dorsal/arxiv
View SchemaThe generalized Gerasimov-Drell-Hearn sum rule for deuteron electrodisintegration
| Authors | Hartmuth Arenhoevel |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0404044 |
| URL | https://arxiv.org/abs/nucl-th/0404044 |
| DOI | 10.1016/j.physletb.2004.05.055 |
| Journal | Phys.Lett. B595 (2004) 223-230 |
Abstract
The generalized Gerasimov-Drell-Hearn sum rule $I^{GDH}_{\gamma^*d}(Q^2)$ for deuteron electrodisintegration $d(e,e')np$ as function of the squared four-momentum transfer $Q^2$ is evaluated by explicit integration. The calculation is based on a conventional nonrelativistic framework using a realistic $NN$-potential and including contributions from meson exchange currents, isobar configurations and leading order relativistic terms. Good convergence is achieved. The prominent feature is a deep negative minimum, $I_{\gamma^* d}^{GDH}=-9.5$ mb, at low $Q^2\approx 0.2$ fm$^{-2}$ which is almost exclusively driven by the nucleon isovector anomalous magnetic moment contribution to the magnetic dipole transition to the $^1S_0$-state. Above $Q^2=20$ fm$^{-2}$ the integral $I^{GDH}_{\gamma^*}(Q^2)$ approaches zero rapidly.
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"abstract": "The generalized Gerasimov-Drell-Hearn sum rule $I^{GDH}_{\\gamma^*d}(Q^2)$ for\ndeuteron electrodisintegration $d(e,e\u0027)np$ as function of the squared\nfour-momentum transfer $Q^2$ is evaluated by explicit integration. The\ncalculation is based on a conventional nonrelativistic framework using a\nrealistic $NN$-potential and including contributions from meson exchange\ncurrents, isobar configurations and leading order relativistic terms. Good\nconvergence is achieved. The prominent feature is a deep negative minimum,\n$I_{\\gamma^* d}^{GDH}=-9.5$ mb, at low $Q^2\\approx 0.2$ fm$^{-2}$ which is\nalmost exclusively driven by the nucleon isovector anomalous magnetic moment\ncontribution to the magnetic dipole transition to the $^1S_0$-state. Above\n$Q^2=20$ fm$^{-2}$ the integral $I^{GDH}_{\\gamma^*}(Q^2)$ approaches zero\nrapidly.",
"arxiv_id": "nucl-th/0404044",
"authors": [
"Hartmuth Arenhoevel"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.physletb.2004.05.055",
"journal_ref": "Phys.Lett. B595 (2004) 223-230",
"title": "The generalized Gerasimov-Drell-Hearn sum rule for deuteron electrodisintegration",
"url": "https://arxiv.org/abs/nucl-th/0404044"
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