Linked cluster decomposition of an S matrix. Generalization of the eikonal approximation

Journal Article · Sun Jul 01 04:00:00 EDT 1973 · Progr. Theor. Phys. (Kyoto), v. 50, no. 1, pp. 147-167

DOI:https://doi.org/10.1143/PTP.50.147· OSTI ID:4395963

Obu, M

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 t''one-body'' cluster contributionl is shown to be a geometrical generalization to the ordinary eikonal approximation. The convergence is tested numerically for Yukawa potentials. (auth)

• Research Organization: Nihon Univ., Tokyo
• NSA Number: NSA-29-011310
• OSTI ID: 4395963
• Journal Information: Progr. Theor. Phys. (Kyoto), v. 50, no. 1, pp. 147-167, Journal Name: Progr. Theor. Phys. (Kyoto), v. 50, no. 1, pp. 147-167; ISSN PTPKA
• Country of Publication: Japan
• Language: English

Related Subjects

*EIKONAL APPROXIMATION
*POTENTIAL SCATTERING-- S MATRIX
*S MATRIX-- EIKONAL APPROXIMATION
GLAUBER THEORY
N64500* --Physics (High Energy)--Scattering Theory
PERTURBATION THEORY
SCATTERING AMPLITUDES
YUKAWA POTENTIAL