Deformed Woods-Saxon Potential in the Frame of Supersymmetric Quantum Mechanics for Any l-State
Cuneyt Berkdemir, Ayse Berkdemir, Ramazan Sever
TL;DR
This paper introduces a new analytically solvable deformed Woods-Saxon potential using supersymmetric quantum mechanics, providing energy levels for any angular momentum state and discussing nuclear scattering process relations.
Contribution
It presents a novel solvable form of the deformed Woods-Saxon potential utilizing supersymmetric quantum mechanics and shape invariance, extending solutions to all l-states.
Findings
Energy levels calculated for all l-states.
Demonstrated shape invariance property of the potential.
Discussed implications for nuclear scattering processes.
Abstract
A novel analytically solvable deformed Woods-Saxon potential is investigated by means of the Supersymmetric Quantum Mechanics. Hamiltonian hierarchy method and the shape invariance property are used in the calculations. The energy levels are obtained for any l-state. The interrelations for some nuclear scattering processes are also discussed
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Quantum Chromodynamics and Particle Interactions · Nuclear physics research studies