Doubly charmed multibaryon systems

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Regular Article - Theoretical Physics

Doubly charmed multibaryon systems H. Garcilazo1,a , A. Valcarce2,b 1 2

Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Edificio 9, 07738 Mexico, D.F., Mexico Departamento de Física Fundamental, Universidad de Salamanca, 37008 Salamanca, Spain

Received: 10 July 2020 / Accepted: 1 August 2020 © The Author(s) 2020

Abstract We study two- and three-baryon systems with two units of charm looking for possible bound states or resonances. All two-baryon interactions are consistently derived from a constituent quark model tuned in the light-flavor hadron phenomenology: spectra and interactions. The presence of the heavy quarks makes the two-body interactions simpler than in the light-flavor sector. Our results show a narrow two-body resonance with quantum numbers (I, J P ) = (0, 0+ ). It is located 6.2 MeV below the c c threshold and has a width of 4.7 MeV. The foregoing two-body state contributes to generate a N c c resonance with quantum numbers (I, J P ) = (1/2, 1/2+ ) and a separation energy of 0.2 MeV.

1 Introduction The existence of molecules made of heavy baryons is a hot topic in nowadays hadronic physics [1–7]. The observation in 2017 by the LHCb Collaboration of a doubly charmed baryon [8] increased the interest in exotic states containing pairs of charmed quarks. Right now, the LHCb Collaboration has reported two structures matching the lineshape of a resonance just above twice the J/ mass, that could originate from a hadron containing two charm quarks [9]. Although the existence of exotic structures containing pairs of heavy quarks is a long-term challenge [10], it has recently been noticed, for example in Refs. [11–13], that doubly charmed tetraquarks are the first to be at the edge of binding. On general grounds, the main motivation to wonder about the existence of heavy-baryon molecules is rooted in the reduction of the kinetic energy due to larger reduced masses. However, such molecular states could be the concatenation of several effects and not just a fairly attractive interaction. The coupling between nearby channels, conflicts between differa e-mail:

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b e-mail:

[email protected] (corresponding author)

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ent terms of the interaction, and non-central forces often play a significant role. Some of these contributions may be reinforced by the presence of heavy quarks while others may become weaker [14,15]. Behind all this there is the understanding of the hadronhadron interaction governed by the dynamics of quarks and gluons, which is a topical issue. To encourage new experiments and analysis of existing data it is essential to have detailed theoretical investigations. Despite some uncertainty in contemporary interaction models, the possible existence of bound states or resonances is a key element, because their signs might be clear enough to be identified in the experimental data [9]. Thus, it is the purpose of this work to study the possible existence of hadronic molecules or resonances in t