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Theoretical description of the decays ΛbΛ(*)(12±,32±)+J/ψ

Thomas Gutsche1, Mikhail A. Ivanov2, Jürgen G. Körner3, Valery E. Lyubovitskij1,4,5,6, Vladimir V. Lyubushkin7, and Pietro Santorelli8,9

  • 1Institut für Theoretische Physik, Universität Tübingen, Kepler Center for Astro and Particle Physics, Auf der Morgenstelle 14, D-72076 Tübingen, Germany
  • 2Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia
  • 3PRISMA Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universität, D-55099 Mainz, Germany
  • 4Departamento de Física y Centro Científico Tecnológico de Valparaíso (CCTVal), Universidad Técnica Federico Santa María, Casilla 110-V Valparaíso, Chile
  • 5Department of Physics, Tomsk State University, 634050 Tomsk, Russia
  • 6Laboratory of Particle Physics, Mathematical Physics Department, Tomsk Polytechnic University, 634050 Tomsk, Russia
  • 7Dzhelepov Laboratory of Nuclear Problems, Joint Institute for Nuclear Research, 141980 Dubna, Russia
  • 8Dipartimento di Fisica, Università di Napoli Federico II, Complesso Universitario di Monte S. Angelo, Via Cintia, Edificio 6, 80126 Napoli, Italy
  • 9Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, 80126 Napoli, Italy

Phys. Rev. D 96, 013003 – Published 13 July, 2017

DOI: https://doi.org/10.1103/PhysRevD.96.013003

Abstract

We calculate the invariant and helicity amplitudes for the transitions ΛbΛ(*)(JP)+J/ψ, where the Λ(*)(JP) are Λ(sud)-type ground and excited states with JP quantum numbers JP=12±, 32±. The calculations are performed in the framework of a covariant confined quark model previously developed by us. We find that the values of the helicity amplitudes for the Λ*(1520,32) and the Λ*(1890,32+) are suppressed compared with those for the ground state Λ(1116,12+) and the excited state Λ*(1405,12). This analysis is important for the identification of the hidden charm pentaquark states Pc+(4380) and Pc+(4450) which were discovered in the decay chain Λb0Pc+(pJ/ψ)+K because the cascade decay chain ΛbΛ*(32±)(pK)+J/ψ involves the same final state.

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