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Dynamical study of proton emission from deformed nuclei

Abstract : 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.
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http://hal.in2p3.fr/in2p3-00323814
Contributor : Ludovic Le Noan <>
Submitted on : Tuesday, September 23, 2008 - 11:48:35 AM
Last modification on : Friday, March 2, 2018 - 3:58:02 PM

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  • HAL Id : in2p3-00323814, version 1

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M. Rizéa, N. Carjan. Dynamical study of proton emission from deformed nuclei. Romanian Reports in Physics, Editura Academiei Române, 2008, 60, pp.27-44. ⟨in2p3-00323814⟩

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