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A RELATIVISTIC MODEL FOR ALPHA-NUCLEUS ELASTIC SCATTERING

机译:原子核弹性散射的相对论模型

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摘要

It is the purpose of this paper to present the first relativistic description of alpha-nucleus elastic scattering using an optical model with the Duffin-Kemmer-Petiau (DKP) equation as the applicable wave equation. The DKP optical model potentials that are used are obtained by a folding procedure involving phenomenological Lorentz scalar and vector Dirac nucleon-nucleus potentials, In order to probe the DKP description of the alpha-nucleus interaction, we consider the elastic alpha-scattering on a range of nuclei over the 100 < E < 200 MeV energy range. The effective potential has, in its Schrodinger equivalent form, a linear energy dependence and differs from the form factors commonly used. We find that this model gives a good description of the elastic scattering data and reproduces the diffraction pattern and the exponential fall-off of the cross section beyond the rainbow region. The predictive power of the model is emphasized noting that all the energy dependence is inherently built into the model and no fits were thus necessary when going from one energy to the next. A comparison of the DKP model with non-relativistic models is also carried out highlighting the advantages of the relativistic approach over the non-relativistic one. [References: 25]
机译:本文的目的是使用光学模型(以Duffin-Kemmer-Petiau(DKP)方程作为适用的波动方程)来介绍α-核弹性散射的第一个相对论描述。所用的DKP光学模型电势是通过涉及现象学的洛伦兹标量和矢量Dirac核-核势的折叠过程获得的。为了探究DKP对α-核相互作用的描述,我们考虑在一定范围内进行弹性α散射在100

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