TY - JOUR
T1 - The contour deformation method in momentum space, applied to subatomic physics
AU - Hagen, G.
AU - Vaagen, J. S.
AU - Hjorth-Jensen, M.
PY - 2004/9/24
Y1 - 2004/9/24
N2 - A generalized contour deformation method (CDM), which combines complex rotation and translation in momentum space, is discussed. CDM gives accurate calculation of two-body spectral structures: bound, antibound, resonant and continuum states forming a Berggren basis. It provides a basis for full off-shell t-matrix calculations both for real and complex input energies. Results for both spectral structures and scattering amplitudes compare perfectly well with exact values for the analytically solvable separable non-local Yamaguchi potential as a testcase. Accurate calculation of antibound states in the Malfliet-Tjon and the realistic CD-Bonn nucleon-nucleon potential are presented. Calculation of antibound states in the CD-Bonn potential are not known to have been given elsewhere.
AB - A generalized contour deformation method (CDM), which combines complex rotation and translation in momentum space, is discussed. CDM gives accurate calculation of two-body spectral structures: bound, antibound, resonant and continuum states forming a Berggren basis. It provides a basis for full off-shell t-matrix calculations both for real and complex input energies. Results for both spectral structures and scattering amplitudes compare perfectly well with exact values for the analytically solvable separable non-local Yamaguchi potential as a testcase. Accurate calculation of antibound states in the Malfliet-Tjon and the realistic CD-Bonn nucleon-nucleon potential are presented. Calculation of antibound states in the CD-Bonn potential are not known to have been given elsewhere.
UR - http://www.scopus.com/inward/record.url?scp=4744352586&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/37/38/006
DO - 10.1088/0305-4470/37/38/006
M3 - Article
AN - SCOPUS:4744352586
SN - 0305-4470
VL - 37
SP - 8991
EP - 9021
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 38
ER -