Weak Hyperon Decays: Quark Sea and SU(3) Symmetry Breaking

Details Weak Hyperon Decays: Quark Sea and SU(3) Symmetry Breaking Weak Hyperon Decays: Quark Sea and SU(3) Symmetry Breaking

1993-10-07

arxiv.org/abs/hep-ph/9310241v1

Phys.Rev. D50 (1994) 3285-3294

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, LATEX, 1647/PH IFJ Krakow

Scientific paper

10.1103/PhysRevD.50.3285

An explanation of the difference in the values of the apparent $f/d$ ratios for the S- and P- wave amplitudes of nonleptonic hyperon decays is proposed. The argument is formulated in the framework of the standard pole model with $(56,0^{+})$ ground-state and $(70,1^{-})$ excited baryons as intermediate states for the P- and S- waves respectively. Under the assumption that the dominant part of the deviation of $(f/d)_{P-wave}$ from $-1$ is due to large quark sea effects, $SU(3)$ symmetry breaking in energy denominators is shown to lead to a prediction for $(f/d)_{S-wave}$ which is in excellent agreement with experiment. This corroborates our previous unitarity calculations which indicated that the matrix elements $$ of the parity conserving weak Hamiltonian between the ground-state baryons are characterized by $f_{0}/d_{0} \approx -1.6$ or more. A brief discussion of the problem of the relative size of S- and P- wave amplitudes is given. Finally, implications for weak radiative hyperon decays are also discussed.

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