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arXiv 1002.2355physics.atom-ph
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反质子氦原子双光子laser跃迁几率和交流斯塔克位移的计算

Calculation of transition probabilities and ac Stark shifts in two-photon laser transitions of antiprotonic helium

Masaki Hori, Vladimir I. Korobov

摘要:

本文用数值从头算变分法计算了两束反向传输激光驱动下反质子氦原子双光子跃迁的跃迁几率和ac Stark位移。我们发现,亚多普勒光谱学在原理上是可能的,通过激发主量子数和角动量量子数n~L-1~35的反质子态之间的(n,L)->(n-2,L-2)类型的跃迁,首先通过使用强度为10^4-10^5 W/cm ^2的高度单色纳秒激光束,然后通过调整虚拟中间态接近(例如,在10-20 GHz内)到实态(n-1,L-1),以提高非线性跃迁概率。我们预计,几MHz或更大的交流斯塔克位移将成为系统误差的一个重要来源,其小数精度优于10 ^9的几分之一。原则上,通过选择激光强度和频率的最佳组合,可以最小化甚至消除这些偏移。我们模拟了\bar{p}^4 He^+和\bar{p} ^3 He ^+同位素在n=30-40区域的一些双光子跃迁的共振轮廓,以找到实现这一点的最佳条件。

英文摘要:

Numerical ab initio variational calculations of the transition probabilities and ac Stark shifts in two-photon transitions of antiprotonic helium atoms driven by two counter-propagating laser beams are presented. We found that sub-Doppler spectroscopy is in principle possible by exciting transitions of the type (n,L)->(n-2,L-2) between antiprotonic states of principal and angular momentum quantum numbers n~L-1~35, first by using highly monochromatic, nanosecond laser beams of intensities 10^4-10^5 W/cm^2, and then by tuning the virtual intermediate state close (e.g., within 10-20 GHz) to the real state (n-1,L-1) to enhance the nonlinear transition probability. We expect that ac Stark shifts of a few MHz or more will become an important source of systematic error at fractional precisions of better than a few parts in 10^9. These shifts can in principle be minimized and even canceled by selecting an optimum combination of laser intensities and frequencies. We simulated the resonance profiles of some two-photon transitions in the regions n=30-40 of the \bar{p}^4He^+ and \bar{p} ^3He^+ isotopes to find the best conditions that would allow this.

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