scholarly journals Relativistic corrections of one-nucleon current in low-energy three-nucleon photonuclear reactions

2009 ◽  
Vol 80 (6) ◽  
Author(s):  
A. Deltuva ◽  
A. C. Fonseca ◽  
P. U. Sauer
Keyword(s):  
Low Energy ◽  
Photonuclear Reactions ◽  
Relativistic Corrections ◽  
Nucleon Current

scholarly journals NONRELATIVISTIC LIMIT OF THE SCALAR CHERN–SIMONS THEORY AND THE AHARONOV–BOHM SCATTERING

1998 ◽  
Vol 13 (18) ◽  
pp. 3157-3180 ◽  
Author(s):  
M. GOMES ◽  
A. J. DA SILVA ◽  
J. M. C. MALBOUISSON
Keyword(s):  
Scattering Amplitude ◽  
Critical Value ◽  
Nonrelativistic Limit ◽  
Low Energy ◽  
Simons Theory ◽  
Relativistic Model ◽  
Relativistic Corrections ◽  
Aharonov Bohm ◽  
Chern Simons ◽  
Chern Simons Theory

We study the nonrelativistic limit of the quantum theory of a Chern–Simons field minimally coupled to a scalar field with quartic self-interaction. The renormalization of the relativistic model, in the Coulomb gauge, is discussed. We employ a procedure to calculate scattering amplitudes for low momenta that generates their |p|/m expansion and separates the contributions coming from high and low energy intermediary states. The two-body scattering amplitude is calculated up to order p2/m2. It is shown that the existence of a critical value of the self-interaction parameter for which the two-particle scattering amplitude reduces to the Aharonov–Bohm one is a strictly nonrelativistic feature. The subdominant terms correspond to relativistic corrections to the Aharonov–Bohm scattering. A nonrelativistic reduction scheme and an effective nonrelativistic Lagrangian to account for the relativistic corrections are proposed.

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