Heavy-strange meson molecules and possible candidates <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi>D</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mn>0</mml:mn></mml:mrow><mml:mo>*</mml:mo></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mn>2317</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>2460</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>, and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>X</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>2900</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>
Shu-Yi Kong, J. Zhu, Dan Song, Jun He
Abstract
In this work, we systematically investigate the heavy-strange meson systems, ${D}^{(*)}{K}^{(*)}/{\overline{B}}^{(*)}{K}^{(*)}$ and ${\overline{D}}^{(*)}{K}^{(*)}/{B}^{(*)}{K}^{(*)}$, to study possible molecules in a quasipotenial Bethe-Salpter equation approach together with the one-boson exchange model. The potential is achieved with the help of the hidden-gauge Lagrangians. Molecular states are found from all six $S$-wave isoscalar interactions of ${D}^{(*)}{K}^{(*)}$ or ${\overline{B}}^{(*)}{K}^{(*)}$. The charmed-strange mesons ${D}_{s0}^{*}(2317)$ and ${D}_{s1}(2460)$ can be related to the $DK$ and ${D}^{*}K$ states with spin parities ${0}^{+}$ and ${1}^{+}$, respectively. In the current model, the $\overline{B}{K}^{*}$ molecular state with ${1}^{+}$ is the best candidate of the recent observed ${B}_{sJ}(6158)$. Four molecular states are produced from the interactions of ${\overline{D}}^{(*)}{K}^{(*)}$ or ${B}^{(*)}{K}^{(*)}$. The relation between the ${\overline{D}}^{*}{K}^{*}$ molecular state with ${0}^{+}$ and the ${X}_{0}(2900)$ is also discussed. No isovector molecular states are found from the interactions considered. The current results are helpful to understand the internal structure of ${D}_{s0}^{*}(2317)$, ${D}_{s1}(2460)$, ${X}_{0}(2900)$, and new ${B}_{sJ}$ states. The experimental research for more heavy-strange meson molecules is suggested.