English

Joint description of weak radiative and nonleptonic hyperon decays in broken SU(3)

High Energy Physics - Phenomenology 2008-11-26 v2

Abstract

We give a joint description of weak radiative (WR) and nonleptonic (NL) hyperon decays (HD) in broken SU(3). The two groups of decays are linked via SU(2)WSU(2)_W spin symmetry and vector meson dominance (VMD). We use experimental information on the parity-conserving (p.c.) NLHD amplitudes to fix the corresponding WRHD amplitudes. With the latter known, the data on the WRHD branching ratios and asymmetries permit us to determine the parity-violating (p.v.) WRHD amplitudes in terms of two parameters corresponding to the two-quark and single-quark transitions. We obtain a good description of the data, and in particular a large Σ+pγ\Sigma ^+ \to p \gamma asymmetry. Then, using the SU(2)WSU(2)_W+VMD route we determine the non-soft-meson correction term in the p.v. NLHD amplitudes. The latter is shown to subtract a substantial amount from the current-algebra commutator thus leading towards the resolution of the S:P discrepancy in NLHD.

Keywords

Cite

@article{arxiv.hep-ph/0512122,
  title  = {Joint description of weak radiative and nonleptonic hyperon decays in broken SU(3)},
  author = {P. Zenczykowski},
  journal= {arXiv preprint arXiv:hep-ph/0512122},
  year   = {2008}
}

Comments

26 pages