Geodesic
Description of multiparticle scattering by a projection method
Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 3, pp. 443-453 
V. I. Kukulin; V. N. Pomerantsev. Description of multiparticle scattering by a projection method. Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 3, pp. 443-453. http://geodesic.mathdoc.fr/item/TMF_1987_73_3_a9/
@article{TMF_1987_73_3_a9,
     author = {V. I. Kukulin and V. N. Pomerantsev},
     title = {Description of multiparticle scattering by a~projection method},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {443--453},
     year = {1987},
     volume = {73},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_73_3_a9/}
}
TY  - JOUR
AU  - V. I. Kukulin
AU  - V. N. Pomerantsev
TI  - Description of multiparticle scattering by a projection method
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1987
SP  - 443
EP  - 453
VL  - 73
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1987_73_3_a9/
LA  - ru
ID  - TMF_1987_73_3_a9
ER  - 
%0 Journal Article
%A V. I. Kukulin
%A V. N. Pomerantsev
%T Description of multiparticle scattering by a projection method
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1987
%P 443-453
%V 73
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1987_73_3_a9/
%G ru
%F TMF_1987_73_3_a9

Voir la notice de l'article provenant de la source Math-Net.Ru

It is suggested to describe scattering in a few-body system by means of the projection formalism based on separation of a finite-dimensional “inner” subspace. If this “inner” subspace is sufficiently large, the kernels of the modified integral equations of the Faddeev–Yakubovsky type become small, thereby justifying the use of the perturbation theory. The expressions for the zero-order amplitudes are obtained which are completely determined by the inhomogeneous terms in the equations and approach the exact amplitudes when the “inner” subspace is enlarging.

[1] Bassishis W. H., Reading J. F., Scheerbaum R. R., Phys. Rev., C13:2 (1975), 316–323

[2] Merkurev S. P., Faddeev L. D., Kvantovaya teoriya rasseyaniya dlya sistem neskolkikh chastits, Nauka, M., 1985 | MR

[3] Kukulin V. I., Pomerantsev V. N., Ann. Phys. (N. Y.), III:2 (1978), 330–363 | DOI | MR

[4] Kukulin V. I. et al., J. of Phys. G: Nucl. Phys., 8:6 (1982), 1671–1687 | DOI

[5] Emelyanov V. G. et al., Phys. Lett., 157B:1 (1985), 105–107 | DOI

[6] Krasnopol'sky V. M. et al., J. of Phys. G: Nucl. Phys., 8:3 (1982), 649–666