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20 April 2024
 
  » arxiv » nucl-th/9610028

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Dirac-Foldy term and the electromagnetic polarizability of the neutron
M. Bawin ; S. A. Coon ;
Date 18 Oct 1996
Journal Phys.Rev. C55 (1997) 419-423
Subject nucl-th hep-ph
AffiliationUniversite de Liege) and S. A. Coon (New Mexico State University
AbstractWe 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 ($ar{alpha}$), classical static ($alpha^n_E$), and Schrödinger ($alpha_{Sch}$) 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 Schrödinger equation. We find in particular $alpha_{Sch} = ar{alpha} - mu^2/m$ , 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 $alpha^n_E$.
Source arXiv, nucl-th/9610028
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