论文标题
Delbrück散射到$αz$中的所有订单的计算
Calculations of Delbrück scattering to all orders in $αZ$
论文作者
论文摘要
我们提出了一种计算Delbrück散射幅度的理论方法。我们的形式主义基于确切的分析狄拉克 - 库仑格林的功能，因此，说明了虚拟电子峰值对与核与所有顺序（包括库仑校正）的相互作用。通过求解在渐近区域中分析涉及的径向积分来加速我们计算的数值收敛性。将光子与能量102.2 keV碰撞的数值结果和255.5 keV与裸霓虹灯和铅核的255.5 keV与最低阶生生近似的预测进行了比较。我们发现我们的方法可以在合理的计算时间内产生准确的结果，并且库仑校正将Delbrück振幅的绝对值提高了几％，而研究的光子能量则增加了百分之几。
We present a theoretical method to calculate Delbrück scattering amplitudes. Our formalism is based on the exact analytical Dirac-Coulomb Green's function and, therefore, accounts for the interaction of the virtual electron-positron pair with the nucleus to all orders, including the Coulomb corrections. The numerical convergence of our calculations is accelerated by solving the radial integrals that are involved analytically in the asymptotic region. Numerical results for the collision of photons with energies 102.2 keV and 255.5 keV with bare neon and lead nuclei are compared with the predictions of the lowest-order Born approximation. We find that our method can produce accurate results within a reasonable computation time and that the Coulomb corrections enhance the absolute value of the Delbrück amplitude by a few percent for the studied photon energies.
