Radiation transport codes require accurate nuclear cross sections to compute particle fluences inside shielding materials. The Tripathi semi-empirical reaction cross section, which includes over 60 parameters tuned to nucleon-nucleus (NA) and nucleus-nucleus (AA) data, has been used in many of the world's best-known transport codes. Although this parameterization fits well to reaction cross section data, the predictive capability of any parameterization is questionable when it is used beyond the range of the data to which it was tuned. Using uncertainty analysis, it is shown that a relativistic Three-Dimensional Lippmann-Schwinger (LS3D) equation model based on Multiple Scattering Theory (MST) that uses 5 parameterizations---3 fundamental parameterizations to nucleon-nucleon (NN) data and 2 nuclear charge density parameterizations---predicts NA and AA reaction cross sections as well as the Tripathi cross section parameterization for reactions in which the kinetic energy of the projectile in the laboratory frame ($T_{\rm Lab}$) is greater than 220 MeV/n. The relativistic LS3D model has the additional advantage of being able to predict highly accurate total and elastic cross sections. Consequently, it is recommended that the relativistic LS3D model be used for space radiation applications in which $T_{\rm Lab}>$ 220 MeV/n.
Coulomb Breakup Reactions in Complex-Scaled Solutions of the Lippmann-Schwinger Equation
本文提出了一种描述核三体破裂的新方法,该方法结合复标度法求解Lippmann-Schwinger方程。Lippmann-Schwinger方程(CSLS)的复尺度解使我们能够正确地处理多体明渠的边界条件,并从基态描述多体破裂振幅。用CSLS方法计算了从6 He基态到4 He +n+n三体衰变态的库仑破碎截面随总激发能的变化,计算结果与实验数据吻合较好.此外,还得到了E1跃迁强度的二维能量分布,证实了5 He(3/2-)共振的重要性。结果表明,CSLS是研究弱束缚核三体破裂反应中各子系统关联的一种很有前途的方法。
A Practical Method to Solve Cut-off Coulomb Problems in the Momentum Space -- Application to the Lippmann-Schwinger Resonating-Group Method and the pd Elastic Scattering --