English

Spin content of the $\Lambda$ hyperon

High Energy Physics - Phenomenology 2008-11-26 v2

Abstract

Using the known experimental data for the hyperon semileptonic decay constants, we calculate integrated quark densities ΔqΛ\Delta q_\Lambda and % \Delta \Sigma_\Lambda for the hyperon Λ\Lambda with flavor SU(3) symmetry breaking taken into account. Symmetry breaking is implemented with the help of the chiral quark-soliton model in an approach, in which the dynamical parameters are fixed by the experimental data for six hyperon semileptonic decay constants. This parametrization allows us to reproduce the first moment of the g1p(x)g_1^{{\rm p}}(x) of the proton. For the Λ\Lambda we obtain: ΔuΛ=ΔdΛ0\Delta u_{\Lambda}=\Delta d_{\Lambda} \approx 0 and ΔsΛ\Delta s_{\Lambda} of the order of 1. Unfortunately large experimental errors of Ξ\Xi^- decays propagate in our analysis especially in the case of ΔΣΛ\Delta\Sigma_{\Lambda} and ΔsΛ\Delta s_{\Lambda}. Only if the errors for these decays are reduced, the accurate theoretical predictions for ΔΣΛ\Delta\Sigma_{\Lambda} and % \Delta s_{\Lambda} will be possible.

Keywords

Cite

@article{arxiv.hep-ph/0003076,
  title  = {Spin content of the $\Lambda$ hyperon},
  author = {Hyun-Chul Kim and Michal Praszalowicz and Klaus Goeke},
  journal= {arXiv preprint arXiv:hep-ph/0003076},
  year   = {2008}
}

Comments

14 pages. RevTeX is used. Four figures are included. A reference is added. Typos are removed