Antimagnetic Rotation In^108,110In Within Covariant Density Functional Theory

Rotation is a common phenomenon in nature. As a finite quantum many-body system,nuclei exhibit many interesting phenomena. Based on a lot of experiments, Bohr and Mottelsonexplained the rotating phenomenon of nucleus firstly, and the rotating phenomenon is thoughtof the result of the large deformation of nuclear nuclei. The high spin of nucleus is producedby the collective movement of nuclei that with deformation. Since1970s, the high spin state ofnuclei have become a new area in the study of the rotating phenomenon of nucleus.In earlier1990s, however, the study of the high spin state of nuclei entered a new period.Diferent from the traditional high spin physics that based on the concept of electric multipolerotation, the magnetic rotation and antimagnetic rotation are proposed which is a new modeof the rotating phenomenon of nucleus, and are confirmed by later experiments. In the studyof peculiar phenomena, the magnetic rotation and antimagnetic rotation become a hot topic inhigh spin physics. From then on, more and more magnetic rotation bands have been observedin the mass region of A～190but also in A～80, A～110, and A～140mass regions.However, antimagnetic rotation bands have been observed only in the mass region of A～110, in the experiment, antimagnetic rotation bands have only been observed in Cd isotopes, butthe In isotopes have been thought of candidate antimagnetic rotation bands in the early.For tilted axis cranking mean-field theory, lots of applications are carried out in the s-tudy of the magnetic rotation and antimagnetic rotation. Based on the efective field theoryand density functional theory, the covariant density functional theory (relativistic) allows avery successful description of nuclear many-body problem, and it is one of the most importantmicroscopic methods in the description of nuclear structure. At present, tilted axis crankingcovariant density functional theory has been successfully used in describing the properties of magnetic rotation and antimagnetic rotation in a self-consistent way.In this paper, based on the covariant density functional theory, the tilted axis crankingmodel with the point-coupling interaction PC-PK1has been applied to investigate the antimag-netic rotation of108,110In. High spin states of108,110In such as angular momentum, deformation,dynamic moment of inertia, nuclear transition probability and J2/B(E2) ratios were investi-gated. The self-consistent titled axis cranking relativistic mean-field model calculations areperformed for interpreting the rotational structure, besides the characteristic of antimagneticrotation have been presented for108,110In in bands4and5, in addition two-shears-like mecha-nism and the contribution of the core and valence nucleons for angular momentum for108,110Inin bands4and5is also investigated.