Oscillator parameters in nuclei |
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| Institution: | 1. Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USA;2. Nuclear Physics Institute, 250 68 Řež, Czech Republic;1. Physics Department, University of Notre Dame, Notre Dame, IN 46556, USA;2. Dipartimento di Fisica, Università degli Studi di Milano, via Celoria 16, 20133 Milano, Italy;3. INFN, Sezione di Milano, via Celoria 16, 20133 Milano, Italy;1. Amity Institute of Nuclear Science and Technology, Amity University UP, 201313, Noida, India;2. Department of Physics, Indian Institute of Technology Ropar, 140001, Rupnagar, India |
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| Abstract: | The dependence on nucleon numbers of the harmonic oscillator length parameter b or energy spacing ℏω in nuclei is determined, using an extensive tabulation of nuclear charge radii and an empirical expression for the difference between proton and neutron radii. Various possible constraints on the parameters or radii are discussed. Alternative parametrizations are compared and a preferred “universal” parametrization is proposed. It is argued that the established Blomqvist–Molinari formula is perfectly adequate for determining the oscillator parameter for specific applications. |
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