Matrix Padé approximants and the Bethe-Salpeter equation of the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>N</mi><mo>−</mo><mi>N</mi></math></span> interaction

A. Gersten; D. A. Owen; J. L. Gammel; P. Mery; G. Turchetti

doi:10.1103/PhysRevD.13.1140

Matrix Padé approximants and the Bethe-Salpeter equation of the $N - N$ interaction

A. Gersten, D. A. Owen, J. L. Gammel, P. Mery, and G. Turchetti

Phys. Rev. D 13, 1140 – Published 15 February 1976

Abstract

We discuss the problem of which diagrams should be taken for the matrix Padé analysis and for the Bethe-Salpeter equation. We relate the "potential" of the Bethe-Salpeter equation with bare intermediate nucleons to the "potential" of the Bethe-Salpeter equation with dressed intermediate nucleons. We discuss the origin of the differences in recent calculations of the nucleon-nucleon phase shifts based on matrix Padé approximants.

Received 6 October 1975

DOI:https://doi.org/10.1103/PhysRevD.13.1140

Authors & Affiliations

A. Gersten^* and D. A. Owen

Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva, Israel

J. L. Gammel

Department of Physics, University of Saint Louis, Saint Louis, Missouri

P. Mery

Centre Universitaire de Luminy, Centre de Physique Théorique, Marseille, France

G. Turchetti

Instituto di Fisica A. Righi, University of Bologna, Bologna, Italy

^*Present address: Dept. of Nuclear and Particle Physics, University of Geneva, Geneva, Switzerland.

Original Article

Matrix Padé Approximants for the ${}^{1}S_{0}$ and ${}^{3}P_{0}$ Partial Waves in Nucleon-Nucleon Scattering

J. Fleischer, J. L. Gammel, and M. T. Menzel

Phys. Rev. D 8, 1545 (1973)

References (Subscription Required)

Click to Expand

Issue

Vol. 13, Iss. 4 — 15 February 1976

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Physical Review D

covering particles, fields, gravitation, and cosmology