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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todo:paper_00296341_v38_n1_p374_Bali2023-10-03T14:39:35Z Equivalence of the fredholm and multichannel N/D methods in potential scattering Bali, N. Munczek, H. Pignotti, A. 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. Fil:Bali, N. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Munczek, H. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Pignotti, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00296341_v38_n1_p374_Bali |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
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. |
| format |
JOUR |
| author |
Bali, N. Munczek, H. Pignotti, A. |
| spellingShingle |
Bali, N. Munczek, H. Pignotti, A. Equivalence of the fredholm and multichannel N/D methods in potential scattering |
| author_facet |
Bali, N. Munczek, H. Pignotti, A. |
| author_sort |
Bali, N. |
| title |
Equivalence of the fredholm and multichannel N/D methods in potential scattering |
| title_short |
Equivalence of the fredholm and multichannel N/D methods in potential scattering |
| title_full |
Equivalence of the fredholm and multichannel N/D methods in potential scattering |
| title_fullStr |
Equivalence of the fredholm and multichannel N/D methods in potential scattering |
| title_full_unstemmed |
Equivalence of the fredholm and multichannel N/D methods in potential scattering |
| title_sort |
equivalence of the fredholm and multichannel n/d methods in potential scattering |
| url |
http://hdl.handle.net/20.500.12110/paper_00296341_v38_n1_p374_Bali |
| work_keys_str_mv |
AT balin equivalenceofthefredholmandmultichannelndmethodsinpotentialscattering AT munczekh equivalenceofthefredholmandmultichannelndmethodsinpotentialscattering AT pignottia equivalenceofthefredholmandmultichannelndmethodsinpotentialscattering |
| _version_ |
1807323230009032704 |