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Deuteron Magnetic Moment and Momentum Dependence of Two-Nucleon Potential

Deuteron Magnetic Moment and Momentum Dependence of Two-Nucleon Potential The correction to the deuteron magnetic moment μ d is calculated, in the manner pointed out by Feshbach, for the potential derived recently by Sugawara and Okubo from pion field theory. This potential includes, besides an L·S potential, a quadratic term, - V 2 ( r ) ( p 2 2 κ 2 ) + H . c . V 2 ( r ) being the second-order static potential, p and κ the nucleon (relative) momentum and rest mass, respectively. It is shown in particular that this new term gives a positive correction to μ d . Numerical magnitudes are estimated using phenomenological deuteron wave functions fitted to all known deuteron data, the hard-core radius r C and the D -state probability P D being adjustable parameters. Results are shown graphically as functions of P D for two values of r C . It is seen that the corrections depend sensitively on these two parameters. If there were no other appreciable corrections to μ d than those discussed here, p s - p s theory would lead to 6% for P D , while μ d would not be fitted in the p s - p v case as well as for the Gammel-Thaler potential, since the correction due to the quadratic term is not large enough to cancel the correction due to the L·S potential. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review American Physical Society (APS)

Deuteron Magnetic Moment and Momentum Dependence of Two-Nucleon Potential

Physical Review , Volume 117 (2) – Jan 15, 1960
2 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1960 The American Physical Society
ISSN
1536-6065
DOI
10.1103/PhysRev.117.614
Publisher site
See Article on Publisher Site

Abstract

The correction to the deuteron magnetic moment μ d is calculated, in the manner pointed out by Feshbach, for the potential derived recently by Sugawara and Okubo from pion field theory. This potential includes, besides an L·S potential, a quadratic term, - V 2 ( r ) ( p 2 2 κ 2 ) + H . c . V 2 ( r ) being the second-order static potential, p and κ the nucleon (relative) momentum and rest mass, respectively. It is shown in particular that this new term gives a positive correction to μ d . Numerical magnitudes are estimated using phenomenological deuteron wave functions fitted to all known deuteron data, the hard-core radius r C and the D -state probability P D being adjustable parameters. Results are shown graphically as functions of P D for two values of r C . It is seen that the corrections depend sensitively on these two parameters. If there were no other appreciable corrections to μ d than those discussed here, p s - p s theory would lead to 6% for P D , while μ d would not be fitted in the p s - p v case as well as for the Gammel-Thaler potential, since the correction due to the quadratic term is not large enough to cancel the correction due to the L·S potential.

Journal

Physical ReviewAmerican Physical Society (APS)

Published: Jan 15, 1960

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