Probing the mass degeneracy of particles with different spins

Abstract

The spin is an important property of a particle. Although it is unlikely to happen, there is still a possibility that two particle with different spins share similar masses. In this paper, we propose a method to probe this kind of mass degeneracy of particles with different spins. We will use the cascade decay $B^{+}\to X(3872)K^{+}$, $X(3872)\to D^{+}{D}^{-}$ to explain our method. It can be seen that the possible mass degeneracy of $X(3872)$ can lead interesting behavior in the corresponding cascade decay.