Equivalence of the fredholm and multichannel N/D methods in potential scattering
We consider the nonrelativistic scattering by a Yukawalike potential connecting a finite number of two-body channels without spin. We present a formulation of the N/D method leading to Bjorken's prescription and show that the determinant of the denominator is equal to the Fredholm determinant o...
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| Autores principales: | , , |
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| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00296341_v38_n1_p374_Bali |
| Aporte de: |
| Sumario: | We consider the nonrelativistic scattering by a Yukawalike potential connecting a finite number of two-body channels without spin. We present a formulation of the N/D method leading to Bjorken's prescription and show that the determinant of the denominator is equal to the Fredholm determinant of the Lippmann-Schwinger equation. This leads to the conclusion that the vanishing of det D at negative energies is a necessary and sufficient condition for the existence of boundstate poles. © 1965 Società Italiana di Fisica. |
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