The hidden charm decay of Y(4140) by the rescattering mechanism

TL;DR

This paper investigates the hidden charm decay of Y(4140) assuming it is a second radial excitation of P-wave charmonium, using the rescattering mechanism, and finds the decay rate is too small to match some experimental indications.

Contribution

It provides a theoretical calculation of Y(4140) decay rates under specific charmonium assumptions using the rescattering mechanism, challenging previous experimental interpretations.

Findings

Branching ratio of Y(4140) to J/psi phi is very small, around 10^{-4} to 10^{-3}.

Results disfavor the interpretation of Y(4140) as a pure second radial excitation of P-wave charmonium.

Pure charmonium assignment for Y(4140) is problematic based on decay rate calculations.

Abstract

Assuming that Y(4140) is the second radial excitation of the P-wave charmonium $\chi_{cJ}^{\prime\prime}$ ($J=0, 1$), the hidden charm decay mode of Y(4140) is calculated in terms of the rescattering mechanism. Our numerical results show that the upper limit of the branching ratio of the hidden charm decay $Y(4140)\to J/\psi\phi$ is on the order of $10^{-4}\sim 10^{-3}$ for both of the charmonium assumptions for Y(4140), which disfavors the large hidden charm decay pattern indicated by the CDF experiment. It seems to reveal that the pure second radial excitation of the P-wave charmonium $\chi_{cJ}^{\prime\prime}$ ($J=0, 1$) is problematic.