Linked Cluster Decomposition of an S Matrix : Generalization of the Eikonal Approximation
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概要
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An S matrix for potential scattering is decomposed into an infinite product form with each factor representing the contributions from "linked clusters". The linked clusters are defined in the framework of the time-dependent formal scattering theory as multifold commutators of the time-dependent interaction Hamiltonian. It is emphasized that in dealing with high-energy scattering by a smooth potential the linked cluster decomposition provides us with rapid convergence. In fact even the first approximation ("one-body" cluster contribution) is shown to be a geometrical generalization to the ordinary eikonal approximation. The convergence is tested numerically for Yukawa potentials.
- 理論物理学刊行会の論文
- 1973-07-25
著者
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Obu Mitsuaki
Department Of Physics And Atomic Energy Research Institute College Of Science And Engineering Nihon
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Obu Mitsuaki
Department Of Physics And Atomic Energy Research Institute College Of Science And Engineering Nihon
関連論文
- Generalized Eikonal Approximation and Multiple-Scattering Formalism at High Energies
- Kohn-Hulthen Variational Method for Bound-State Problems
- Comments on the Ordering Problem in the Application of the Glauber Multiple-Scattering Theory
- Linked Cluster Decomposition of an S Matrix : Generalization of the Eikonal Approximation
- Geometrical Corrections to the Glauber Multiple-Scattering Theory
- Multiple Scattering from Overlapping Potentials : The Effective Propagator Approximation