Abstract
At low incident energies of nucleon-induced reaction cross sections exhibit a striking resonance structure which cannot properly be described by (semi-) microscopic models. Usually R-matrix theory is applied which provides a sufficiently accurate but phenomenological description of the resonance region. However, standard R-matrix theory is only suited for two-particle channels. Three- and many-particle channels which may occur at rather low incident energies and are usually treated in approximative or effective way. In this contribution an extension to unequal masses of the R-matrix formulation of Glockle based on the Faddeev equation is performed and proper expressions for numerical implementation are given.
Highlights
A good knowledge of nuclear reaction cross sections is an important prerequisite for the design of nuclear devices and the development of novel nuclear technologies, and for several applications e.g. materials science, nuclear medicine, geology and space research
In this contribution an extension to unequal masses of the R-matrix formulation of Glöckle based on the Faddeev equation is performed and proper expressions for numerical implementation are given
At low incident energies the reaction cross sections exhibit striking resonance structures associated with manynucleon effects
Summary
A good knowledge of nuclear reaction cross sections is an important prerequisite for the design of nuclear devices and the development of novel nuclear technologies, and for several applications e.g. materials science, nuclear medicine, geology and space research. There exists a worldwide effort to establish nuclear data libraries which represent our best knowledge of reaction cross sections. At low incident energies the reaction cross sections exhibit striking resonance structures associated with manynucleon effects These phenomena cannot be properly reproduced by (semi-)microscopic nuclear models. The concept of standard R-matrix theory is only based on two-particle reaction channels. In this contribution we focus on the extension of this formalism to channels with three particles of unequal mass in s-wave states. After this introduction we briefly revisit in Sect.
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