Shedding light on the X(3930) and X(3960) states with the reaction

L. M. Abreu; M. Albaladejo; A. Feijoo; E. Oset; J. Nieves

doi:10.1140/epjc/s10052-023-11467-1

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 309
https://doi.org/10.1140/epjc/s10052-023-11467-1

Regular Article - Theoretical Physics

Shedding light on the X(3930) and X(3960) states with the $B^{-} \to K^{-} J / ψ ω$ $B^- \rightarrow K^- J/\psi \omega$ reaction

L. M. Abreu¹^,2^a, M. Albaladejo², A. Feijoo², E. Oset³^,4 and J. Nieves²

¹ Instituto de Física, Universidade Federal da Bahia, Campus Universitário de Ondina, 40170-115, Bahia, Brazil
² Instituto de Física Corpuscular, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, Aptdo. 22085, 46071, Valencia, Spain
³ Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, Aptdo. 22085, 46071, Valencia, Spain
⁴ Department of Physics, Guangxi Normal University, 541004, Guilin, China

^a luciano.abreu@ufba.br

Received: 2 March 2023
Accepted: 31 March 2023
Published online: 20 April 2023

Abstract

We have studied the contribution of the state X(3930), coming from the interaction of the $D \bar{D}$ $D \overline{D}$ and $D_{s}^{+} D_{s}^{-}$ $D^{+}_s D^{-}_s$ channels, to the $B^{-} \to K^{-} J / ψ ω$ $B^- \rightarrow K^- J/\psi \omega$ decay. The purpose of this work is to offer a complementary tool to see if the X(3930) state observed in the $D^{+} D^{-}$ $$D^+ D^-$$ channel is the same or not as the X(3960) resonance claimed by the LHCb Collaboration from a peak in the $D_{s}^{+} D_{s}^{-}$ $D^{+}_s D^{-}_s$ mass distribution around threshold. We present results for what we expect in the $J / ψ ω$ $J/\psi \omega$ mass distribution in the $B^{-} \to K^{-} J / ψ ω$ $B^- \rightarrow K^- J/\psi \omega$ decay and conclude that a clear signal should be seen around $3930 MeV$ $3930\,\text {MeV}$ . At the same time, finding no extra resonance signal at $3960 MeV$ $3960\,\text {MeV}$ would be a clear indication that there is not a new state at $3960 MeV$ $3960\,\text {MeV}$ , supporting the hypothesis that the near-threshold peaking structure peak in the $D_{s}^{+} D_{s}^{-}$ $D^{+}_s D^{-}_s$ mass distribution is only a manifestation of a resonance below threshold.

© The Author(s) 2023

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