}}^{*}$ (and their bottom counterparts), providing targets for future experimental searches.

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Phys. Rev. D 113, 054027– Published 18 March, 2026

Vol. 113, Iss. 5 — 1 March 2026

Received 3 October 2025
Accepted 19 February 2026

DOI: https://doi.org/10.1103/2k7s-hm8b

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Singly heavy tetraquark resonant states with multiple strange quarks

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