复标度方法对原子核单粒子共振态的研究

Research on the single-particle resonant states by the complex scaling method

在相对论平均场理论框架下,利用复标度方法研究了Zr同位素的单粒子共振问题.以^(122)Zr为例,演示了复标度方法确定共振态的具体步骤,确定了^(122)Zr所有可能共振态的能量和宽度,以及相应共振态的复标度波函数,并与耦合常数的解析延拓方法进行了比较.在此基础上,进一步系统研究了Zr同位素的共振问题,获得了与散射相移方法一致的结果.

In the framework of the relativistic mean field（RMF） theory,the single-particle resonant states for spherical nuclei are studied by the complex scaling method.Taking 122Zr for example,we demonstrae the calculated details,and the obtained energies,widths,and wave functions for all the possiable resonant states.The results are in good agreement with those from the analytic continuation in the coupling constant method and the scattering phase shift method.Furthermore,we investigate the resonant states for all the Zr isotopes. The results are in satisfactory agreement with those from the scattering phase-shift method.