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

Abstract

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 Okubo-Zweig-Iizuka (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 one-boson-exchange model, we introduce an exponential form factor instead of the commonly used monopole form factor in the past. By solving the coupled-channel Schrödinger 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. Published by the American Physical Society 2024