Unitary correlation in nuclear reaction theory: Separation of nuclear reactions and spectroscopic factors
Unitary correlation in nuclear reaction theory: Separation of nuclear reactions and spectroscopic factors
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核反应理论中的酉相关：核反应与光谱因素的分离
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
A. Kadyrov
中科院分区：
文献类型：
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作者：
A. Mukhamedzhanov;A. Kadyrov
未来精确的多体理论将允许我们基于所采用的$\mathit{NN}$和多体核势来计算核反应。但是$\mathit{NN}$势是不可观测的，并且有无限数量的相等效$\mathit{NN}$势通过有限范围酉变换相关。我们证明了渐近归一化系数，即重叠函数的渐近尾部的振幅，在有限范围幺正变换下是不变的，而谱因子则不是。我们还证明了$(d,p),(d,\mathit{pn})$和$(e,{e}^{\ensuremath{'}}p)$反应的确切振幅在有限范围幺正变换下是不变的，与光谱因子相反，这些反应决定了相应通道中精确散射波函数的渐近行为。此外，精确反应的振幅没有根据光谱因子参数化，而精确方法中的核反应不能提供一种工具来确定不可观测的光谱因子。
Future exact many-body theory will allow us to calculate nuclear reactions based on the adopted $\mathit{NN}$ and many-body nuclear potentials. But $\mathit{NN}$ potentials are not observable and there are an infinite number of the phase-equivalent $\mathit{NN}$ potentials related via finite-range unitary transformations. We show that asymptotic normalization coefficients, which are the amplitudes of the asymptotic tails of the overlap functions, are invariant under finite-range unitary transformations but spectroscopic factors are not. We prove also that the exact amplitudes for the $(d,p),(d,\mathit{pn})$, and $(e,{e}^{\ensuremath{'}}p)$ reactions determining the asymptotic behavior of the exact scattering wave functions in the corresponding channels, in contrast to spectroscopic factors, are invariant under finite-range unitary transformations. Moreover, the exact reaction amplitudes are not parametrized in terms of the spectroscopic factors and nuclear reactions in the exact approach cannot provide a tool to determine spectroscopic factors which are not observable.