Spin and polarization analysis of $Z_{cs}$ state

TL;DR

This paper analyzes the polarization and spin properties of the recently observed $Z_{cs}$ exotic state in electron-positron collisions, proposing methods to determine its spin and parity quantum numbers through angular distributions and Monte Carlo simulations.

Contribution

It introduces a polarization analysis framework for the $Z_{cs}$ state and suggests observables for identifying its spin and parity quantum numbers.

Findings

Polarization transfer patterns depend on $Z_{cs}$ spin scenarios.

Angular distribution observables can distinguish different spin-parity assignments.

Monte Carlo simulations demonstrate the feasibility of these measurements.

Abstract

A polarization analysis is performed for the recent observation of $Z_{cs}$ exotic state in the $e^+e^-$ annihilation experiment with motivation for measuring its spin quantum number in the future. Starting with the unpolarized electron and positron beam, the polarization transfer to the $Z_{cs}$ state and its decay angular distribution patterns are investigated. Some observables are suggested for determination of the spin parity quantum numbers. An ensemble of Monte-Carlo events are used to show some moment distributions special for manifestation of the different $Z_{cs}$ spin scenarios.