Research Article

Effective-Range-Expansion Study of Near Threshold Heavy-Flavor Resonances

Table 1

In the second and third columns, the masses and widths of the , , and from the PDG are given. For the , we have distinguished three different determinations: LHCb, the average without LHCb (LHCb) and the PDG average. To make a conservative error estimate, the largest error bars are taken for the asymmetric ones in the values from the LHCb and PDG. We assume that the -wave two-particle states shown in the fourth column are responsible for the resonance poles. The corresponding thresholds are also explicitly given. The elastic scattering lengths, effective ranges, and the compositeness coefficients are provided in the last three columns. Since the mass of the is below the threshold, the probabilistic interpretation of does not hold in this situation [7].

Resonance Mass Width Threshold
(MeV) (MeV) (MeV) (fm) (fm)

(3875.8)

(4017.1)

(4289.2)

(4572.9)

(LHCb) (4080.5)
(LHCb) (4080.5)
(PDG) (4080.5)