复标度方法对Pb同位素单粒子共振态的研究

在相对论平均场(RMF)理论框架下,采用复标度方法研究Pb同位素的单粒子共振态.研究复标度哈密顿量Hθ的本征值随复标度参数θ变化的情况,研究结果表明:连续谱随θ转动,当θ增加到一定值时,共振态开始出现;共振态出现后,共振态位置不随θ变化.同时利用θ轨迹方法得到201～212Pb的共振态能量和宽度,并进一步研究Pb同位素链的共振态能量和宽度随原子核质量数变化的情况.

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

In the framework of the relativistic mean field(RMF) theory,the single-particle resonant states of Pb isotopes were studied with the complex scaling method.The eigenvalue of the scaling Hamiltonian Hθ varying with the rotation angle θ was demonstrated.It was shown that the continuous spectrum of Hθ rotated clockwise with θ,when the angle θ increased to a certain value,the resonant states began to appear,but the position of resonant states remained almost unchanged with the variation of θ.The energies and widths for all the possible resonant states of 201-212Pb were obtained by the θ trajectory of resonance parameters.Furthermore,the energies and widths of resonance states of Pb isotopes with the changes of the mass number of the nucleus were investigated.