Research On The Single Particle Resonance In The Relativistic Framework

The single particle resonance plays an important role in the exotic phenomenons,such as the halo,the inversion of energy level and the movement of magic number.In this thesis,we combine the complex scaling method(CSM),complex scaling green function(CGF)method,complex momentum representation(CMR)method with the relativistic mean field theory(RMF)to develop the RMF-CSM,RMF-CGF,RMF-CMR method to study the single particle resonance.The main contents are as follows:First,we combine the complex scaling method with the relativistic mean field theory to develop the RMF-CSM method to study the deformed nuclei.Taking the A=31 nucleus as an example,the RMF-CSM method has been used to study the single particle resonance,and the energy and width of the resonance have been obtained.We have discussed the relationship between the resonance parameters and the deformation parameters,obtained the energy level structure of single particle bound and resonance,and the variation of them with the deformation.The reason of forming the halo structure of 31Ne has also been explained.Secondly,in order to eliminate the dependence on the complex rotation angle of the CSM calculations to obtain the more accurate results,we extend the CGF to the relativistic mean field theory to develop the RMF-CGF method to study the single particle resonance.By eliminating the interference of continuous spectrum,the resonance peak appears more clearly in the density of the continuous spectrum,so that we can obtain the more accurate resonance parameters.Taking the 120Sn nucleus as an example,the RMF-CGF method has been used to study the single particle resonance,and the consistent results with other theoretical methods have been obtained.In comparison,the results of this paper are more accurate.Lastly,although we can research the single particle resonance more accurately by the RMF-CGF method.Since the limitations of the complex scaling method,the RMF-CGF method can not describe the wide resonance very well,while they play the key role in describing the exotic phenomenon.Therefore,we further extend the CMR to the relativistic mean field theory to develop the RMF-CMR method to study the single particle resonance.The RMF-CMR method not only can study the bound states and resonant states at the same time,but also can give a good description of those narrow and width resonance,and the results have shown the superiority of the RMF-CMR method.