Radiation Biophysics Group, Department of Oncology-Pathology, Karolinska Institutet, SE-17176 Stockholm, Sweden.
Phys Med Biol. 2013 Feb 7;58(3):641-72. doi: 10.1088/0031-9155/58/3/641. Epub 2013 Jan 14.
The paper presents calculated cross sections for bare and dressed carbon projectiles of charge states q (0 to 6) with energies 1-10(4) keV u(-1) impacting on molecular water and atomic neon targets. The cross sections of water are of interest for radiobiological studies, but there are very few experimental data for water in any phase, while those for liquid water are non-existent. The more extensive experimental database for the neon target made it possible to test the reliability of the model calculations for the many-electron collision system. The current calculations cover major single and double electronic interactions of low and intermediate energy carbon projectiles. The three-body classical trajectory Monte Carlo (CTMC) method was used for the calculation of one-electron transition probabilities for target ionization, electron capture and projectile electron loss. The many-electron problem was taken into account using statistical methods: a modified independent event model was used for pure (direct) and simultaneous target and projectile ionizations, and the independent particle model for pure electron capture and electron capture accompanied by target ionization. Results are presented for double differential cross sections (DDCS) for total electron emission by carbon projectile impact on neon. For the water target, we present the following: single differential cross sections (SDCS) and DDCS for single target ionization; total cross sections (TCS) for electron emission; TCS for the pure single electronic interactions; equilibrium charge state fractions; and stopping cross sections. The results were found to be in satisfactory agreement with the experimental data in many cases, including DDCS and SDCS for the single target ionization, TCS for the total electron emission and TCS for the pure single electron capture. The stopping cross sections of this work are consistent with the other model calculations for projectile energies ≥800 keV u(-1), but smaller than the other calculations at lower energies. The discrepancy arises from the inclusion of all carbon charge states and coupling between electron capture and target ionization channels, while other models use an average projectile charge. The CTMC model presented here provides a tool for cross section calculations for low and intermediate energy carbon projectiles. The calculated cross sections are required for Monte Carlo track structure simulations of full-slowing-down tracks of carbon ions. The work paves the way for biophysical studies and dosimetry at the cellular and subcellular levels in the Bragg peak area of a therapeutic carbon ion beam.
本文给出了带电荷态 q(0 到 6)的裸碳和 dressed 碳射弹以 1-10(4)keV u(-1)的能量撞击分子水和原子氖靶的计算截面。水的截面对于放射生物学研究很有意义,但任何相态的水的实验数据都非常少,而液态水的实验数据则不存在。氖靶的更广泛的实验数据库使得测试多电子碰撞体系模型计算的可靠性成为可能。当前的计算涵盖了低能和中能碳射弹的主要单电子和双电子相互作用。对于目标电离、电子俘获和射弹电子损失,采用三体经典轨迹蒙特卡罗(CTMC)方法计算单电子跃迁概率。采用统计方法考虑多电子问题:修正的独立事件模型用于纯(直接)和同时的目标和射弹电离,而独立粒子模型用于纯电子俘获和伴随目标电离的电子俘获。给出了碳射弹撞击氖时总电子发射的双微分截面(DDCS)的结果。对于水靶,我们给出了以下结果:单靶电离的单微分截面(SDCS)和 DDCS;电子发射的总截面(TCS);纯单电子相互作用的 TCS;平衡电荷态分数;和阻止截面。在许多情况下,结果与实验数据非常吻合,包括单靶电离的 DDCS 和 SDCS、总电子发射的 TCS、纯单电子俘获的 TCS。在这个工作中,停止截面与其他模型计算在能量≥800 keV u(-1)时是一致的,但在较低能量时与其他计算结果不同。这种差异来自于包括所有碳电荷态和电子俘获与目标电离通道之间的耦合,而其他模型则使用平均射弹电荷。本文提出的 CTMC 模型为低能和中能碳射弹的截面计算提供了工具。计算截面是对碳离子全慢化轨道的蒙特卡罗轨迹结构模拟所必需的。这项工作为治疗碳离子束布拉格峰区的细胞和亚细胞水平的生物物理研究和剂量学奠定了基础。