Journal ArticleDOI
A new approach to the three-body problem
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In this paper, a set of three integral equations for the wave functions of the three-body problem is proposed, one of these equations is the Lippmann-Schwinger equation, the other two are homogeneous equations and complete the definition of the boundary conditions.About:
This article is published in Nuclear Physics.The article was published on 1970-02-09. It has received 53 citations till now. The article focuses on the topics: Free boundary problem & Elliptic boundary value problem.read more
Citations
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The three-nucleon continuum: achievements, challenges and applications
TL;DR: In this paper, the basic equations for 3N scattering based on general two-nucleon and 3N forces are reviewed and the main steps for their derivation are given.
Journal ArticleDOI
Charge exchange in energetic ion-atom collisions
D.P. Dewangan,J. Eichler +1 more
TL;DR: An overview of the current status of perturbative theoretical approaches to charge in energetic ion-atom collisions is presented in this paper, where a critical assessment of various theoretical models by pointing out their advantages and shortcomings is provided.
Journal ArticleDOI
Resonant-state solution of the Faddeev-Merkuriev integral equations for three-body systems with Coulomb potentials
TL;DR: In this paper, a method for calculating resonances in three-body Coulombic systems is presented, where the Faddeev-Merkuriev integral equations are solved by applying the Coulomb-Sturmian separable expansion method.
Journal ArticleDOI
Kinetic theory of reacting fluid mixtures. I. The BBGKY hierarchy in arrangement channel quantum mechanics
TL;DR: In this paper, the statistical mechanics of reacting fluid mixtures are considered using arrangement channel quantum mechanics, where the many body wave function, ψ, is expressed in terms of arrangement channel components ψα which satisfy coupled time dependent equations.
Journal ArticleDOI
Distribution properties of the channel interactions inN-body scattering and applications
G. Cattapan,V. Vanzani +1 more
TL;DR: In this article, the authors derived several classes of distribution properties for the channel internal and external interactions, as well as for generalized residual interactions, in the framework of the N-body scattering theory.
References
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Book
Scattering theory of waves and particles
TL;DR: In this paper, the authors present a survey of various approaches to the solution of three-particle problems, as well as a discussion of the Efimov effect, and the general approach to multiparticle reaction theory.
Journal ArticleDOI
Quasiparticles and the Born Series
TL;DR: In this paper, a detailed study of the eigenvalues of the scattering kernel was carried out, and it was shown that perturbation theory always works in nonrelativistic scattering theory, unless composite particles are present.
Journal ArticleDOI
Properties of the kernel of a three-body Lippmann-Schwinger equation
W. Glöckle,W. D. Heiss +1 more
TL;DR: In this article, a partial wave decomposition is introduced which defines radial kernels and their singularities in W are elaborated, and it is proved that each of these radial kernels is of the Hilbert-Schmidt type in contrast to the full kernel K.