A note on the possible bound $D^{(\ast )}{D}^{(\ast )},{\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{\bar{B}}^{(\ast )}$ states

Abstract

Motivated by the recently observation of the tetraquark $T_{cc}^{+}$ state, in this work I revisit the Heavy-Meson Effective Theory to perform a simplified field-theoretical study of possible deuteron-like $D^{(\ast )}{D}^{(\ast )},{\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{\bar{B}}^{(\ast )}$ molecules. In particular, using the data from $T_{cc}^{+}$ as input to fix the potential associated to the shallow-bound $D{D}^{\ast }$ system with $I(J^P)=1(1^{+})$, the conditions for the formation of other loosely-bound states in the doubly charmed sector are analyzed. The other sectors are also discussed.

13 pages; 3 figures

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Cited by in corpus (4)

• Molecular states of $D^{\ast }{D}^{\ast }{\bar{K}}^{\ast }$ nature
• Isospin violation effect and three-body decays of the $T_{cc}^{+}$ state
• $D^{(\ast )}{\bar{B}}^{(\ast )}$ dynamics in chiral effective field theory
• Investigating the two-pion exchange of the double charm $D{D}^{\ast }$ chiral interactions and $T_{cc}$