Spin exchange optical pumping is an efficient technique to obtain large quantities of hyperpolarized 129Xe nuclei. The spin oscillating perturbation theory for spin exchange optical polarized 129Xe nuclei is established in this paper. The theoretical framework relies on the perturbation method of the steady state solution to derive the rate equations and analytical solutions of 129Xe nuclear spin. This model gives rise to a novel fast determination of longitudinal relaxation time T1for the hyperpolarized 129Xe nuclei. This direct measurement method is applied to the 129Xe in the gas phase and reduces the time consuming than the conventional inversion-recovery method. The method exhibits potential role in the development of the samples with long longitudinal relaxation time.
The spin oscillator has been widely used in the field of frontier science, and it is of great significance to research its properties. The purpose of this paper is to analyze the noise performance of the spin oscillator system and discover the influence of the filter on the self-excited closed-loop system. We consider to set three noise points at My, Bz, Bx respectively. When SNRMy =104; SNRBz =107; SNRBx =104, we can meet the standard deviation accuracy at 0.1μHz. On this condition. The effect of the filter is discussed that the bandwidth is linearly related to the frequency offset. Besides, a scheme has been proposed to guarantee a high precision phase compensation tracking when the center frequency is changed.
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