Line-shape effects in the measurement of the positronium hyperfine interval
Line-shape effects in the measurement of the positronium hyperfine interval
复制标题
正电子超精细间隔测量中的线形效应
DOI：
10.1103/physreva.27.262
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发表时间：
1983
影响因子：
2.9
通讯作者：
A. Mills
中科院分区：
文献类型：
--
作者：
A. Mills
最近Rich指出，对于n = 1的正电子偶素，有效4 × 4哈密顿量H中的湮没项使塞曼本征值的真实的部分移动了（λ/sub s//4...）pi delta nu..）/ sup 2/大致等于10/sup-5/相对于Breit-Rabi特征值。这里λ/sub s/是单重态的湮灭率，delta nu..是超精细间隔。Rich表示，delta nu..测量没有正确地处理衰变。塞曼共振线的形状计算在这里假设非厄米特H描述的运动的四个n = 2的水平通过薛定谔方程。这种线的形状从洛伦兹的偏差被展出。线的不对称性导致线中心相对于从Breit-Rabi加Lorentzian拟合到测量的塞曼共振曲线所获得的线中心的偏移。考虑到这一点，测量... delta nu..（A.小P·米尔斯和g. H. Beaman，Phys. Rev. Lett. 34，246（1975））应增加2.5ppm至100ppm。delta nu..（米尔斯和Beaman）= 203.3875（16）GHz。当埃根等测量（P.O.埃根Hughes和M. H. Yam，Phys.Rev.more » A 15，251（1971）），其使用不同的线形，根据这里计算的线形重新解释，埃根等人。delta nu..值增加21 ppm至.. delta nu..埃根等人= 203.3890（12）GHz。两个校正测量值的加权平均值为。delta nu.. = 203.3885（10）GHz。«少
Recently Rich has pointed out that annihilation terms in the effective 4 x 4 Hamiltonian H for n = 1 positronium cause the real parts of the Zeeman eigenvalues to be shifted by terms of order (lambda/sub s//4..pi delta nu..)/sup 2/roughly-equal10/sup -5/ relative to the Breit-Rabi eigenvalues. Here lambda/sub s/ is the annihilation rate of the singlet state and ..delta nu.. is the hyperfine interval. Rich observes that the ..delta nu.. measurements have not correctly dealt with decay. The Zeeman-resonance line shape is calculated here assuming that the non-Hermitian H describes the motion of the four n = 2 levels via Schroedinger's equation. The deviations of this line shape from a Lorentzian are exhibited. The asymmetry of the line causes a shift in the line center relative to what one would obtain from a Breit-Rabi plus Lorentzian fit to a measured Zeeman-resonance curve. To take this into account, the measurement of ..delta nu.. (A. P. Mills, Jr. and G. H. Beaman, Phys. Rev. Lett. 34, 246 (1975)) should be increased by 2.5 ppm to ..delta nu.. (Mills and Beaman) = 203.3875(16) GHz. When the Egan et al. measurement (P. O. Egan, V. W. Hughes, and M. H. Yam, Phys. Rev.more » A 15, 251 (1971)), which used a different line shape, is reinterpreted in terms of the line shape calculated here, the Egan et al. ..delta nu.. value increases by 21 ppm to ..delta nu.. Egan et al. = 203.3890(12) GHz. The weighted mean of the two corrected measurements is ..delta nu.. = 203.3885(10) GHz.« less