Theoretical study of the open-flavor tetraquark $T_{c\bar{s}}(2900)$ in the process ${\Lambda }_b\to K^0{D}^0\Lambda$

Abstract

Recently, the LHCb Collaboration has measured the processes $B^0\to {\bar{D}}^0{D}_s^{+}{\pi }^{-}$ and $B^{+}\to {\bar{D}}^0{D}_s^{+}{\pi }^{+}$, where the $D_s^{+}{\pi }^{-}$ and $D_s^{+}{\pi }^{+}$ invariant mass distributions show the significant signals of two new open-flavor tetraquark states $T_{c\bar{s}}(2900{)}^0$ and $T_{c\bar{s}}(2900{)}^{++}$, as the two of the isospin triplet. In this work, we have investigated the process ${\Lambda }_b\to K^0{D}^0\Lambda$ by taking into account the intermediate nucleon resonance $N^{\ast }(1535)$ and the tetraquark state $T_{c\bar{s}}(2900{)}^0$, which could be dynamically generated by the interactions of the $D^{\ast }{K}^{\ast }/D_s^{\ast }\rho$ and the pseoduscalar mesons-octet baryons, respectively. Our results show that a clear peak of the open-flavor tetraquark $T_{c\bar{s}}(2900)$ may appear in the $K^0{D}^0$ invariant mass distribution of the process ${\Lambda }_b\to K^0{D}^0\Lambda$, which could be tested by future experiments.

Comments: 9 pages, 11 figures, 1 table