scholarly journals Bounds on Elements of the S Matrix for Elastic Scattering: One‐Dimensional Scattering

1962 ◽  
Vol 3 (2) ◽  
pp. 287-296 ◽  
Author(s):  
Ralph Bartram ◽  
Larry Spruch
2021 ◽  
Vol 36 (36) ◽  
Author(s):  
Liyuan Hu ◽  
Yushou Song ◽  
Yingwei Hou ◽  
Huilan Liu ◽  
Gongming Yu

In this paper, the S-matrix parametrization is adopted to analyze the refractive scattering of [Formula: see text] at intermediate energies systematically and that of [Formula: see text] at 230 MeV. For [Formula: see text], the experimental data containing the Fraunhofer oscillations and the rainbow falloff are reproduced very well by adjusting parameters. The S-matrix parameters and the rainbow angles show evident tendencies as the bombarding energy increases, which are comparable with those of [Formula: see text] elastic scattering on carbon target. For [Formula: see text], the experimental data in the forward direction are reproduced successfully by slightly adjusting the parameters used in the calculation of [Formula: see text] at 210 MeV. The calculated results show that the [Formula: see text] scattering exhibits a comparable transparency with that of [Formula: see text] at intermediate energies.


Author(s):  
John A. Adam

This chapter examines the properties of one-dimensional Jost solutions for S-matrix problems. It first considers how the left–right transmission and reflections coefficients can be expressed in terms of the elements of the S-matrix for one-dimensional scattering problems on, focusing on poles of the transmission coefficient. It then uses the radial equation to revisit the problem of the square-well potential from the perspective of the Jost solution, with Jost boundary conditions at r = 0 and as r approaches infinity. It also presents the notations for the Jost functions and the S-matrix before discussing the problem of scattering from a constant spherical inhomogeneity.


1988 ◽  
Vol 02 (06) ◽  
pp. 1399-1405 ◽  
Author(s):  
MARK JEFFERY ◽  
CHARLES GREEN ◽  
SOMDEV TYAGI ◽  
R. GILMORE

Microwave absorption measurements of the high T c ceramic superconductors reveal reproducible features in weak magnetic fields. These features are qualitatively explained by a quantum network model of these superconducting oxides. The ceramic superconductors are modeled as a set of one-dimensional wires weakly coupled at random nodes. The magnetoconductance, magnetization and susceptibility are computed from the network S-matrix.


1998 ◽  
Vol 13 (03) ◽  
pp. 211-217 ◽  
Author(s):  
V. V. PILIPENKO

The cross-section of the 16 O –16 O elastic scattering at 350 MeV including rainbow-like structures has been described on the basis of an original S-matrix model taking account of the effect of a Regge pole in the first quadrant of the complex l-plane.


1980 ◽  
Vol 93 (1-2) ◽  
pp. 16-20 ◽  
Author(s):  
N. Rowley ◽  
C. Marty ◽  
E. Plagnol

1996 ◽  
Vol 54 (2) ◽  
pp. 784-790 ◽  
Author(s):  
V. Chisté ◽  
R. Lichtenthäler ◽  
A. C. C. Villari ◽  
L. C. Gomes

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