References
M. L. Goldberger andK. M. Watson:Collision Theory, chap. 11 (New York, 1964).
L. I. Faddeev:Žurn. Ėksp. Teor. Fiz.,39, 1459 (1960) (translation:Sov. Phys. JETP,12, 1014 (1961)).
This is realized both in the older (ref.(1)) as well as in the more recent (ref. (2)) scattering theories.
K. L. Kowalski andD. Feldman:Journ. Math. Phys.,2, 499 (1961).
K. L. Kowalski andD. Feldman:Journ. Math. Phys.,4, 507 (1963).
K. L. Kowalski:Phys. Rev. Lett.,15, 798, 908 (1965).
C. Lovelace:Phys. Rev.,135, B 1225 (1964).
J. Y. Guennegues:Nuovo Cimento,32, 549 (1966).
See, in particular, the examples considered in ref. (8). These difficulties were first pointed out to us byJ. L. Basdevant (private communication).
We consider, for the sake of simplicity, the single-channel scattering of two spinless particles in state of orbital angular momentuml. The indexl has been suppressed throughout. The quantitiesp, p′, k andq refer to the magnitudes of the c. m. momenta and have the range 0≤p≤∞, etc. This last domain is also the range of all the integrations appearing in this paper. Finally, we suppose that the partial-wave amplitudes of the potential,V(p, p′), are symmetric inp, p′ which, in turn, implies a similar symmetry fort4(p, p′); the potential is presumed to be Hermitian.
It is not clear how this freedom could be exploited in the course of a multiparticle calculation.
H. P. Noyes:Phys. Rev. Lett.,15, 538 (1965).
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This work was supported in part by the U. S. Atomic Energy Commission.
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Kowalski, K.L. Two-particle off-shell equations for negative energies. Nuovo Cimento A (1965-1970) 45, 769–771 (1966). https://doi.org/10.1007/BF02721150
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DOI: https://doi.org/10.1007/BF02721150