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Hadronic molecular states from the \(K\bar{K}^{\ast}\) interaction

  • Pei-Liang Lü
  • Jun HeEmail author
Regular Article - Theoretical Physics

Abstract.

In this work, the \(K\bar{K}^{\ast}\) interaction is studied in a quasipotential Bethe-Salpeter equation approach combined with the one-boson-exchange model. With the help of the hidden-gauge Lagrangian, the exchanges of pseudoscalar mesons (\(\pi\) and \(\eta\)) and vector mesons (\(\rho\), \(\omega\) and \(\phi\)) are considered to describe the \(K\bar{K}^{\ast}\) interaction. Besides the direct vector-meson exchange which can be related to the Weinberg-Tomozawa term, pseudoscalar-meson exchanges also play important roles in the mechanism of the \(K\bar{K}^{\ast}\) interaction. The poles of scattering amplitude are searched to find the molecular states produced from the \(K\bar{K}^{\ast}\) interaction. In the case of quantum number \(I^{G}(J^{PC}) = 0^{+}(1^{++})\), a pole is found with a reasonable cutoff, which can be related to the \(f_{1}(1285)\) in experiment. Another bound state with \(0^{-}(1^{+-})\) is also produced from the \(K\bar{K}^{\ast}\) interaction, which can be related to the \(h_{1}(1380)\). In the isovector sector, the interaction is much weaker and a bound state with \(1^{+}(1^{+})\) relevant to the \(b_{1}(1235)\) is produced but at a larger cutoff. Our results suggest that in the hadronic molecular state picture the \(f_{1}(1285)\) and \(b_{1}(1235)\) are the strange partners of the X(3872) and \(Z_{c}(3900)\), respectively.

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Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Theoretical Physics Division, Institute of Modern PhysicsChinese Academy of SciencesLanzhouChina
  2. 2.Research Center for Hadron and CSR PhysicsInstitute of Modern Physics of CAS and Lanzhou UniversityLanzhouChina

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