Matrix Padé approximants and the Bethe-Salpeter equation of the N-N 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, G. Turchetti

Department of Physics

Research output: Contribution to journal › Review article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	1140-1143
Number of pages	4
Journal	Physical Review D
Volume	13
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevD.13.1140
State	Published - 1 Jan 1976

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.13.1140

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abstract = "We discuss the problem of which diagrams should be taken for the matrix Pad{\'e} 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 Pad{\'e} approximants.",

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AU - Gammel, J. L.

AU - Mery, P.

AU - Turchetti, G.

PY - 1976/1/1

Y1 - 1976/1/1

N2 - 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.

AB - 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.

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DO - 10.1103/PhysRevD.13.1140

M3 - Review article

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

Abstract

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