dorsal/arxiv
View SchemaElectromagnetic Properties of the Delta(1232)
| Authors | A. J. Buchmann, E. Hernandez, Amand Faessler |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9610040 |
| URL | https://arxiv.org/abs/nucl-th/9610040 |
| DOI | 10.1103/PhysRevC.55.448 |
| Journal | Phys.Rev.C55:448-463,1997 |
Abstract
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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"abstract": "We calculate the electromagnetic moments and radii of the Delta(1232) in the\nnonrelativistic quark model, including two-body exchange currents. We show that\ntwo-body exchange currents lead to nonvanishing Delta and N--\u003eDelta transition\nquadrupole moments even if the wave functions have no D-state admixture. The\nusual explanation based on the single-quark transition model involves D-state\nadmixtures but no exchange currents. We derive a parameter- free relation\nbetween the N--\u003eDelta transition quadrupole moment and the neutron charge\nradius: Q(N--\u003eDelta) = r^2(neutron)/sqrt(2). Furthermore, we calculate the M1\nand E2 amplitudes for the process photon + N --\u003eDelta. We find that the E2\namplitude receives sizeable contributions from exchange currents. These are\nmore important than the ones which result from D-state admixtures due to tensor\nforces between quarks if a reasonable quark core radius of about 0.6 fm is\nused. We obtain a ratio of E2/M1=-3.5%.",
"arxiv_id": "nucl-th/9610040",
"authors": [
"A. J. Buchmann",
"E. Hernandez",
"Amand Faessler"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.55.448",
"journal_ref": "Phys.Rev.C55:448-463,1997",
"title": "Electromagnetic Properties of the Delta(1232)",
"url": "https://arxiv.org/abs/nucl-th/9610040"
},
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