Electromagnetic Properties of the Delta(1232)

Details Electromagnetic Properties of the Delta(1232) Electromagnetic Properties of the Delta(1232)

1996-10-25

arxiv.org/abs/nucl-th/9610040v1

Phys.Rev.C55:448-463,1997

Physics

Nuclear Physics

Nuclear Theory

32 pages, LaTeX, 6 Postscript figures, to appear in Physical Review C

Scientific paper

10.1103/PhysRevC.55.448

We calculate the electromagnetic moments and radii of the Delta(1232) in the nonrelativistic quark model, including two-body exchange currents. We show that two-body exchange currents lead to nonvanishing Delta and N-->Delta transition quadrupole moments even if the wave functions have no D-state admixture. The usual explanation based on the single-quark transition model involves D-state admixtures but no exchange currents. We derive a parameter- free relation between the N-->Delta transition quadrupole moment and the neutron charge radius: Q(N-->Delta) = r^2(neutron)/sqrt(2). Furthermore, we calculate the M1 and E2 amplitudes for the process photon + N -->Delta. We find that the E2 amplitude receives sizeable contributions from exchange currents. These are more important than the ones which result from D-state admixtures due to tensor forces between quarks if a reasonable quark core radius of about 0.6 fm is used. We obtain a ratio of E2/M1=-3.5%.

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