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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2025-08-21 0:50 |
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Conference: Bucharest University Faculty of Physics 2025 Meeting
Section: Theoretical and Computational Physics, High-Energy Physics, Applied Mathematics
Title:
R-Matrix Approach to Resonant Scattering in Quantum Systems
Authors:
Anisia ALEXANDRESCU (1), Ștefan GHINESCU (1,2)
Affiliation:
1) Faculty of Physics, University of Bucharest, Atomiștilor 405, RO-077125, Măgurele, Romania
2) IFIN-HH, Reactorului 30, RO-077125, P.O.B. MG-6, Măgurele, Romania
E-mail
anisia-daria.alexandrescu@s.unibuc.ro
Keywords:
R-matrix, nuclear resonances
Abstract:
The R-matrix method, developed by Wigner and Eisenbud in 1947, is a technique
for solving the Schrödinger equation for multi-channel quantum systems. This method has
been further developed and optimized, and it is primarily used in quantum mechanics and
nuclear physics, particularly in collision theory applications at both low and high energies.
Using this method, one can describe in detail and parametrize the cross section and
the resonances associated with a scattering process, based on a set of experimental data
obtained from studying the resonant states of the system under investigation. The method
provides a rigorous formal framework that facilitates the connection between theory and
experiment, allowing for a direct physical interpretation of the extracted parameters.
The computational approach involves dividing space into two distinct regions: the
internal region, where ra. The boundary between these
two regions is defined by the channel radius, a. This parameter is chosen such that in the external region, only long-range forces dominate, while in the internal region, all complex
particle interactions, including short-range forces, are taken into account.
In this work, we aim to evaluate and implement the computational R-matrix method
for the analysis of quantum and nuclear systems such as the
12C+p system, by developing
and implementing a numerical application using the Python programming language. The
developed program is designed to analyze the interaction between a target particle and a
projectile particle, with the goal of determining key parameters commonly used to describe
such systems. These include the resonance within an arbitrary potential, the resonance
width, the phase shift between the internal and external regions, the penetrability factor (P),
and the shift factor (S).
References:
[1] P. Descouvemont and D. Baye 2010 Rep. Prog. Phys. 73 036301
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