Systematics of the heavy flavor hadronic molecules

Kan Chen; Rui Chen; Lu Meng; Bo Wang; Shi-Lin Zhu

doi:10.1140/epjc/s10052-022-10540-5

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 581
https://doi.org/10.1140/epjc/s10052-022-10540-5

Regular Article - Theoretical Physics

Systematics of the heavy flavor hadronic molecules

Kan Chen¹^a, Rui Chen², Lu Meng³, Bo Wang⁴^,5 and Shi-Lin Zhu¹

¹ School of Physics and Center of High Energy Physics, Peking University, 100871, Beijing, China
² Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, 410081, Changsha, China
³ Institut für Theoretische Physik II, Ruhr-Universität Bochum, 44780, Bochum, Germany
⁴ School of Physical Science and Technology, Hebei University, 071002, Baoding, China
⁵ Key Laboratory of High-precision Computation and Application of Quantum Field Theory of Hebei Province, 071002, Baoding, China

^a chenk_10@pku.edu.cn

Received: 25 May 2022
Accepted: 17 June 2022
Published online: 4 July 2022

Abstract

With a quark level interaction, we give a unified description of the loosely bound molecular systems composed of the heavy flavor hadrons $(\bar{D}, {\bar{D}}^{*})$ $({\bar{D}},{\bar{D}}^*)$ , $(Λ_{c}, Σ_{c}, Σ_{c}^{*})$ $(\Lambda _c, \Sigma _c, \Sigma _c^*)$ , and $(Ξ_{c}, Ξ_{c}^{'}, Ξ_{c}^{*})$ $(\Xi _c, \Xi _c^\prime ,\Xi _c^*)$ . Using the $P_{c}$ $$P_c$$ states as inputs to fix the interaction strength of light quark-quark pairs, we reproduce the observed $P_{cs}$ $P_{cs}$ and $T_{cc}^{+}$ $T_{cc}^+$ states and predict another narrow $T_{cc}^{' +}$ $T_{cc}^{\prime +}$ state with quantum numbers ${[D^{*} D^{*}]}_{J = 1}^{I = 0}$ $[D^*D^*]_{J=1}^{I=0}$ . If we require a satisfactory description of the $T_{cc}^{+}$ $T_{cc}^+$ and $P_{c}$ $$P_c$$ states simultaneously, our framework prefers the assignments of the $P_{c} (4440)$ $P_{c}(4440)$ and $P_{c} (4457)$ $P_{c}(4457)$ as the ${[Σ_{c} {\bar{D}}^{*}]}_{J = 1 / 2}^{I = 1 / 2}$ $[\Sigma _c{\bar{D}}^*]_{J=1/2}^{I=1/2}$ and ${[Σ_{c} {\bar{D}}^{*}]}_{J = 3 / 2}^{I = 1 / 2}$ $[\Sigma _c{\bar{D}}^*]_{J=3/2}^{I=1/2}$ states, respectively. We propose the isospin criterion to explain naturally why the experimentally observed $T_{cc}$ $T_{cc}$ , $P_{c}$ $$P_c$$ , and $P_{cs}$ $P_{cs}$ molecular candidates prefer the lowest isospin numbers. We also predict the loosely bound states for the bottom di-hadrons.

© The Author(s) 2022

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