The role of the pion cloud in electroproduction of the $Δ$(1232)

Details The role of the pion cloud in electroproduction of the $Δ$(1232) The role of the pion cloud in electroproduction of the $Δ$(1232)

1996-01-31

arxiv.org/abs/hep-ph/9601379v1

Phys.Lett. B373 (1996) 229-234

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages LaTeX2e, 3 LaTeX figures within the text; Requires elsart.cls (included in the self-unpacking uuencoded gzipped file)

Scientific paper

10.1016/0370-2693(96)00130-X

We calculate the ratios $E2/M1$ and $C2/M1$ of the multipole amplitudes for electroproduction of the $\Delta$(1232) in the range of photon virtuality $0<-K^2<1$~GeV$^2$ in a chiral chromodielectric model and a linear $\sigma$-model. We find that relatively large experimental values can be explained in terms of the pion contribution alone; the contribution arising from d-state quark admixture remains below 10\%. We describe the pion cloud as a coherent state and use spin and isospin projection to obtain the physical nucleon and the $\Delta$. The $A_{1/2}$ and $A_{3/2}$ amplitudes are reasonably well reproduced in the $\sigma$-model; in the chromodielectric model, however, they are a factor of two too small.

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