Composite Particle and Vertex Function in the Nonrelativistic Off-Shell Theory
スポンサーリンク
概要
- 論文の詳細を見る
We extend Weinberg's quasiparticle method to the useful form having good correspondence to the on-shell S-matrix theory and giving a unique definition of vertex function and propagator of composite particle in the nonrelativistic off-shell theory. A method is proposed, by which the off-shell scattering amplitude is separated into two parts: one having no composite particle pole and satisfying the unitarity under the on-shell condition, and the other consisting of vertex functions and propagator related to the composite particle. This new separation has complete correspondence to the one in the usual on-shell S-matrix theory. It is shown that proper and improper vertex functions and form factor, which satisfy the on-shell unitarity, can be defined in the off-shell theory by using Weinberg's eigenfunction. Analytic continuation formulas for the form factor, vertex functions and amplitudes into the second sheet are obtained in rather peculiar forms. Further, it is shown that both bound state and resnance can be treated in the parallel way.
- 理論物理学刊行会の論文
- 1967-05-25
著者
-
Yamazaki Miwae
Department Of Physics Tokyo University Of Education
-
Yamazaki Miwae
Department Of Physics Saitama University
-
MISHIMA Nobuhiko
College of Science and Engineering Aoyama Gakuin University
関連論文
- Rearrangement Collision between Proton and Hydrogen Atom
- Complex Singularity and Unitarity
- P-Wave Resonance in Pion-Pion Scattering
- Finite Cross Section for Three-Particle Scattering
- Pion Production in Pion-Nucleon Collision with Assumption of Strong Pion-Pion Interaction
- Composite Particle and Vertex Function in the Nonrelativistic Off-Shell Theory
- N/D Formalism for Scattering Amplitudes with Unstable Particles
- Three-Particle Scattering without Divergence Difficulty
- K-Matrix Formalism for Three-Body Scattering and Bound-State Scattering
- Meson Form Factor in One Loop Order
- Asymptotic Behavior of Pion Form Factor
- An Extension of the Faddeev Formalism to Composite-Particle Scattering