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Scaling behaviour of the Hellmann potential with different strength parameters
Authors:I Nasser  Afaf Abdel-Hady
Institution:1. Department of Physics, King Fahd University of Petroleum &2. Minerals, Dhahran, Saudi Arabia;3. Department of Physics, Faculty of Engineering, El-Asher University, El-Asher City, Egypt
Abstract:We are reporting the scaling behaviour of the bound state energies associated with the Hellmann potential, with different strength parameters, using the Laguerre basis. We show the existence of a crossover phenomenon for the energy spectrum; the scaling laws for bound states as we approach the continuum are calculated. Close to the bound–resonance phase transition region, state energies and wavefunctions for the Hellmann potential, with different strength parameters, have been studied.
Keywords:Hellmann potential  eigenvalues  critical parameter  J-matrix method  scaling  phase transitions
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