Two center shell model with Woods-Saxon potentials: adiabatic and diabatic states in fusion

Abstract

A realistic two-center shell model for fusion is proposed, which is based on two spherical Woods-Saxon potentials and the potential separable expansion method. This model describes the single-particle motion in a fusing system. A technique for calculating stationary diabatic states is suggested which makes use of the formal definition of those states, i.e., they minimize the radial nonadiabatic coupling between the adiabatic states. As an example the system ${}^{16}$O + ${}^{40}$Ca $\to$ ${}^{56}$Ni is discussed.

23 pages, 1 table, 9 figures, Accepted in Nuclear Physics A

References in corpus (3)

• Deformed two center shell model
• Modelling of compound nucleus formation in fusion of heavy nuclei
• Shell corrections for finite depth potentials with bound states only

Cited by in corpus (23)

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• Systematic investigations of deep sub-barrier fusion reactions using an adiabatic approach
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• Energy partition in low energy fission
• Solving the two-center nuclear shell-model problem with arbitrarily-orientated deformed potentials
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• Threshold Resonant Structure of the 232Th Neutron-Induced Fission Cross Section
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• Any J-state solution of the DKP equation for a vector deformed Woods-Saxon potential
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• Bound States of the Klein-Gordon Equation for Woods-Saxon Potential With Position Dependent Mass
• Critical coupling and coherent perfect absorption for ranges of energies due to a complex gain and loss symmetric system
• A semi-relativistic treatment of spinless particles subject to the nuclear Woods-Saxon potential
• Role of continuum in nuclear direct reactions with one-neutron halo nuclei: a one-dimensional model
• Tracing the dynamical interplay of low-energy reaction processes of exotic nuclei using a two-center molecular continuum
• Pre-scission neutron multiplicity associated with the dynamical process in superheavy mass region
• New and efficient method for solving the eigenvalue problem for the two-center shell model with finite-depth potentials
• Numerical solution of the Schrodinger equation for types of Woods-Saxon potential
• Astrophysical S-factor for ${}^{16}$O+${}^{16}$O within the adiabatic molecular picture
• A critical assessment of the current implementations of the Generator Coordinate Method