Anomalous magnetic moment contributions to NN bremsstrahlung in the soft-photon approximation

Journal Article · Fri May 06 04:00:00 EDT 2005 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.1932888· OSTI ID:20718908

Gibson, B F ^[1]; Penninga, T D; Timmermans, R G.E. ^[2]; Liou, M K ^[3]

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1. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
2. Theory Group, Kernfysisch Versneller Instituut, University of Groningen, Zernikelaan 25, NL-9747 AA Groningen (Netherlands)
3. Dept. of Physics, Brooklyn College of the CUNY, Brooklyn, NY 11210 (United States)

The soft photon approximation (SPA), which is relativistic and based upon a fundamental theorem for photon emission, is applied to explore two separate nucleon-nucleon bremsstrahlung (NN{gamma}) processes: pp{gamma} and np{gamma}. They are examined together in an effort to understand the mechanism which governs photon emission from these basic two-nucleon systems. In this investigation we focus upon the effect of the anomalous magnetic moments of the proton ({kappa}p) and the neutron ({kappa}n). In our SPA calculation we use the standard Low amplitude M{sub {mu}}{sup Low} as derived by Nyman plus the more recently developed amplitude M{sub {mu}}{sup TuTts}, referred to as the two-u-two-t special (TuTts) amplitude. The amplitude M{sub {mu}}{sup TuTts} is identical to the amplitude M{sub {mu}}{sup Low} through order K0 in the soft-photon expansion. However, M{sub {mu}}{sup TuTts} includes an additional term M{sub {mu}}{sup (3)}(K{sup 1}; {kappa}) (plus higher order terms). The term M{sub {mu}}{sup (3)}(K{sup 1}; {kappa}) is of order K1 in the soft-photon expansion and it is a function of {kappa}p and {kappa}n. Using the amplitudes M{sub {mu}}{sup TuTts} and M{sub {mu}}{sup Low}, we have calculated pp{gamma} and np{gamma} cross sections as a function of photon angle {psi}{gamma} with and without contributions from {kappa}p and {kappa}n. Comparison with available pp{gamma} data has been made; in particular, the contribution from M{sub {mu}}{sup (3)}(K{sup 1}; {kappa}) has been investigated. Results will be presented and discussed which relate to the following: (i) The anomalous magnetic moment effect is significant in pp{gamma}; however, it is small in np{gamma}. That is, the two amplitudes M{sub {mu}}{sup TuTts} and M{sub {mu}}{sup Low} yield very similar np{gamma} cross sections, but they predict very different pp{gamma} cross sections. (ii) M{sub {mu}}{sup TuTts} appears to provide a better SPA than M{sub {mu}}{sup Low} in the case of pp{gamma}. Because {kappa}p terms dominate the pp{gamma} cross section, the contribution from M{sub {mu}}{sup (3)}(K{sup 1}; {kappa}) is important. Clearly, M{sub {mu}}{sup (3)}(K{sup 1}; {kappa}) makes a significant difference. (iii) The reason why M{sub {mu}}{sup TuTts} and M{sub {mu}}{sup Low} predict similar np{gamma} cross sections will be analyzed and discussed.

• OSTI ID: 20718908
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 768; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
BREMSSTRAHLUNG
COMPARATIVE EVALUATIONS
CROSS SECTIONS
NEUTRONS
NUCLEAR MAGNETIC MOMENTS
PHOTON EMISSION
PHOTON-NUCLEON INTERACTIONS
PHOTONS
PROTON-NEUTRON INTERACTIONS
PROTON-PROTON INTERACTIONS
PROTONS
RELATIVISTIC RANGE