Spin partners of the B(*) (B)over-bar(*) resonances with a different approach than the Breit-Wigner parameterization

In general, resonances are obtained by the Breit- Wigner parameterization. However, it is not entirely appro-priate to use this parameterization with near-threshold reso-nances such as the Z(b)(10610) and the Z(b)(10650), as Breit- Wigner does not contain the threshold effect. To eliminate this defect, a recently proposed alternative distribution, the Sill, is used to predict possible heavy quark spin symmetry partners of the Z(b)(10610) and the Z(b)(10650). With the Sill values of the Z(b)(10650) and the Z(b)(10610) states, assuming these exotics generate molecular states consisting of contact and a pion exchange potential, heavy quark spin symmetry partners are examined with S and D-wave contributions. In the light of the Sill type resonance approach, all the partners are found as bound states.

Automated summary

In general, resonances are usually characterized using the Breit-Wigner parameterization. However, this parameterization is not suitable for near-threshold resonances like the Z(b)(10610) and Z(b)(10650) due to the absence of threshold effects. To address this issue, an alternative distribution called the Sill is employed to predict possible heavy quark spin symmetry partners of the Z(b)(10610) and Z(b)(10650). Using the Sill values of these states and assuming a molecular state description with contact and pion exchange potentials, the study investigates the existence of heavy quark spin symmetry partners with S and D-wave contributions. According to the Sill resonance approach, all partners are found to be bound states.