Fission Barriers of Actinide Isotopes in the Exactly Solvable Pairing Model

In this paper, we investigate the impact of pairing correlations on the fission barriers of Th, Pa, U, Np, Pu, Am, Cm, Bk, and Cf isotopes using an exactly solvable pairing model. Our results show that the pairing correlation plays a crucial role in determining the fission barrier height. Specifically, we find that the role of neutron and proton pairing in fission barrier heights is not universal across all isotopes, and the exact nature of the interaction depends on the specific isotopes being studied. Our calculated barrier heights are consistent with experimental data, and we propose using the odd-even mass difference(ground-state properties) and barrier height(excited-state properties) as experimentally observable quantities to determine the pairing interaction strengths in the fission process.