TY - JOUR
T1 - Matrix Padé approximants of the nucleon-nucleon interaction
AU - Gersten, A.
AU - Solow, Z.
PY - 1974/1/1
Y1 - 1974/1/1
N2 - The matrix Padé approximants (with 16 × 16 matrices) and the scalar Padé approximants (with 4 × 4 matrices) of the nucleon-nucleon S-matrix elements are calculated for total angular momentum J4 and for laboratory kinetic energy up to 425 MeV. The calculations are based on one- and two-pion exchanges of the pseudoscalar interaction. The coupling constant g is the only parameter of the interaction for which a value, consistent with experimental results, g24=15 is assumed. A simplified calculational scheme and formalism are presented. In order to interpret the results properly we give estimates in which energy regions we expect the one- and two-pion exchanges to be significant. For these energy regions we found that the matrix Padé approximants describe quite well the nucleon-nucleon interaction and give better approximations to the experimental data as compared to other methods of unitarization. The fact that in the framework of quantum field theory it is possible, even in limited energy regions, to give a reasonable description of the nucleon-nucleon scattering gives us more confidence in the pseudoscalar interaction as the fundamental interaction of nucleons and pions.
AB - The matrix Padé approximants (with 16 × 16 matrices) and the scalar Padé approximants (with 4 × 4 matrices) of the nucleon-nucleon S-matrix elements are calculated for total angular momentum J4 and for laboratory kinetic energy up to 425 MeV. The calculations are based on one- and two-pion exchanges of the pseudoscalar interaction. The coupling constant g is the only parameter of the interaction for which a value, consistent with experimental results, g24=15 is assumed. A simplified calculational scheme and formalism are presented. In order to interpret the results properly we give estimates in which energy regions we expect the one- and two-pion exchanges to be significant. For these energy regions we found that the matrix Padé approximants describe quite well the nucleon-nucleon interaction and give better approximations to the experimental data as compared to other methods of unitarization. The fact that in the framework of quantum field theory it is possible, even in limited energy regions, to give a reasonable description of the nucleon-nucleon scattering gives us more confidence in the pseudoscalar interaction as the fundamental interaction of nucleons and pions.
UR - http://www.scopus.com/inward/record.url?scp=33748529902&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.10.1031
DO - 10.1103/PhysRevD.10.1031
M3 - Article
AN - SCOPUS:33748529902
VL - 10
SP - 1031
EP - 1042
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 3
ER -