Prediction of new <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:mi>c</mml:mi></mml:mrow></mml:msub></mml:math> states of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>D</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:msup><mml:mi>D</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><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:msup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math> molecular nature
L. R. Dai, R. Molina, E. Oset
Abstract
We extend the theoretical framework used to describe the ${T}_{cc}$ state as a molecular state of ${D}^{*}D$ and make predictions for the ${D}^{*}{D}^{*}$ and ${D}_{s}^{*}{D}^{*}$ systems, finding that they lead to bound states only in the ${J}^{P}={1}^{+}$ channel. Using input needed to describe the ${T}_{cc}$ state, basically one parameter to regularize the loops of the Bethe-Salpeter equation, we find bound states with bindings of the order of MeV and similar widths for the ${D}^{*}{D}^{*}$ system, while the ${D}_{s}^{*}{D}^{*}$ system develops a strong cusp around the threshold.
Topics & Concepts
State (computer science)Cusp (singularity)Bound stateOrder (exchange)PhysicsAlgorithmCombinatoricsComputer scienceMathematicsGeometryQuantum mechanicsEconomicsFinanceQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studiesHigh-Energy Particle Collisions Research