Strangeness spin, magnetic moment, and strangeness configurations of the proton

Abstract

The implications of the empirical signatures for the positivity of the strangeness magnetic moment ${\ensuremath{\mu}}_{s}$ and the negativity of the strangeness contribution to the proton spin ${\ensuremath{\Delta}}_{s}$ on the possible $\mathit{uuds}\overline{s}$ configurations of five quarks in the proton are analyzed. The empirical signs for the values for these two observables can only be obtained in configurations where the uuds subsystem is orbitally excited and the $\overline{s}$ antiquark is in the ground state. The configurations in which the $\overline{s}$ is orbitally excited, including the conventional ${K}^{+}{\ensuremath{\Lambda}}^{0}$ configuration, with the exception of that in which the uuds component has spin 2, yield negative values for ${\ensuremath{\mu}}_{s}$. Here, the strangeness spin ${\ensuremath{\Delta}}_{s}$, strangeness magnetic moment ${\ensuremath{\mu}}_{s}$, and axial coupling constant ${G}_{A}^{s}$ are calculated for all possible configurations of the $\mathit{uuds}\overline{s}$ component of the proton. In the configuration with $[4]{}_{\mathit{FS}}[22]{}_{F}[22]{}_{S}$ flavor-spin symmetry, which is likely to have the lowest energy, ${\ensuremath{\mu}}_{s}$ is positive and ${\ensuremath{\Delta}}_{s}\ensuremath{\simeq}{G}_{A}^{s}\ensuremath{\simeq}\ensuremath{-}1/3{\ensuremath{\mu}}_{s}$.