Coupled-channel <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:mtext>−</mml:mtext><mml:msubsup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup><mml:mi>ρ</mml:mi></mml:mrow></mml:math> interactions and the origin of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mover accent="true"><mml:mi>s</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>2900</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>
Man-Yu Duan, Meng-Lin Du, Zhi-Hui Guo, En Wang, Dian-Yong Chen
Abstract
Motivated by the recent observation of ${T}_{c\overline{s}0}(2900{)}^{0}$ and ${T}_{c\overline{s}0}(2900{)}^{++}$ in the ${D}_{s}\ensuremath{\pi}$ invariant mass distributions, we investigate ${D}^{*}{K}^{*}$ interactions in a coupled-channel approach. Within the hidden local symmetry formalism, a sizable attraction interaction is found in the $J=0$ isospin triplet sector that can form a bound or a virtual state, which is consistent with the experimentally observed ${T}_{c\overline{s}0}(2900)$. By reproducing a ${D}_{s}^{*}\ensuremath{\rho}\text{\ensuremath{-}}{D}^{*}{K}^{*}$ bound/virtual state with the pole mass equal to that of the ${T}_{c\overline{s}0}(2900)$ measured by LHCb in the sector $(I,J)=(1,0)$, we determine the unknown parameter in the loop function, and then search for possible poles in the sectors of $I=1$, $J=1$, 2 and $I=0$, $J=0$, 1, 2. The predicted resonances provide a useful reference for the future experimental studies of the $(C,S)=(1,1)$ systems and can be also helpful to unravel the nature of the ${T}_{c\overline{s}0}(2900)$.