S-matrix approach to the theory of hadron structure functions

1982 ◽  
Vol 26 (1) ◽  
pp. 100-104 ◽  
Author(s):  
N. G. Antoniou ◽  
S. D. P. Vlassopulos
Keyword(s):  
Structure Functions ◽  
Matrix Approach ◽  
Hadron Structure ◽  
S Matrix

The study of the refractive scattering of 6Li and 6He on carbon target with the S-matrix approach

2021 ◽  
Vol 36 (36) ◽  
Author(s):  
Liyuan Hu ◽  
Yushou Song ◽  
Yingwei Hou ◽  
Huilan Liu ◽  
Gongming Yu
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Forward Direction ◽  
Matrix Approach ◽  
Carbon Target ◽  
Intermediate Energies ◽  
S Matrix ◽  
Bombarding Energy

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.

scholarly journals Anisotropic Metamaterials Filled Rectangular Metallic Waveguides Propagation Study and Analysis

2021 ◽  
pp. 34-43
Author(s):  
Nizar Tahri
Keyword(s):  
Control Strategy ◽  
Orthonormal Basis ◽  
Matrix Approach ◽  
Transmission Coefficients ◽  
Anisotropic Metamaterials ◽  
Waveguide Filters ◽  
S Matrix ◽  
The Matrix ◽  
The Galerkin Method ◽  
Transverse Fields

In this paper, we propose a novel generalized S-matrix characterization approach. The goal is to keep track of all observed discontinuities as efficiently as possible. In terms of reflection value, the proposed control strategy is based on transmission coefficients and one-axis rectangular guides. We successfully manipulate metal rectangular waveguide filters with both geometrical and physical discontinuity. Lossless discontinuity is depicted as a periodic structure that contains Metamaterials. The modal development of transverse fields provides the basis for the generalized S-matrix approach. The approach works by breaking down electromagnetic fields for each of the guides that make up the discontinuity on an orthonormal basis. When the Galerkin method is used, the matrix of diffraction of the junction is obtained directly.

scholarly journals Strong interaction effects in Σ- atoms

2020 ◽  
Vol 4 ◽  
pp. 59
Author(s):  
Th. Petridou
Keyword(s):  
Strong Interaction ◽  
Nuclear Spin ◽  
Interaction Effects ◽  
Atomic Energy ◽  
Orbit Coupling ◽  
Simplified Model ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Matrix Approach ◽  
S Matrix

An approximation is made for the Σ- atomic energy shifts and widths due to strong interaction central and spin-orbit parts of the potential with the use of the S-Matrix Approach, introduced by DelofF. This simplified model is applied in 12C_Σ in connection with the Σ-hypernuclear data: 12C_Σ. It is concluded that there is an essential influence of the strong interaction and especially of the nuclear spin-orbit coupling in the spectra of Σ-12C, mainly for the p-shell.

scholarly journals Structure of hadron structure functions

1980 ◽  
Vol 22 (7) ◽  
pp. 1787-1808 ◽  
Author(s):  
A. De Rújula ◽  
François Martin
Keyword(s):  
Structure Functions ◽  
Hadron Structure

scholarly journals Critical point of the two-dimensional Bose gas: An S-matrix approach

2010 ◽  
Vol 824 (3) ◽  
pp. 415-435 ◽  
Author(s):  
Pye-Ton How ◽  
André LeClair
Keyword(s):  
Critical Point ◽  
Bose Gas ◽  
Two Dimensional ◽  
Matrix Approach ◽  
S Matrix

scholarly journals MASSLESS FLOWS II: THE EXACT S-MATRIX APPROACH

1993 ◽  
Vol 08 (32) ◽  
pp. 5751-5778 ◽  
Author(s):  
P. FENDLEY ◽  
H. SALEUR ◽  
AL. B. ZAMOLODCHIKOV
Keyword(s):  
Magnetic Field ◽  
Ground State ◽  
State Energy ◽  
Casimir Energy ◽  
Matrix Approach ◽  
Minimal Models ◽  
Unusual Behavior ◽  
Conformal Field ◽  
S Matrix ◽  
Sine Gordon Model

We study the spectrum, the massless S matrices and the ground-state energy of the flows between successive minimal models of conformal field theory, and within the sine-Gordon model with imaginary coefficient of the cosine term (related to the minimal models by “truncation”). For the minimal models, we find exact S matrices which describe the scattering of massless kinks, and show using the thermodynamic Bethe ansatz that the resulting non-perturbative c function (defined by the Casimir energy on a cylinder) flows appropriately between the two theories, as conjectured earlier. For the nonunitary sine-Gordon model, we find unusual behavior. For the range of couplings we can study analytically, the natural S matrix deduced from the minimal one by “undoing” the quantum-group truncation does not reproduce the proper c function with the TBA. It does, however, describe the correct properties of the model in a magnetic field.

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