合成极缺中子锕系区新核素、探索N=126中子闭壳演化是兰州重离子加速器（HIRFL）的核心研究工作之一。本项目将配合相关实验研究计划，开展原子核同质异能态及α衰变的系统理论研究，具体包括：1）发展恢复转动对称性的推转壳模型（CSM）下的粒子数守恒方法(PNC)；2）拟合确定一组能够广泛描述目标核区原子核基态与激发态性质的Nilsson平均场相互作用参数；3）应用CSM－PNC方法系统研究中子N＝126附近缺中子核素的同质异能态；4）应用考虑量子微观效应的半经验α衰变模型研究中子N＝126附近缺中子核的禁戒α衰变；5）应用双核模型研究212Po及附近原子核的α衰变预形成因子。通过本项目的研究工作，将得到进一步优化发展的理论模型；加深人们对远离β稳定线核素原子核结构和衰变性质的认识；为实验建议研究目标核并解释实验数据。

To synthesize the very neutron-deficient nuclides and explore the evolution of nuclear shell closure around neutron major shell N=126 is one of the core scientific targets in the Heavy Ion Research Facility in Lanzhou (HIRFL). To coordinate the experimental research works in HIRFL, we will study the nuclear isomeric state and α-decay in the neutron-deficient nuclei around neutron N=126 shell closure systematically. The main contents include: 1) to develop the cranked shell model (CSM) with pairing correlation treated by a particle-number conserving (PNC) method with rotational symmetry restored; 2) to obtain a new set of Nilsson parameters for these mass regions with wider application for both of nuclear ground and exited states; 3) to investigated the nuclear isomeric states by using CSM-PNC in neutron-deficient nuclei around neutron N=126 shell closure; 4) to study the unflavored α-decay lifetimes by including the effect of the quantum number of the α-core relative motion in neutron-deficient nuclei around neutron N=126 shell closure; 5) to investigated the α particle preformation probability in 212Po by using Di-nuclear system model. These researches will lead to a deeper understanding of the nuclear structure and decay properties in the exotic nuclei far from the β-stable line; the theoretical nuclear models will be developed with wider application and more powerful prediction; the theoretical investigation will give the microscopic explanation of the experimental data in HIRFL and suggest the proper nuclides to be studied in the experiment.