1997年，物理学家从理论上预言了核物理中的一种新的对称性，即手征对称性。自此，原子核物理中又开辟了一个全新的热点研究领域。粒子转子模型被广泛用于手征对称性的研究。为了更好地描述手征对称性的可观测物理量，本文首先在粒子转子模型的基础上，引入了剩余相互作用，即质子中子相互作用，发展了包含质子中子剩余相互作用的粒子转子模型程序（PRM+Vpn）。利用该模型对198Tl 以及126Cs 的手征双重带进行研究，计算了包括能谱，能量振荡因子，电磁跃迁等物理量。研究表明，考虑了质子中子剩余相互作用后，计算得到的能量振荡因子的相位与实验值符合更好。进一步地利用微扰展开的方法，将质子中子相互作用视为一种扰动，来理解质子中子相互作用对能量振荡因子的影响。

Physicists theoretically predicted a new symmetry in nuclear physics in 1997，which called chiral symmetry. Thereafter, a new hot field has been opened up in nuclear physics. Particle rotor model is widely used in the study of chiral symmetry. Above all, based on the particle rotor model, this paper introduces the residual interaction, proton neutron interaction, and develops the particle rotor model program (PRM + VPN) which includes the residual interaction of proton and neutron to better describe the observable physical quantities of chiral symmetry. In this paper, the chiral double bands of198Tl and126Cs are studied by using the newly developed physical model. The results show that the calculated phase of the energy oscillation factor is in better agreement with the experimental value after considering the proton neutron residual interaction. Furthermore, the proton neutron interaction is regardedas a kind of disturbance by using the perturbation expansion method, and the influ-ence of proton neutron interaction on the energy oscillation factor is explained to a certain extent.