Abstract
Algebraic version of the orthogonality conditions model is developed by analogy with the algebraic version of the resonating group model. It is shown that all exchange terms excluding ones originated by the exchange kernel of the potential energy can be easily taken into account in the frame of the formalism of the version. The potential term as a whole is modelled phenomenologically. Both direct algebraic approach and the method basing on the solution of the integro-differential Schrodinger equation containing nonlocal terms related to the forbidden and the semi-forbidden states are proposed. This equation turns out to be preferable in studies of narrow resonances. It is demonstrated that decay width of a system into two-heavy-fragment channel is strongly affected by the nonlocal terms.
Highlights
The traditional view on the interaction of two particles is to consider it in terms of a local potential model independently of the structure of interacting particles
Algebraic version of the orthogonality conditions model is developed by analogy with the algebraic version of the resonating group model
It is shown that all exchange terms excluding ones originated by the exchange kernel of the potential energy can be taken into account in the frame of the formalism of the version
Summary
The traditional view on the interaction of two particles is to consider it in terms of a local potential model independently of the structure of interacting particles. In addition the integrodifferential equation of the Schrödinger type with a Hermitian Hamiltonian containing nonlocal terms related to the forbidden by the Pauli principle and so-called “semi-forbidden” states is obtained. This “comeback” to the methods of the continuous mathematics turns out to be rather convenient in description of the widths of narrow resonances decaying into cluster-cluster channels. The pair of magic fragments 16O + 16O is considered as an example
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