Abstract
Angular distributions for the elastic scattering of pions are generated by summing a partial wave series. The elastic T-matrix elements for each partial wave are obtained by solving a relativistic Lippmann-Schwinger equation in momentum space using a matrix inversion technique. Basically the Coulomb interaction is included exactly using the method of Vincent and Phatak. The ..pi..N amplitude is obtained from phase shift information on-shell and incorporates a separable off-shell form factor to ensure a physically reasonable off-shell extrapolation. The ..pi..N interaction is of finite range and a kinematic transformation procedure is used to express the ..pi..N amplitude in the ..pi.. nucleus frame. A maximum of 30 partial waves can be used in the present version of the program to calculate the cross section. The Lippmann-Schwinger equation is presently solved for each partial wave by inverting a 34x34 supermatrix. At very high energies, larger dimensions may be required. The present version of the code uses a separable non-local ..pi..N potential of finite range; other types of non-localities, or non-separable potentials, may be of physical interest.
Eisenstein, R A;
[1]
Tabakin, F
[2]
- Carnegie-Mellon Univ., Pittsburgh, Pa. (USA). Dept. of Physics
- Pittsburgh Univ., Pa. (USA). Dept. of Physics
Citation Formats
Eisenstein, R A, and Tabakin, F.
PIPIT: a momentum space optical potential code for pions.
Netherlands: N. p.,
1976.
Web.
doi:10.1016/0010-4655(76)90072-2.
Eisenstein, R A, & Tabakin, F.
PIPIT: a momentum space optical potential code for pions.
Netherlands.
https://doi.org/10.1016/0010-4655(76)90072-2
Eisenstein, R A, and Tabakin, F.
1976.
"PIPIT: a momentum space optical potential code for pions."
Netherlands.
https://doi.org/10.1016/0010-4655(76)90072-2.
@misc{etde_7097108,
title = {PIPIT: a momentum space optical potential code for pions}
author = {Eisenstein, R A, and Tabakin, F}
abstractNote = {Angular distributions for the elastic scattering of pions are generated by summing a partial wave series. The elastic T-matrix elements for each partial wave are obtained by solving a relativistic Lippmann-Schwinger equation in momentum space using a matrix inversion technique. Basically the Coulomb interaction is included exactly using the method of Vincent and Phatak. The ..pi..N amplitude is obtained from phase shift information on-shell and incorporates a separable off-shell form factor to ensure a physically reasonable off-shell extrapolation. The ..pi..N interaction is of finite range and a kinematic transformation procedure is used to express the ..pi..N amplitude in the ..pi.. nucleus frame. A maximum of 30 partial waves can be used in the present version of the program to calculate the cross section. The Lippmann-Schwinger equation is presently solved for each partial wave by inverting a 34x34 supermatrix. At very high energies, larger dimensions may be required. The present version of the code uses a separable non-local ..pi..N potential of finite range; other types of non-localities, or non-separable potentials, may be of physical interest.}
doi = {10.1016/0010-4655(76)90072-2}
journal = []
volume = {12:2}
journal type = {AC}
place = {Netherlands}
year = {1976}
month = {Nov}
}
title = {PIPIT: a momentum space optical potential code for pions}
author = {Eisenstein, R A, and Tabakin, F}
abstractNote = {Angular distributions for the elastic scattering of pions are generated by summing a partial wave series. The elastic T-matrix elements for each partial wave are obtained by solving a relativistic Lippmann-Schwinger equation in momentum space using a matrix inversion technique. Basically the Coulomb interaction is included exactly using the method of Vincent and Phatak. The ..pi..N amplitude is obtained from phase shift information on-shell and incorporates a separable off-shell form factor to ensure a physically reasonable off-shell extrapolation. The ..pi..N interaction is of finite range and a kinematic transformation procedure is used to express the ..pi..N amplitude in the ..pi.. nucleus frame. A maximum of 30 partial waves can be used in the present version of the program to calculate the cross section. The Lippmann-Schwinger equation is presently solved for each partial wave by inverting a 34x34 supermatrix. At very high energies, larger dimensions may be required. The present version of the code uses a separable non-local ..pi..N potential of finite range; other types of non-localities, or non-separable potentials, may be of physical interest.}
doi = {10.1016/0010-4655(76)90072-2}
journal = []
volume = {12:2}
journal type = {AC}
place = {Netherlands}
year = {1976}
month = {Nov}
}