Summary
The infinitely many poles that converge to the pointI =−1/2 at the threshold of elastic scattering are studied for coupled channels. It is shown that they exist at all thresholds for every S-matrix element. In addition, it is found that these threshold poles are responsible towards producing some « extra » zeros in the amplitude.
Riassunto
Si studiano, nei canali accoppiati, gli inflniti poli che convergono nel puntol =−1/2 alia soglia dello scattering elastico. Si dimostra che essi esistono a tutte le soglie per ogni elejnento délia matriceS. Inoltre si trova che questi poli alla soglia sono responsabili della produzione di alouni zeri « extra » nell’ampiezza.
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References
B. R. Desai andE. G. Newton:Phys. Rev.,130, 2109 (1963) and byV. N. Gribov andI. Ya. Pomeranchuk:Phys. Rev. Lett.,9, 238 (1962). Under more general considerations, the existence has been proved in ref. (2). See also ref. (3).
B. E. Desai andB. Sakita:Threshold Begge Poles and the Effective-Bange Expansion (to be published in thePhys. Rev.).
M. Eoss andY. N. Srivastava:An Effective-Bange Theory with Complex Angular Momentum (to be published in thePhys. Rev.).
H. M. Chan:Journ. Math. Phys.,4, 1042 (1963).
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Work supported in part by the U. S. Atomic Energy Commission.
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Srivastava, Y.N. Regge poles near the thresholds in multi-channel problems. Nuovo Cim 37, 667–670 (1965). https://doi.org/10.1007/BF02749863
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DOI: https://doi.org/10.1007/BF02749863