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Proton scattering from excited states of atomic hydrogen

机译：来自原子氢的激发态的质子散射

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摘要

Wavepacket continuum-discretisation approach is used to calculate excitation, ionization and electron-capture (ec) cross sections for proton collisions with n = 2 states of atomic hydrogen, where n is the principal quantum number. The approach assumes a classical motion for the projectile and is based on the solution of the three-body Schrodinger equation using the two-center expansion of the total scattering wave function. The scattering wave function is expanded in an orthonormal basis set built from negative-energy eigenstates and wavepacket pseudostates representing the continuum of both the target atom and the atom formed by the projectile after capturing the electron. With a sufficiently large basis, due to the strong coupling between channels, the method produces converged cross sections for direct-scattering, ionization and ec processes simultaneously. For the quasi-elastic transitions, where both orbital and magnetic quantum numbers change, the integrated cross section is infinite. Nevertheless, the corresponding transitions probabilities are finite at any given impact parameter, indicating that the angular differential cross sections can be measured. Calculated cross sections for scattering on the metastable 2s state are compared with other theoretical results obtained using atomic-orbital close-coupling and classical-trajectory Monte Carlo approaches. Considerable disagreement with previous calculations has been found for some transitions at various incident energies.
机译：WavePacket连续性离散方法用于计算与N = 2个原子氢的质子碰撞的激发，电离和电子捕获（EC）横截面，其中N是主要量子数。该方法假设射弹的经典运动，并且基于使用总散射波函数的双中心扩展的三体Schrodinger方程的解决方案。散射波函数以正常的基础设定膨胀，由负能量特征酯，并且在捕获电子之后表示由射弹之后形成的目标原子的连续体和由射弹形成的原子的连续件。由于通道之间的强耦合，因此，该方法同时产生用于直接散射，电离和EC工艺的聚合横截面。对于准弹性过渡，其中轨道和磁性量子数发生变化，集成的横截面是无限的。然而，相应的转换概率在任何给定的冲击参数处是有限的，表明可以测量角差分横截面。将用于散射在亚稳态2S状态上的计算横截面与使用原子轨道近耦合和经典轨迹蒙特卡罗方法获得的其他理论结果进行比较。已经发现与以前的计算的相当大的分歧是在各种事件能量的某些过渡中找到了。

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