Abstract
We propose to use the Continuum Discretized Coupled Channels approach to describe both the differential cross sections and the excitation fonctions for the (d,p) reactions.
Highlights
Just after the discovery of radioactivity, it was realized that nuclear reactions can be used to explore the structure of nuclei
Within this model ( known as the Continuum Discretized Coupled Channels (CDCC) approach), the total wave function of the deuteron+target system is expanded into a sum of states describing the elastic channel and breakup ones and the cross sections for each channel are derived by solving a set of coupled differential equations
To compute the direct component, it is firstly necessary to know all the states that will be populated by the transfer and for each level, the associated cross section σln, jn (Ex,i, Ed) has to be computed which can be done by integrating the differential cross section: σln, jn (Ex,i, Ed) =
Summary
Just after the discovery of radioactivity, it was realized that nuclear reactions can be used to explore the structure of nuclei. It is due to the fact that, for these reactions, many processes (such as direct and multistep transfer, elastic and inelastic breakup...) can occur and will compete and interfere to produce the same compound nucleus. Watanabe [2] proposed to build the deuteron optical potential by folding the projectile wave function with the nucleon-target optical potentials in order to reproduce the elastic cross section. Within this model ( known as the Continuum Discretized Coupled Channels (CDCC) approach), the total wave function of the deuteron+target system is expanded into a sum of states describing the elastic channel and breakup ones and the cross sections for each channel are derived by solving a set of coupled differential equations. Starting from some CDCC calculations, we will propose a semi-phenomenological method to compute the (d,p) excitation functions
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