The Research of"non-collective"RotationaL Behavior for Nuclei in the Presence of Random Interactions
The non-collective rotational behavior of the yrast band is robustness for nuclei in the presence of random interac-tions,where the mathematical expectation of the energy levels of yrast state is positively correlated with the square of the an-gular momentum.In this paper,the even-even nuclei,including 24Mg、28Si、46Ca、46Ti,and odd-mass nuclei,including 21Ne、43 Sc,were calculated in the sd shell and pf shell model spaces in the presence of random interactions,which verifies the robustness of the non-collective rotational behavior in even-even nuclei with nonzero-spin ground state and odd-mass nuc-lei.Additionally,the linear correlation between the mathematical expectation of energy levels and the square of angular mo-mentum is very good.When the minimum angular momentum level is higher than the maximum angular momentum level,the phenomenon of"reverse"non-collective rotation is also prevalent.Furthermore,we compare and discuss the influence of the ground states of even-even nuclei on the structure of yrast band,the results show that the even-even nuclei with nonzero-spin ground state will exhibit more randomness of the yrast band.
random interactiontwo-body random ensembleyrast bandnon-collective rotational behavior