Quantum defect model of a reactive collision at finite temperature
Quantum defect model of a reactive collision at finite temperature
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有限温度下反应碰撞的量子缺陷模型
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
Z. Idziaszek
中科院分区：
文献类型：
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作者：
K. Jachymski;M. Krych;P. Julienne;Z. Idziaszek
我们考虑与幂律势相互作用的粒子的非弹性碰撞的一般问题。利用量子缺陷理论，推导出了与能量相关的复散射长度的解析公式，该公式适用于任意碰撞能量，并用于分析弹性和反应性碰撞速率。我们的理论适用于普遍和非普遍的碰撞。前者为近距离单位反应概率，后者为小于1的反应概率。在高能极限下，我们提出了一种方法，允许将量子修正纳入由于形状共振和量子隧穿引起的经典反应速率。
We consider a general problem of inelastic collision of particles interacting with power-law potentials. Using quantum defect theory we derive an analytical formula for the energy-dependent complex scattering length, valid for arbitrary collision energy, and use it to analyze the elastic and reactive collision rates. Our theory is applicable for both universal and non-universal collisions. The former corresponds to the unit reaction probability at short range, while in the latter case the reaction probability is smaller than one. In the high-energy limit we present a method that allows to incorporate quantum corrections to the classical reaction rate due to the shape resonances and the quantum tunneling.