arXiv 1405.61512014-05-23nucl-th

核-核韧致辐射势模型的比较

Comparison of potential models of nucleus-nucleus bremsstrahlung

Jérémy Dohet-Eraly, Daniel Baye

备注：: submitted to Phys. Rev. C
发表信息：: Phys Rev C 90, 2014, 034611
DOI：: 10.1103/PhysRevC.90.034611

摘要：

在低光子能量下，核-核韧致辐射的势模型是基于电跃迁多极算符的，该算符或者仅由核电流导出，或者仅由电荷密度通过长波长近似和Siegert定理导出。在后一种情况下，韧致辐射矩阵元素是发散的，并且使用一些正则化技术来获得韧致辐射截面的有限值。本文从Siegert定理的推广出发，导出了一个新的核-核韧致辐射势模型。这种方法只包括收敛积分。在这些不同的模型中得到的韧致辐射截面之间的正式联系。此外，三种不同的方法来计算正则化矩阵元素进行了讨论和批评。一些处方的正则化的适当实施推导。不同的模型之间的数值比较是通过将它们应用到$α+α$韧致辐射。

英文摘要：

At low photon energies, the potential models of nucleus-nucleus bremsstrahlung are based on electric transition multipole operators, which are derived either only from the nuclear current or only from the charge density by making the long-wavelength approximation and using the Siegert theorem. In the latter case, the bremsstrahlung matrix elements are divergent and some regularization techniques are used to obtain finite values for the bremsstrahlung cross sections. From an extension of the Siegert theorem, which is not based on the long-wavelength approximation, a new potential model of nucleus-nucleus bremsstrahlung is developed. Only convergent integrals are included in this approach. Formal links between bremsstrahlung cross sections obtained in these different models are made. Furthermore, three different ways to calculate the regularized matrix elements are discussed and criticized. Some prescriptions for a proper implementation of the regularization are deduced. A numerical comparison between the different models is done by applying them to the $α+α$ bremsstrahlung.

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英文摘要：

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