Summary
In a previous paper the Lee model with cut-off has been applied to the normal state of the deuteron; in the present paper this same model is applied to the virtual (singlet) state. For this case it is found that the poles of the n-p scattering amplitude all occur on the unphysical sheet. The chief contribution to the amplitude at low energies arises from a pole on the real axis at 66 keV below threshold ; the position of this pole is interpreted as the « mass » of the virtual deuteron.
Riassunto
In un lavoro precedente si era applicato allo stato normale del deutone il modello di Lee con cut-off; in questo si applica il medesimo modello allo stato virtuale (singoletto). In questo caso si trova che tutti i poli dell‘ampiezza di scattering n-p si trovano sul foglietto non fisico. Il contributo principale all‘ampiezza alle basse energie proviene da un polo sull‘asse reale a 66 keV al di sotto della soglia; si interpreta la posizione di questo polo come « massa » del deutone virtuale.
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References
W. Wada:Nuovo Cimento,24, 508 (1962).
G. KÄllén andW. Pauli:Dan. Mat. Fys. Medd.,30, no.7 (1955).
T. D. Lee:Phys. Rev.,95, 1329 (1954).
V. Glaser andG. KÄllén:Nucl. Phys.,2, 706 (1956).
M. Lévy:Nuovo Cimento,13, 115 (1959).
Y. Yamaguchi:Phys. Rev.,95, 1628 (1954);L. Hulthén andM. Sugawara:Encyclopedia of Physics, vol.39 (Berlin, 1957).
R. E. Peierls:Proc. of the 1954 Glasgow Conf. (London, 1955), p. 296.
G. KÄllén:Lectures in Theoretical Physics,1, 169 (New York, 1961).
N. E. Booth, A. Abashian andK. M. Crowe:Phys. Rev. Lett.,7, 35 (1961). See alsoA. O. Barut:Phys. Rev.,126, 1873 (1962).
L. Bertanza, V. Brisson, P. L. Connolly, E. L. Hart, I. S. Mittra, G. C. Moneti, R. R. Rau, N. P. Samios, I. 0. Skillicorn, S. S. Yamamoto, M. Goldberg, L. Gray, J. Leitner, S. Lichtman andJ. Westgard:Phys. Rev. Lett.,9, 180 (1962).
G. Alexander, O. I. Dahl, L. Jacobs, G. R. Kalbfleisch, D. H. Miller. A. Rittenberg, J. Schwartz andG. A. Smith:Phys. Rev. Lett.,9, 460 (1962).
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Joseph, D.W., Wada, W.W. The lee model applied to the virtual deuteron. Nuovo Cim 28, 7–17 (1963). https://doi.org/10.1007/BF02806043
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DOI: https://doi.org/10.1007/BF02806043