Masses and decay widths of the S -wave ΛcΛ¯c bound states

Abstract

In this work, we investigate possible bound states of the ΛcΛ¯c system in the Bethe-Salpeter formalism in the ladder and instantaneous approximations. By numerically solving the Bethe-Salpeter equation, we confirm the existence of ΛcΛ¯c bound states with quantum numbers JPC=0−+ and JPC=1−−. We further investigate the partial decay widths of the ΛcΛ¯c bound states into NN¯, DD¯, DD¯*, D*D¯*, ππ¯, and KK¯. Our results indicate that the decay width of the ΛcΛ¯c bound state with JPC=1−− is much larger than that with JPC=0−+, and among their decay channels, the DD¯* final state is the main decay mode. We suggest experiments to search for the ΛcΛ¯c bound states in the DD¯* final state. Published by the American Physical Society 2024