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

Abstract

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.