[en] The pion-nucleon vertex function with an off-mass-shell nucleon is obtained through sideways dispersion relations with the P[SUB]11[/SUB] and S[SUB]11[/SUB] pion-nucleon phase shifts as only input. Contrary to the recent calculation of Nutt and Shakin, we find that the proper and improper vertex functions behave quite differently, indicating the importance of the nucleon propagator dressing. In particular the proper vertex function is found to have two poles in the unphysical region. NUCLEAR REACTIONS pion-nucleon vertex functions, sideways dispersion relations, nucleon self-energy corrections.
Disciplines :
Physics
Author, co-author :
Mizutani, T.
Rochus, Pierre ; Université de Liège - ULiège > CSL (Centre Spatial de Liège) - Instrumentation et expérimentation spatiales
Language :
English
Title :
Pion-nucleon vertex function with one nucleon off shell
Publication date :
01 March 1979
Journal title :
Physical Review. C, Nuclear Physics
ISSN :
0556-2813
eISSN :
1089-490X
Publisher :
American Physical Society, College Park, United States - Maryland
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Bibliography
Nutt W.T., Shakin C.M. Phys. Lett. 1977, 69 B:290.
Nutt W.T., Shakin C.M. Phys. Rev. C 1977, 16:1107.
Ida M. Phys. Rev. 1964, 136:B1767.
Bincer A.M. Phys. Rev. 1960, 118:855.
Pham T.N., Truong T.N. Phys. Rev. D 1976, 14:185.
Rowe G., Salomon M., Landau R.H. Phys. Rev. C 1978, 18:584.
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