The Zb states as the mixture of the molecular and diquark-anti-diquark components within the effective field theory

In this study, we reconsider the states Zb(10610) and Zb(10650) by investigating the presence of diquark-anti-diquark components as well as the hadronic molecule components in the framework of effective field theory. The different masses of pseudoscalar mesons such as π⁰, η₈, and η₀, as well as vector mesons like ρ⁰ and ω violate the OZI rule that is well depicted under the [U(3)L⊗ U(3)R]global⊗ [U(3)V]local symmetry. To account for the contribution of intermediate bosons of heavy masses within the OBE model, we introduce an exponential form factor instead of the commonly used monopole form factor in the past. By solving the coupled-channel Schr\"{o}dinger equation with the Gaussian expansion method, our numerical results indicate that the Zb(10610) and Zb(10650) states can be explained as hadronic molecules slightly mixing with diquark-anti-diquark states.