RIZÉA, M.; CARJAN, N.

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RIZÉA, M.

CARJAN, N.
Centre d'Etudes Nucléaires de Bordeaux Gradignan [CENBG]

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Romanian Reports in Physics. 2008, vol. 60, p. 27-44

Editura Academiei Române

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The most intuitive and direct way to study proton emission from unbound nuclear states is to start with a proton wave packet localized inside the well of the p-nucleus interacting potential and follow its time evolution by solving numerically the time-dependent Schrödinger equation (TDSE). Then the physical properties of the decaying system can be inferred from its solution. The most important calculable quantities are: the tunneling probability and the decay rate. In the present paper we consider bi-dimensional axially symmetric nuclear shapes, allowing the treatment of both spherical and deformed nuclei. The solution of TDSE is obtained by the Crank-Nicolson method. We discuss also the treatment of numerical boundary conditions, the preparation of the initial wave function as a quasi-stationary state and the calculation of the decay rate using the flux. In application we reveal the influence of the deformation on the decay rate.< Réduire

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Centre d'Études Nucléaires de Bordeaux Gradignan (CENBG)