Even-wave harmonic-oscillator theory of baryonic states. IV. Structure functions versus slope of neutron charge form factor

Abstract

The structure of a mixed nucleon facilitated by the even-wave harmonic-oscillator model, which was shown to be quite successful in explaining certain important low-energy parameters such as G_A/G_V, Δ-->Nπ width, G_NNπ, and a few hitherto unresolved cases of baryon photocouplings, is employed, without extra parameters, to study the shape of the n,p structure functions as well as the neutron charge radius squared (‹r_n²›). A mixing angle close to the ideal (cotθ=√2) (determined from earlier investigations) is found to give a good account of the ratio R^np (=F₂^en/F₂^ep) except for small values of the scaling variable (z) as well as of the difference Δ^pn (=F₂^ep-F₂^en) over the entire range of z. However, the same angle (θ>0) gives the wrong sign for ‹r_n²›. The incompatibility of the sign of ‹r_n²› with the behavior of R^np, as found by A. Le Yaouanc et al., thus remains unresolved in this simplest version of the even-wave model without further assumptions.