论文标题
状态到状态积分横截面的复杂角动量理论：F+HD-> HF（V'= 3）+D反应中的共振效应
Complex angular momentum theory of state-to state integral cross sections: resonance effects in the F+HD->HF(v'=3)+D reaction
论文作者
论文摘要
状态到状态的反应性积分截面（IC）通常受量子机械共振的影响，尤其是在相对较低的能量下。通常通过以给定能量值的局部波求和来获得IC。因此，复杂能平面中极点位置和残基的知识不足以定量描述共鸣产生的模式。这种描述可根据总角动量的复杂平面中的S-Matrix元素的极点进行。该方法最近在计算机代码ICS_REGGE中实现，该方法在公共域中可用[Comp。物理。通讯。 185（2014）2127]。在本文中，我们采用ICS Regge软件包对基准F+HD-> HF（V'= 3）+D反应的积分横截面（IC）进行了详细分析。 V = 0，J = 0，Omega = 0-> V'= 3，J'= 0,1,2，Omega'= 0,1,2转换，用于从58.54到197.54 MEV的碰撞能量。对于这些能量，我们发现了几种共鸣，其对IC的贡献从对称和不对称的Fano形状到平滑的正弦曲线振荡不等。通过散射矩阵元件的填充 /重建，可以找到亚稳态和恢复杆位置和残基的复杂能量。还讨论了ICS Regge代码的准确性，复杂的能量与Regge杆之间的关系，各种类型的Regge轨迹以及J转移近似的起源。
State-to-state reactive integral cross sections (ICS) are often affected by quantum mechanical resonances, especially at relatively low energies. An ICS is usually obtained by summing partial waves at a given value of energy. For this reason, the knowledge of pole positions and residues in the complex energy plane is not sufficient for a quantitative description of the patterns produced by a resonance. Such description is available in terms of the poles of an S-matrix element in the complex plane of the total angular momentum. The approach was recently implemented in a computer code ICS_Regge, available in the public domain [Comp. Phys. Comm. 185 (2014) 2127]. In this paper, we employ the ICS Regge package to analyse in detail, for the first time, the resonance patterns predicted for the integral cross sections (ICS) of the benchmark F+HD->HF(v'=3)+D reaction. The v = 0, j = 0, Omega = 0 -> v' = 3, j'= 0,1,2, and Omega' = 0,1,2 transitions are studied for collision energies from 58.54 to 197.54 meV. For these energies, we find several resonances, whose contributions to the ICS vary from symmetric and asymmetric Fano shapes to smooth sinusoidal Regge oscillations. Complex energies of metastable states and Regge pole positions and residues are found by Pad /'e reconstruction of the scattering matrix elements. Accuracy of the ICS Regge code, relation between complex energies and Regge poles, various types of Regge trajectories, and the origin of the J-shifting approximation are also discussed.
