Asymptotic Approximation for Bethe-Salpeter Equation and its Applications to Deuteron
classification
⚛️ nucl-th
keywords
equationapproximationasymptoticbethe-salpeterdeuteronamplitudeapplicationsbinding
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Bethe-Salpeter equation is solved for bound state composed of two fermions mediated by pion exchange force of the pseudovector coupling. Expanding the amplitude by gamma matrices the one-dimensional integral equation is derived. It reproduces the binding energy of deuteron. The relation with the quadrupole moment is also discussed in the framework of the asymptotic approximation.
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