Application of the R-matrix Theory to Low-Energy Potential Scattering

2009 ◽  
Author(s):  
Miroslav Šulc ◽  
Jiří Horáček ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Matrix Theory ◽  
Potential Scattering ◽  
Low Energy ◽  
Energy Potential ◽  
R Matrix

EFFECTS OF ELECTRIC POLARIZABILITY OF NUCLEI IN LOW-ENERGY COLLISIONS AND ACTION RADIUS OF THE POLARIZATION POTENTIAL

1992 ◽  
Vol 07 (12) ◽  
pp. 2713-2739 ◽  
Author(s):  
V. V. PUPYSHEV ◽  
O. P. SOLOVTSOVA
Keyword(s):  
Potential Scattering ◽  
Polarization Potential ◽  
Low Energy ◽  
S Wave ◽  
Energy Potential ◽  
Electric Polarizability ◽  
Correct Definition ◽  
Starting Point ◽  
Identical Zero ◽  
Definition Of

Recent works devoted to investigating the role of electric polarizability of nuclei in elastic and nucleosynthesis reactions are critically and constructively reviewed, in order to formulate some problems of the low-energy potential scattering theory. Possible methods for solving these problems are outlined. One of the problems, a correct definition of the range of action of the polarization potential, is discussed in detail. An intuitively clear conception of this radius — the lower bound of the distance range, where the polarization potential may be replaced by identical zero — is used as a starting point. The fact that this bound should be defined in each concrete case is demonstrated by the results obtained by exploration of the pp reaction and the S-wave π±d-elastic collisions. Also discussed are numerical and analytical methods for finding the action radius depending on the studied function, the accuracy required for its evaluation, the scattering energy and the sign of the Coulomb potential.

scholarly journals Low-energy potential scattering in two and three dimensions

2009 ◽  
Vol 50 (7) ◽  
pp. 072105 ◽  
Author(s):  
N. N. Khuri ◽  
André Martin ◽  
J.-M. Richard ◽  
Tai Tsun Wu
Keyword(s):  
Potential Scattering ◽  
Low Energy ◽  
Three Dimensions ◽  
Energy Potential

scholarly journals Evaluation of differential cross-sections for light element reactions at low energies using R-matrix calculations: The case of 12C

2020 ◽  
Vol 19 ◽  
pp. 151
Author(s):  
M. Kokkoris
Keyword(s):  
Compound Nucleus ◽  
Matrix Theory ◽  
Ion Beam ◽  
Scattering Problem ◽  
Light Element ◽  
Low Energy ◽  
P System ◽  
Theoretical Evaluation ◽  
R Matrix ◽  
Base Functions

The theoretical evaluation of diÆerential cross-section values for low-energy re- actions of light elements is of great importance in the fields of IBA (Ion Beam Analysis) and nuclear astrophysics. R-matrix theory is generally accepted as the most appropriate one for the analysis of resonance reactions in low-energy nuclear physics. In this approach, the configuration space of the scattering problem is divided into an internal region, corresponding to the compound nucleus, where the total wave function can be expanded into a complete set of eigenstates (in terms of unknown base functions, with the energy eigenvalues and the matrix elements of the base functions being adjustable parameters) and an external region, where the possible combinations of coupled particle pairs exist, corresponding to the reaction channels that emerge from the compound nucleus. This division of space is made by the choice of the boundary of the compound nucleus, i.e. an appropriate nuclear radius is chosen for each reaction channel. The R-matrix takes account of all the interactions which occur inside the nucleus. In the present work, results obtained in the specific case of elastic scattering and charged-particle nuclear reactions, namely for the 12C+p system are presented.

scholarly journals Progress in study of low-energy photoelectron in ultra-fast strong fields-analytical R-matrix theory based semiclassical trajectory method

2016 ◽  
Vol 65 (22) ◽  
pp. 223204
Author(s):  
Huang Wen-Xiao ◽  
Zhang Yi-Zhu ◽  
Yan Tian-Min ◽  
Jiang Yu-Hai
Keyword(s):  
Matrix Theory ◽  
Low Energy ◽  
R Matrix ◽  
Strong Fields ◽  
Trajectory Method

scholarly journals Calculation of electron scattering cross-section using different theoretical methods

2020 ◽  
Vol 239 ◽  
pp. 08005
Author(s):  
Xiazhi Li ◽  
Jinhui Zhu ◽  
Yinghong Zuo ◽  
Ya Li
Keyword(s):  
Partial Wave ◽  
Cross Section ◽  
Matrix Theory ◽  
High Energy ◽  
Scattering Cross Section ◽  
Low Energy ◽  
Energy Electron ◽  
R Matrix ◽  
Scattering Cross ◽  
Wave Methods

Aiming at the simulation of the fine process of the electron transportation in gamma detectors, we calculate electron differential scattering cross-section (DCS) of several typical materials including Fe, ethylene and polyethylene. Based on two different calculation methods, which are partial wave methods based on Dirac equation and R-matrix theory, we find differences of the cross section at low energy region. The result indicates that both partial wave method and R-matrix theory associated with independent atom method (IAM) are not suitable for low energy electron impacting on strong coupled molecule, for example, electron-ethylene. For high energy electron interacting with atom and molecule, the result shows no critical difference because the kinetic energy of the incident electron is severely higher than the electron bound energy in molecule or the excitation energy of a certain atom.

Approximation methods for low-energy potential scattering

1975 ◽  
Vol 244 (3) ◽  
pp. 449-461
Author(s):  
C.R. Garibotti ◽  
J.A. Mignaco
Keyword(s):  
Potential Scattering ◽  
Low Energy ◽  
Approximation Methods ◽  
Energy Potential

Low energy potential scattering and the limit of large dimensionality

1984 ◽  
Vol 17 (13) ◽  
pp. L687-L690 ◽  
Author(s):  
M Sinha-Roy ◽  
R S Gangopadhyay ◽  
B Dutta-Roy
Keyword(s):  
Potential Scattering ◽  
Low Energy ◽  
Energy Potential
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