Sum rules for strong decays of 10 and 27 dibaryon multiplets in broken SU(3) symmetry
G. S\'anchez-Col\'on, E. N. Polanco-Eu\'an, C. E. L\'opez-Fort\'in

TL;DR
This paper derives sum rules for the strong decay amplitudes of 10 and 27 dibaryon multiplets within broken SU(3) symmetry, extending previous analyses to include symmetry violations up to first order.
Contribution
It provides new sum rules for dibaryon decay amplitudes considering first-order SU(3) symmetry breaking, enhancing understanding of dibaryon decay processes.
Findings
Sum rules for decay amplitudes of 10 and 27 dibaryons derived.
Includes SU(3) symmetry violation up to first order.
Analyzes decays into baryon octet and decuplet states.
Abstract
10 and 27 SU(3) multiplets of hexaquarks states with baryon number B=2, known as dibaryons, are considered. Previous analyses are complemented and sum rules for strong decay amplitudes with SU(3) symmetry violation up to the first order are determined for the 10 and 27 dibaryon multiplets into a baryon octet plus a baryon decuplet and for the dibaryon 27 into two baryon octets.
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