Perturbation theory and the longitudinal relaxation time T_1 measurement for spin exchange optical polarized ~(129)Xe

摘要

Spin exchange optical pumping is an efficient technique to obtain large quantities of hyperpolarized ~(129)Xe nuclei. The spin oscillating perturbation theory for spin exchange optical polarized ~(129)Xe 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 ~(129)Xe nuclear spin. This model gives rise to a novel fast determination of longitudinal relaxation time T_1 for the hyperpolarized ~(129)Xe nuclei. This direct measurement method is applied to the ~(129)Xe 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.