Entanglement suppression for $\Omega\Omega$ scattering

TL;DR

This paper investigates how entanglement is suppressed in $ ext{ΩΩ}$ scattering involving spin-3/2 baryons, identifying phase shift conditions that minimize entanglement and revealing symmetries linked to these conditions.

Contribution

It introduces a framework to analyze entanglement suppression in baryon scattering and finds specific phase shift solutions corresponding to distinct symmetries.

Findings

Two phase shift solutions: one with spin SU(4) symmetry.

Another solution exhibits nonrelativistic conformal symmetry.

Entanglement suppression linked to specific spin channel structures.

Abstract

We study entanglement suppression in $s$-wave $\Omega\Omega$ scattering, where each baryon has spin $3/2$. By treating the $S$-matrix as a quantum operator acting on the spin states, we quantify its ability to generate entanglement and identify the conditions on the phase shifts of the spin channels that minimize entanglement generation in the system. In $\Omega\Omega$ scattering, only antisymmetric spin channels are allowed due to Fermi-Dirac statistics. Applying the entanglement-suppression framework to $\Omega\Omega$ scattering, we find two solutions for the phase shifts: one leading to a spin SU(4) symmetry and the other to a nonrelativistic conformal symmetry. We show that the solution associated with the nonrelativistic conformal symmetry originates from the specific structure of the Clebsch-Gordan coefficients in the $3/2 \otimes 3/2$ system.