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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Main Authors: Tariq Mahmood, Jumanah Ahmed Darwish, Talab Hussain, Maqsood Ahmed, Rehan Ahmad Khan Sherwani
Format: Article
Language:English
Published: Hindawi Limited 2024-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2024/5195790
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author Tariq Mahmood
Jumanah Ahmed Darwish
Talab Hussain
Maqsood Ahmed
Rehan Ahmad Khan Sherwani
author_facet Tariq Mahmood
Jumanah Ahmed Darwish
Talab Hussain
Maqsood Ahmed
Rehan Ahmad Khan Sherwani
author_sort Tariq Mahmood
collection DOAJ
description 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.
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spelling doaj.art-6da83aba4df14646b4302fcfd7d717ee2024-04-11T00:00:03ZengHindawi LimitedAdvances in High Energy Physics1687-73652024-01-01202410.1155/2024/5195790Solving Schrödinger Wave Equation for the Charmonium Spectrum Using Artificial Neural NetworksTariq Mahmood0Jumanah Ahmed Darwish1Talab Hussain2Maqsood Ahmed3Rehan Ahmad Khan Sherwani4Centre for High Energy PhysicsDepartment of Mathematics and StatisticsCentre for High Energy PhysicsCentre for High Energy PhysicsCollege of Statistical SciencesIn 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.http://dx.doi.org/10.1155/2024/5195790
spellingShingle Tariq Mahmood
Jumanah Ahmed Darwish
Talab Hussain
Maqsood Ahmed
Rehan Ahmad Khan Sherwani
Solving Schrödinger Wave Equation for the Charmonium Spectrum Using Artificial Neural Networks
Advances in High Energy Physics
title Solving Schrödinger Wave Equation for the Charmonium Spectrum Using Artificial Neural Networks
title_full Solving Schrödinger Wave Equation for the Charmonium Spectrum Using Artificial Neural Networks
title_fullStr Solving Schrödinger Wave Equation for the Charmonium Spectrum Using Artificial Neural Networks
title_full_unstemmed Solving Schrödinger Wave Equation for the Charmonium Spectrum Using Artificial Neural Networks
title_short Solving Schrödinger Wave Equation for the Charmonium Spectrum Using Artificial Neural Networks
title_sort solving schrodinger wave equation for the charmonium spectrum using artificial neural networks
url http://dx.doi.org/10.1155/2024/5195790
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