# Exotic doubly charmed ${D}_{s0}^{*}\left(2317\right)D$ and ${D}_{s1}^{*}\left(2460\right){D}^{*}$ molecules

Sanchez Sanchez, M. (Institut de Physique Nucléaire, CNRS-IN2P3, University Paris-Sud, Université Paris-Saclay, F-91406 Orsay Cedex, France) ; Geng, Li-Sheng (School of Physics and Nuclear Energy Engineering, International Research Center for Nuclei and Particles in the Cosmos and Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, Beijing 100191, China) ; Lu, Jun-Xu (School of Physics and Nuclear Energy Engineering, International Research Center for Nuclei and Particles in the Cosmos and Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, Beijing 100191, China) ; Hyodo, Tetsuo (Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan) ; Valderrama, M. Pavon (School of Physics and Nuclear Energy Engineering, International Research Center for Nuclei and Particles in the Cosmos and Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, Beijing 100191, China)

05 September 2018

Abstract: The ${D}_{s0}^{*}\left(2317\right)D$ and ${D}_{s1}^{*}\left(2460\right){D}^{*}$ heavy meson systems can exchange a kaon that is emitted in the S-wave due to the opposite intrinsic parity of the ${D}_{s0}^{*}\left({D}_{s1}^{*}\right)$ and $D\left({D}^{*}\right)$ mesons. As a consequence of the mass difference of the ${D}_{s0}^{*}\left({D}_{s1}^{*}\right)$ and $D\left({D}^{*}\right)$ mesons, the range of the kaon exchange potential will be significantly longer than expected, corresponding to an effective mass of about 200 MeV. The potential will be very strong: the strength of the interaction is proportional to $\left({m}_{{D}_{s0}}-{m}_{D}{\right)}^{2}/{f}_{\pi }^{2}$ and $\left({m}_{{D}_{s1}}-{m}_{{D}^{*}}{\right)}^{2}/{f}_{\pi }^{2}$. This combination of range and strength almost guarantees the existence of ${D}_{s0}^{*}\left(2317\right)D$ and ${D}_{s1}^{*}\left(2460\right){D}^{*}$ bound states with ${J}^{P}={0}^{-}$ and ${J}^{P}={0}^{-}$, ${2}^{-}$, respectively. Concrete calculations indicate a binding energy of 5–15 MeV independently of ${J}^{P}$. The ${D}_{s0}^{*}\left(2317\right)D$ and ${D}_{s1}^{*}\left(2460\right){D}^{*}$ molecules have manifestly exotic flavor quantum numbers: $C=2$, $S=1$, and $I=1/2$. We expect the existence of bottom counterparts composed of the $B{B}_{s0}$ and ${B}^{*}{B}_{s1}^{*}$ mesons, which will be more bound and have a richer spectrum that might include a shallow P-wave state and an excited S-wave state.

Published in: Physical Review D 98 (2018)