Solving the two-center nuclear shell-model problem with arbitrarily-orientated deformed potentials

Abstract

A general new technique to solve the two-center problem with arbitrarily-orientated deformed realistic potentials is demonstrated, which is based on the powerful potential separable expansion method. As an example, molecular single-particle spectra for ${}^{12}$C + ${}^{12}$C $\to$ ${}^{24}$Mg are calculated using deformed Woods-Saxon potentials. These clearly show that non-axial symmetric configurations play a crucial role in molecular resonances observed in reaction processes for this system at low energy.

References in corpus (7)

• Deformed two center shell model
• Evaluation of Spectra of Baryons Containing Two Heavy Quarks in Bag Model
• Two center shell model with Woods-Saxon potentials: adiabatic and diabatic states in fusion
• Effects of nuclear molecular configurations on the astrophysical S-factor for ${}^{16}$O + ${}^{16}$O
• Modelling of compound nucleus formation in fusion of heavy nuclei
• Shell corrections for finite depth potentials with bound states only
• Alpha particle production by molecular single-particle effect in reactions of ${}^9$Be just above the Coulomb barrier

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• Pairing gaps and Fermi energies at scission for 296Lv alpha-decay
• Role of continuum in nuclear direct reactions with one-neutron halo nuclei: a one-dimensional model
• Combined few-body and mean-field model for nuclei
• Tracing the dynamical interplay of low-energy reaction processes of exotic nuclei using a two-center molecular continuum
• New and efficient method for solving the eigenvalue problem for the two-center shell model with finite-depth potentials
• Two-center harmonic oscillator basis for Skyrme-DFT calculations (I): formalism and Proof of Principle