Exploring Possible Triangle Singularities in the Xi(-)(b) -> K- J/psi Lambda Decay

We analyze possible singularities in the J/psi Lambda invariant mass distribution of the Xi(-)(b) -> K- J/psi Lambda process via triangle loop diagrams. Triangle singularities in the physical region are found in 18 different triangle loop diagrams. Among those with Xi*-charmonium-L intermediate states, the one from the chi(c1)Xi(2120)Lambda loop, which is located around 4628 MeV, is found the most likely to cause observable effects. One needs S- and P-waves in chi(c1)Lambda and J/psi Lambda systems, respectively, when the quantum numbers of these systems are 1/2(+) or 3/2(+). When the quantum numbers of the Xi(2120) are J(P) = 1/2(+), 1/2 or 3/2(+), the peak structure should be sharper than the other J(P) choices. This suggests that although the whole strength is unknown, we should pay attention to the contributions from the Xi*-charmonium-L triangle diagram if structures are observed in the J/psi Lambda invariant mass spectrum experimentally. In addition, a few triangle diagrams with the D*(s1) (2700) as one of the intermediate particles can also produce singularities in the J/psi Lambda distribution, but at higher energies above 4.9 GeV.