Disclosing molecular states in the decay

L. R. Dai; J. M. Dias; E. Oset

doi:10.1140/epjc/s10052-018-5702-7

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2018) 78: 210
https://doi.org/10.1140/epjc/s10052-018-5702-7

Regular Article - Theoretical Physics

Disclosing $D^\bar{D}^$ molecular states in the $B_c^- \rightarrow \pi ^- J/\psi \omega$ decay

L. R. Dai¹^,2^*, J. M. Dias²^,3 and E. Oset²

¹ Department of Physics, Liaoning Normal University, Dalian, 116029, China
² Departamento de Física Teórica and IFIC, Institutos de Investigación de Paterna, Centro Mixto Universidad de Valencia-CSIC, Apartado 22085, 46071, Valencia, Spain
³ Instituto de Física, Universidade de São Paulo, Rua do Matão, 1371 Butantã, São Paulo, São Paulo, CEP 05508-090, Brazil

^* e-mail: dailr@lnnu.edu.cn

Received: 25 January 2018
Accepted: 3 March 2018
Published online: 13 March 2018

Abstract

We study the $B_c^- \rightarrow \pi ^- J/\psi \omega$ and $B_c^- \rightarrow \pi ^- D^* \bar{D}^*$ reactions and show that they are related by the presence of two resonances, the X(3940) and X(3930), that are of molecular nature and couple most strongly to $D^* \bar{D}^*$ , but also to $J/\psi \omega$ . Because of that, in the $J/\psi \omega$ mass distribution we find a cusp with large strength at the $D^* \bar{D}^*$ threshold and predict the ratio of strengths between the peak of the cusp and the maximum of the $D^* \bar{D}^*$ distribution close to $D^* \bar{D}^*$ threshold, which are distinct features of the molecular nature of these two resonances.