English

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

High Energy Physics - Phenomenology 2009-10-22 v1

Abstract

An explanation of the difference in the values of the apparent f/df/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+)(56,0^{+}) ground-state and (70,1)(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)Pwave(f/d)_{P-wave} from 1-1 is due to large quark sea effects, SU(3)SU(3) symmetry breaking in energy denominators is shown to lead to a prediction for (f/d)Swave(f/d)_{S-wave} which is in excellent agreement with experiment. This corroborates our previous unitarity calculations which indicated that the matrix elements <BHweakp.c.B><B|H^{p.c.}_{weak}|B'> of the parity conserving weak Hamiltonian between the ground-state baryons are characterized by f0/d01.6f_{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.

Keywords

Cite

@article{arxiv.hep-ph/9310241,
  title  = {Weak Hyperon Decays: Quark Sea and SU(3) Symmetry Breaking},
  author = {P. Zenczykowski},
  journal= {arXiv preprint arXiv:hep-ph/9310241},
  year   = {2009}
}

Comments

26 pages, LATEX, 1647/PH IFJ Krakow