Behaviors of imitated agents in an evolutionary minority game on NW small world networks

AbstractIn this paper, we study the behaviors of imitated agents who compete for a limited resource through Evolutionary Minority Game. The agents are mapped into vertices on small world networks proposed by Newman and Watts [1] (NW small world networks). The numerical results show that the probability distribution P (p) is different for different prize-to-fine ratio R, and has a phasic evolution. The performance of the system with NW small world networks is better than that of the system with WS small world networks [2]

Y(4626) as a molecular state from interaction Ds∗Dˉs1(2536)−DsDˉs1(2536){D}^*_s\bar{D}_{s1}(2536)-{D}_s\bar{D}_{s1}(2536)

Recently, a new structure $Y(4626)$ was reported by the Belle Colloboration in the process $e^+e^-\to D_s^+D_{s1}(2536)^-$. In this work, we propose an assignment of the $Y(4626)$ as a ${D}^*_s\bar{D}_{s1}(2536)$ molecular state, which decays into the $D_s^+D_{s1}(2536)^-$ channel through a coupling between ${D}^*_s\bar{D}_{s1}(2536)$ and ${D}_s\bar{D}_{s1}(2536)$ channels. With the help of the heavy quark symmetry, the potential of the interaction ${D}^*_s\bar{D}_{s1}(2536)-{D}_s\bar{D}_{s1}(2536)$ is constructed within the one-boson-exchange model, and inserted into the quasipotential Bethe-Salpeter equation. The pole of obtained scattering amplitude is searched for in the complex plane, which corresponds to a molecular state from the interaction ${D}^*_s\bar{D}_{s1}(2536)-{D}_s\bar{D}_{s1}(2536)$. The results suggest that a pole is produced near the ${D}^*_s\bar{D}_{s1}(2536)$ threshold, which exhibits as a peak in the invariant mass spectrum of the ${D}_s\bar{D}_{s1}(2536)$ channel at about 4626 MeV. It obviously favors the $Y(4265)$ as a ${D}^*_s\bar{D}_{s1}(2536)$ molecular state. In the same model, other molecular states from the interaction ${D}^*_s\bar{D}_{s1}(2536)-{D}_s\bar{D}_{s1}(2536)$ are also predicted, which can be checked in future experiments.Comment: 7 pages, 2 figure