dorsal/arxiv
View SchemaDirac-Foldy term and the electromagnetic polarizability of the neutron
| Authors | M. Bawin, S. A. Coon |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9610028 |
| URL | https://arxiv.org/abs/nucl-th/9610028 |
| DOI | 10.1103/PhysRevC.55.419 |
| Journal | Phys.Rev.C55:419-423,1997 |
Abstract
We reconsider the Dirac-Foldy contribution $\mu^2/m$ to the neutron electric polarizability. Using a Dirac equation approach to neutron-nucleus scattering, we review the definitions of Compton continuum ($\bar{\alpha}$), classical static ($\alpha^n_E$), and Schr\"{o}dinger ($\alpha_{Sch}$) polarizabilities and discuss in some detail their relationship. The latter $\alpha_{Sch}$ is the value of the neutron electric polarizability as obtained from an analysis using the Schr\"{o}dinger equation. We find in particular $\alpha_{Sch} = \bar{\alpha} - \mu^2/m$ , where $\mu$ is the magnitude of the magnetic moment of a neutron of mass $m$. However, we argue that the static polarizability $\alpha^n_E$ is correctly defined in the rest frame of the particle, leading to the conclusion that twice the Dirac-Foldy contribution should be added to $\alpha_{Sch}$ to obtain the static polarizability $\alpha^n_E$.
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"abstract": "We reconsider the Dirac-Foldy contribution $\\mu^2/m$ to the neutron electric\npolarizability. Using a Dirac equation approach to neutron-nucleus scattering,\nwe review the definitions of Compton continuum ($\\bar{\\alpha}$), classical\nstatic ($\\alpha^n_E$), and Schr\\\"{o}dinger ($\\alpha_{Sch}$) polarizabilities\nand discuss in some detail their relationship. The latter $\\alpha_{Sch}$ is the\nvalue of the neutron electric polarizability as obtained from an analysis using\nthe Schr\\\"{o}dinger equation. We find in particular $\\alpha_{Sch} =\n\\bar{\\alpha} - \\mu^2/m$ , where $\\mu$ is the magnitude of the magnetic moment\nof a neutron of mass $m$. However, we argue that the static polarizability\n$\\alpha^n_E$ is correctly defined in the rest frame of the particle, leading to\nthe conclusion that twice the Dirac-Foldy contribution should be added to\n$\\alpha_{Sch}$ to obtain the static polarizability $\\alpha^n_E$.",
"arxiv_id": "nucl-th/9610028",
"authors": [
"M. Bawin",
"S. A. Coon"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.55.419",
"journal_ref": "Phys.Rev.C55:419-423,1997",
"title": "Dirac-Foldy term and the electromagnetic polarizability of the neutron",
"url": "https://arxiv.org/abs/nucl-th/9610028"
},
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