General Solution of the Bethe-Salpeter Equation in Instantaneous Interaction Approximation
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概要
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The Bethe-Salpeter equation is solved for general values of the angular momentum, using only the ladder approximation and the instantaneous interaction approximation. It is first reduced to a set of coupled equations for the singlet and triplet amplitudes, and these are further reduced to the corresponding Schrodinger equations. The non-relativistic potentials are deduced and are found to contain automatically a "core" singularity and spin orbit coupling terms, which are necessary to account for experimental data. The coupling contant, which is the only adjustable parameter, is fitted to the deuteron binding and the potentials are compared with phenomenological potentials. Satisfactory agreement is obtained.
- 理論物理学刊行会の論文
- 1958-06-25