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GENERAL SOLUTION OF THE BETHE-SALPETER EQUATION IN INSTANTANEOUS INTERACTION APPROXIMATION

Journal Article · · Progr. Theoret. Phys. (Kyoto)
DOI:https://doi.org/10.1143/PTP.19.725· OSTI ID:4304350
The Bethe-Salpeter equatton ts solved for general values of the angular momentum, ustng only the ladder approxtmation 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 constant, which is the only adjustable parameter, is fitted to the deuteron binding energy, and the potentials are compared with phenomenological potentials. Satisfactory agreement is obtained. (auth)
Research Organization:
Univ. of Adelaide
Sponsoring Organization:
USDOE
NSA Number:
NSA-13-000412
OSTI ID:
4304350
Journal Information:
Progr. Theoret. Phys. (Kyoto), Journal Name: Progr. Theoret. Phys. (Kyoto) Vol. Vol: 19
Country of Publication:
Country unknown/Code not available
Language:
English

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