Calculation of heavy ion e+ e- pair production to all orders in Z alpha

Calculation of heavy ion e+ e- pair production to all orders in Z alpha
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计算 Z α 中所有订单的重离子 e e 对产量

DOI:
10.1103/physrevc.71.024901
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发表时间:
2004
期刊:
影响因子:
3.1
通讯作者:
A. Baltz
A. Baltz
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A. Baltz

文献摘要

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连续谱 e+ e- 对产生的重离子总截面已针对 Z α 中的所有阶进行了计算。对半经典狄拉克方程在超相对论极限下的精确解所得出的公式进行了数值评估。利用重离子势的能量依赖空间截止,得出与超相对论微扰极限中已知的微扰公式一致的精确公式。评估 SPS、RHIC 和 LHC 能量下重离子束的横截面和样品动量分布。根据微扰理论发现,随着碰撞重离子电荷的增加以及对于所研究的所有能量和动量区域,e+电子对产生概率会降低。
The heavy ion total cross section for continuum e+ e- pair production has been calculated to all orders in Z alpha. The formula resulting from an exact solution of the semiclassical Dirac equation in the ultrarelativistic limit is evaluated numerically. An energy dependent spatial cutoff of the heavy ion potential is utilized, leading to an exact formula agreeing with the known perturbative formula in the ultrarelativistic, perturbative limit. Cross sections and sample momentum distributions are evaluated for heavy ion beams at SPS, RHIC, and LHC energies. e+ e- pair production probabilities are found to be reduced from perturbation theory with increasing charge of the colliding heavy ions and for all energy and momentum regions investigated.