ON COMPLEX ANGULAR MOMENTUM IN MANY-CHANNEL POTENTIAL-SCATTERING PROBLEMS. PART II
Technical Report
·
OSTI ID:4700263
It is shown that for many-channel, arbitrary spin, potential-scattering problems, the previously defined continuation of the S matrix to nonphysical values of total angular momentum is such that a generalized SommerfeldWatson transformation on the partial-wave expansions of the scatiering amplitudes can be made. An important symmetry of the partial-wave amplitudes is obtained, thus permitting an analogue of Mandelstam's modification of the Sommerfeld-Watson transform. It is shown that a pole of the S matrix at J = alpha is associated with a contribution to the scattering amplitude that behaves like z/sup alpha / for large values of z = cos theta , t being the scattering angle, and that such contributions dominate over the remaining integral terms. Exchange potentials and the generalization of J-parity are discussed, and some results on the positions of poles of the S matrix are derived. (auth)
- Research Organization:
- California Univ., Berkeley. Lawrence Radiation Lab.
- DOE Contract Number:
- W-7405-ENG-48
- NSA Number:
- NSA-17-011501
- OSTI ID:
- 4700263
- Report Number(s):
- UCRL-10209
- Country of Publication:
- United States
- Language:
- English
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