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Entanglement suppression for $ΩΩ$ scattering

Conference · · No journal information
OSTI ID:3023409
We study entanglement suppression in $$s$$-wave $ΩΩ$ 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 $ΩΩ$ scattering, only antisymmetric spin channels are allowed due to Fermi-Dirac statistics. Applying the entanglement-suppression framework to $ΩΩ$ 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.
Research Organization:
Northwestern U.; Beijing, Inst. Theor. Phys.; Argonne National Laboratory (ANL), Argonne, IL (United States); Beijing, GUCAS; Osaka U., Res. Ctr. Nucl. Phys.; Tokyo Metropolitan U.
Sponsoring Organization:
US Department of Energy
DOE Contract Number:
89243024CSC000002;
OSTI ID:
3023409
Report Number(s):
FERMILAB-CONF-26-0174-V; oai:inspirehep.net:3118103; arXiv:2602.09630
Resource Type:
Conference paper
Conference Information:
Journal Name: No journal information
Country of Publication:
United States
Language:
English

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