The $P$-wave $[cs][\bar{c}\bar{s}]$ tetraquark state: Y(4260) or Y(4660)?

TL;DR

This paper calculates the mass of a specific tetraquark state using QCD sum rules, supporting its identification with Y(4660) and predicting a similar state for bottom quarks, while challenging the Y(4260) interpretation.

Contribution

It provides the first QCD sum rule calculation of the P-wave [cs][ar{c}ar{s}] tetraquark mass, clarifying its possible experimental identification.

Findings

Mass of P-wave [cs][ar{c}ar{s}] tetraquark is 4.69±0.36 GeV.

Supports Y(4660) as P-wave [cs][ar{c}ar{s}] tetraquark.

Predicts P-wave [bs][ar{b}ar{s}] tetraquark mass at 11.19±0.49 GeV.

Abstract

The mass of $P$-wave $cs$-scalar-diquark $\bar{c}\bar{s}$-scalar-antidiquark state is computed in the framework of QCD sum rules. The result $4.69\pm0.36{GeV}$ is in good agreement with the experimental value of Y(4660) but higher than Y(4260)'s, which supports the $P$-wave $[cs][\bar{c}\bar{s}]$ configuration for Y(4660) while disfavors the interpretation of Y(4260) as the $P$-wave $[cs][\bar{c}\bar{s}]$ state. In the same picture, the mass of $P$-wave $[bs][\bar{b}\bar{s}]$ is predicted to be $11.19\pm0.49 {GeV}$.