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

Comments: 17 pages