Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2001-12-11
Physics
Nuclear Physics
Nuclear Theory
227 pages, 35 figures, PhD thesis, advisor Gerald A. Miller
Scientific paper
Light front dynamics is a promising approach for calculating the deuteron wave function and form factors at high momentum transfers. However, in light-front dynamics rotational invariance is not manifest, which results in a splitting in the binding energies of states with different magnetic quantum numbers and a breaking of the angular condition for the matrix elements of the deuteron current operator. The objective of this work is to investigate the symptoms of broken rotational invariance. We first consider the Wick-Cutkosky model. The binding energies of states with different m values are split when calculated with the OME potential, but this splitting is reduced for all states when the TME potential is included. Next, we derive light-front nucleon-nucleon OME and TME potentials from an effective nuclear Lagrangian. We consider first the potentials generated by the exchange of pions only, then the potentials generated by all the mesons. For both models, there is a splitting in the binding energies between the m=0 and m=1 deuteron states when the OME potential is used, which is reduced when we include the TME potential. The deuteron wave functions are used to calculate the electromagnetic and axial current matrix elements and form factors. The matrix elements of the electromagnetic current operator have better transformation properties under rotations when we use the OME potential instead of the OME+TME potential to calculate the wave functions. At momentum transfers greater than about 2 GeV^2, the breaking of rotational invariance causes less uncertainty in the A and B form factors than do the uncertainties in the nucleon form factors.
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