Two-particle resonances and singularities of the $(2\to 3)$ scattering amplitude
Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 1, pp. 67-80
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A study is made of the analytic properties of the scattering amplitude for reactions with the formation of three particles in the final state under the assumption that the two-particle subsystems have resonance states. It is shown that on the unphysical sheet with respect to the energies of the relative motions of the pairs, the amplitude has pole and logarithmic singularities.
@article{TMF_1976_27_1_a6,
author = {A. I. Baz' and S. P. Merkur'ev},
title = {Two-particle resonances and singularities of the $(2\to 3)$ scattering amplitude},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {67--80},
year = {1976},
volume = {27},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1976_27_1_a6/}
}
TY - JOUR AU - A. I. Baz' AU - S. P. Merkur'ev TI - Two-particle resonances and singularities of the $(2\to 3)$ scattering amplitude JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1976 SP - 67 EP - 80 VL - 27 IS - 1 UR - http://geodesic.mathdoc.fr/item/TMF_1976_27_1_a6/ LA - ru ID - TMF_1976_27_1_a6 ER -
A. I. Baz'; S. P. Merkur'ev. Two-particle resonances and singularities of the $(2\to 3)$ scattering amplitude. Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 1, pp. 67-80. http://geodesic.mathdoc.fr/item/TMF_1976_27_1_a6/
[1] A. I. Baz, Ya. B. Zeldovich, A. M. Perelomov, Rasseyanie, reaktsii i raspady v nerelyativistskoi kvantovoi mekhanike, «Nauka», 1971 | Zbl
[2] L. D. Faddeev, Tr. Matem. in-ta AN SSSR, 69, 1963 | MR | Zbl
[3] A. I. Baz, S. P. Merkurev, Pisma ZhETF, 20 (1974), 753
[4] R. Nyuton, Teoriya rasseyaniya voln i chastits, «Mir», 1969 | MR
[5] C. Lovelace, Phys. Rev., 135 (1964), 1224 | DOI | MR
[6] A. M. Badalyan, Yu. A. Simonov, YaF, 17 (1973), 441 | MR
[7] N. I. Muskhelishvili, Singulyarnye integralnye uravneniya, «Nauka», 1968 | MR | Zbl