
Accession Number : AD0621099
Title : RELATIVISTIC CALCULATION OF THE DEUTERON ELECTROMAGNETIC FORM FACTOR. II,
Corporate Author : FLOYD NEWMAN LAB OF NUCLEAR STUDIES CORNELL UNIV ITHACA N Y
Personal Author(s) : Gross,Franz
Report Date : 25 MAY 1964
Pagination or Media Count : 22
Abstract : The deuteron form factor is calculated in a onepionexchange (OPE) approximation using singlevariable unsubtracted dispersion relations in the squaredmomentumtransfer variable. As a first step, the imaginary parts of the form factors are presented in terms of the four invariants of the deuteronnucleon (dN) vertex. The resulting equations are compared in detail with similar expressions obtained from the Jankus potential theory, and a clear understanding of the precise way in which the dN invariants play the role of the deuteron wave function emerges, enabling us to obtain relativistic wave functions. This comparison also shows the presence of new relativistic terms not included in the Jankus results (in particular, a new term appears in the magnetic moment). Then, the imaginary parts of the dN vertex invariants are calculated numerically. In this calculation the OPE contribution in its anamalous region is calculated exactly, while the contributions above the normal threshold are obtained by an educated guess based on sum rules which the invariants are assumed to satisfy. Finally, using these results, the form factors are calculated numerically. With the assumption of unsubtracted dispersion relations, it is necessary to assume only the charge and mass of the deuteron, and the pionnucleon coupling constant, in order to completely determine the form factors. The numerical results for the magnetic and quadrupole moments agree with experiment to within 2%; the Dstate probability if 5.5% but is not very reliably determined, and the other results, while less good, are still quite reasonable. (Author)
Descriptors : (*DEUTERON REACTIONS, RELATIVITY THEORY), ELECTROMAGNETIC PROPERTIES, POTENTIAL THEORY, MESON REACTIONS, PIONS, QUANTUM THEORY, NUCLEAR MAGNETIC MOMENTS, PROBABILITY
Distribution Statement : APPROVED FOR PUBLIC RELEASE