Perturbation theory and the longitudinal relaxation time T1 measurement for spin exchange optical polarized 129Xe

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 129Xe 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.