Explanation of Y(4630) as hadronic resonant state

TL;DR

This paper proposes that Y(4630) is a D-wave resonant state of the bc_c b7 bc_c system, with theoretical calculations supporting its mass, width, and quantum numbers matching experimental data.

Contribution

It introduces a novel interpretation of Y(4630) as a D-wave bc_c b7 bc_c resonant state using the complex scaling method and one boson exchange model.

Findings

Y(4630) can be explained as a bc_c b7 bc_c D-wave resonant state.

The bc_c b7 bc_c system can form both bound and resonant states.

The bc_c b7 bc_c b3D_1 wave resonant state matches experimental observations.

Abstract

After Y(4630) is discovered, theorists have given various explanations. We find that if Y(4630) is interpreted as the D-wave resonant state of $\Lambda_c \bar {\Lambda}_c$ system, the particle mass, decay width and all quantum numbers are consistent with experimental observations. We use the Bonn approximation to get the interaction potential of one boson exchange model, then extend the complex scaling method (CSM) to calculate the bound and resonant states. The results indicate that the $\Lambda_c \bar{\Lambda}_c$ system can form not only the bound state of S wave, but also the resonant state of the high angular momentum, and the $^3D_1$ wave resonant state can explain the structure of Y(4630) very well.