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

Abstract

Recently, the LHCb Collaboration has measured the processes \(B^+\rightarrow D^-D_s^+\pi ^+\) and \(B^+\rightarrow \bar{D}^0D_s^+\pi ^+\), where the \(D_s^+\pi ^-\) and \(D_s^+\pi ^+\) invariant mass distributions show the significant signals of two new open-flavored 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 \(\Lambda _b\rightarrow K^0D^0\Lambda \) by taking into account the tetraquark state \(T_{c\bar{s}}(2900)^0\) and the intermediate nucleon resonance \(N^*(1535)\), which could be dynamically generated by the interactions of the \(D^*K^*/D^*_s\rho \) and the pseudoscalar meson-octet baryon, respectively. Our results show that a clear peak of the open-flavored tetraquark \(T_{c\bar{s}}(2900)\) may appear in the \(K^0D^0\) invariant mass distribution of the process \(\Lambda _b\rightarrow K^0D^0\Lambda \), which could be tested by future experiments.