Solving Schrödinger Wave Equation for the Charmonium Spectrum Using Artificial Neural Networks

In this study, we solved the Schrödinger wave equation by using effective potential in an artificial neural network (ANN) for the mass spectrum of different charmonium states, including ηc, ψ2, χ2, and  χ4. The ANN approach provides an efficient, more general, and continuous solution-approximating s...

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Bibliographic Details
Published in:Advances in high energy physics 2024-04, Vol.2024, p.1-11
Main Authors: Mahmood, Tariq, Darwish, Jumanah Ahmed, Hussain, Talab, Ahmed, Maqsood, Sherwani, Rehan Ahmad Khan
Format: Article
Language:English
Subjects:
Artificial neural networks
Atoms & subatomic particles
Finite element analysis
Genetic algorithms
High energy physics
Machine learning
Methods
Neural networks
Numerical analysis
Partial differential equations
Physics
Quarks
Wave equations
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Summary:In this study, we solved the Schrödinger wave equation by using effective potential in an artificial neural network (ANN) for the mass spectrum of different charmonium states, including ηc, ψ2, χ2, and  χ4. The ANN approach provides an efficient, more general, and continuous solution-approximating strategy, thus eliminating the possibility of skipping any region of interest in mass spectroscopy. The close consistency of ANN results with the already-reported results from numerical and theoretical approaches and experimental ones shows the reliability and accuracy of the ANN approach.
ISSN:1687-7357
1687-7365
DOI:10.1155/2024/5195790