Summary
The Levy-Klein method is used to calculate, for pseudoscalar coupling, the spin-orbit potential between two nucleons. The results, carried to two lowest orders in the ratio of meson to nucleon mass, indicate an attractive force for the isotopic spin triplet state and a smaller repulsive force for the singlet state. Quantitative agreement with phenomenological potentials depends, however, on the pair-suppression effects which are still uncertain.
Riassunto
Si usa il metodo di Levy-Klein per calcolare, per l’accopiamento pseudoscalare, il potenziale spin-orbita fra due nucleoni. I risultati, calcolati nei due ordini più bassi del rapporto fra la massa del mesone e quella del nucleone, indicano una forza attrattiva per lo stato di tripletto dello spin isotopico ed una minore forza repulsiva per lo stato di singoletto. L’accordo quantitativo con i potenziali fenomenologici dipende tuttavia dagli effetti della soppressione di coppie i quali sono tuttora incerti.
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Part of this work was done while the author was holding a National Research Council of Canada scholarship.
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Butkov, E. Spin-orbit potential in pseudoscalar theory. Nuovo Cim 13, 809–817 (1959). https://doi.org/10.1007/BF02726368
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DOI: https://doi.org/10.1007/BF02726368