Representation of non-local optical potentials for nuclear reactions
(2024) FYSK04 20241Department of Physics
Mathematical Physics
- Abstract
- A scattering process is the event where particles collide with each other and then move away from each other, in any direction. This is the foundation of any reaction between nuclei and is a central part of nuclear physics.
In modelling these reactions, it is central to determine an effective potential, representing the reaction, to use in analysis. This potential is a complex potential referred to as an optical potential. There are two main approaches in determining it, the phenomenological and microscopic approach.
The phenomenological approach fits experimental data to a model to determine the optical potential while the microscopic model instead calculates it from microscopic nuclear structure and reactions. The latter is an... (More) - A scattering process is the event where particles collide with each other and then move away from each other, in any direction. This is the foundation of any reaction between nuclei and is a central part of nuclear physics.
In modelling these reactions, it is central to determine an effective potential, representing the reaction, to use in analysis. This potential is a complex potential referred to as an optical potential. There are two main approaches in determining it, the phenomenological and microscopic approach.
The phenomenological approach fits experimental data to a model to determine the optical potential while the microscopic model instead calculates it from microscopic nuclear structure and reactions. The latter is an essential for nuclei with insufficient experimental data available. It is however difficult to construct microscopic models that have the performance of phenomenological ones. The microscopic models are numerical, making them harder to give some intuitive interpretation of nuclear reactions.
This thesis takes a step towards bridging the gap between phenomenological
model potentials and microscopic model potentials. Through comparative analysis, various models are projected onto one another, revealing the general shape of the microscopic model. It is then represented in an analytical form by developing an approximation of a basis for the L 2 Hilbert space that the microscopic model potential spans and then projecting the potential onto components of this basis.
The result obtained from this is the general shape of the microscopic model potential investigated. It is found to be represented by a linear combination of the Wood-Saxon and Gaussian distributions and their derivatives. (Less) - Popular Abstract
- The atomic nucleus, comprised of neutrons and protons, stands as a fundamental building block of our world and a cornerstone of modern physics. most of nuclear physics is built upon the idea of these nuclei interacting with each other, colliding with each other. That is what we refer to as nuclear reactions, which the scientific community strives to accurately predict the outcome of.
In this thesis, we will explore some of the attempts at modelling these nuclear reactions. These are essential in understanding the nuclear reactions we seek to predict. For this purpose, several popular models have been compared.
In this thesis we bridge the gap between these two models by employing a novel approach. Through comparative analysis,... (More) - The atomic nucleus, comprised of neutrons and protons, stands as a fundamental building block of our world and a cornerstone of modern physics. most of nuclear physics is built upon the idea of these nuclei interacting with each other, colliding with each other. That is what we refer to as nuclear reactions, which the scientific community strives to accurately predict the outcome of.
In this thesis, we will explore some of the attempts at modelling these nuclear reactions. These are essential in understanding the nuclear reactions we seek to predict. For this purpose, several popular models have been compared.
In this thesis we bridge the gap between these two models by employing a novel approach. Through comparative analysis, various models are examined, shedding light on the structures of microscopic potentials.
In order to achieve this, we develop a mathematical foundation, providing a framework for understanding the complex potentials. Through this lens, the model we investigate is deconstructed and represented analytically, offering a clearer understanding of its behaviour.
In essence, this thesis serves as a bridge between the some of the models for the potentials used in calculations in nuclear reactions. By progressing the models for nuclear interactions, it offers a path to better predictive capabilities and a deeper understanding of nuclear reactions. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/9159584
- author
- Nord, Lukas LU
- supervisor
-
- Andrea Idini LU
- organization
- course
- FYSK04 20241
- year
- 2024
- type
- M2 - Bachelor Degree
- subject
- keywords
- Nuclear reactions, optical potential, representation
- language
- English
- id
- 9159584
- date added to LUP
- 2024-06-10 08:34:11
- date last changed
- 2024-06-10 08:34:11
@misc{9159584,
abstract = {{A scattering process is the event where particles collide with each other and then move away from each other, in any direction. This is the foundation of any reaction between nuclei and is a central part of nuclear physics.
In modelling these reactions, it is central to determine an effective potential, representing the reaction, to use in analysis. This potential is a complex potential referred to as an optical potential. There are two main approaches in determining it, the phenomenological and microscopic approach.
The phenomenological approach fits experimental data to a model to determine the optical potential while the microscopic model instead calculates it from microscopic nuclear structure and reactions. The latter is an essential for nuclei with insufficient experimental data available. It is however difficult to construct microscopic models that have the performance of phenomenological ones. The microscopic models are numerical, making them harder to give some intuitive interpretation of nuclear reactions.
This thesis takes a step towards bridging the gap between phenomenological
model potentials and microscopic model potentials. Through comparative analysis, various models are projected onto one another, revealing the general shape of the microscopic model. It is then represented in an analytical form by developing an approximation of a basis for the L 2 Hilbert space that the microscopic model potential spans and then projecting the potential onto components of this basis.
The result obtained from this is the general shape of the microscopic model potential investigated. It is found to be represented by a linear combination of the Wood-Saxon and Gaussian distributions and their derivatives.}},
author = {{Nord, Lukas}},
language = {{eng}},
note = {{Student Paper}},
title = {{Representation of non-local optical potentials for nuclear reactions}},
year = {{2024}},
}