$$Z_c(3900)$$ Z c ( 3900 ) : confronting theory and lattice simulations

Miguel Albaladejo, Pedro Fernandez-Soler, Juan Nieves
2016 European Physical Journal C: Particles and Fields  
We consider a recent T-matrix analysis by Albaladejo et al., [Phys.Lett. B 755, 337 (2016)] which accounts for the J/ψπ and D^∗D̅ coupled--channels dynamics, and that successfully describes the experimental information concerning the recently discovered Z_c(3900)^±. Within such scheme, the data can be similarly well described in two different scenarios, where the Z_c(3900) is either a resonance or a virtual state. To shed light into the nature of this state, we apply this formalism in a finite
more » ... malism in a finite box with the aim of comparing with recent Lattice QCD (LQCD) simulations. We see that the energy levels obtained for both scenarios agree well with those obtained in the single-volume LQCD simulation reported in Prelovsek et al. [Phys. Rev. D 91, 014504 (2015)], making thus difficult to disentangle between both possibilities. We also study the volume dependence of the energy levels obtained with our formalism, and suggest that LQCD simulations performed at several volumes could help in discerning the actual nature of the intriguing Z_c(3900) state.
doi:10.1140/epjc/s10052-016-4427-8 fatcat:7zodubgvz5balasipugs24rqhq