Study Of Rotational Properties Of The Superheavy Nuclei By Projected Shell Model

For the rotational band in ²⁵⁶Rf,which has been measured recently,we apply the projected shell model to calculate it and compare the results with the experiment data.We have also made predictions for the isotopes in the vicinity of ²⁵⁶Rf.The study of the structure of superheavy nuclei would help in finding the precise location of the superheavy island of stability.We start from a set of deformed Nilsson bases,and take pairing forces into account through the BCS method.Then the violated rotational symmetry is restored by the method of angular momentum projection.Through the diagonalization of the Hamiltonian,we obtain the eigenvalues and wavefunctions.The PSM is a conventional tool to study the structure of nuclei,which allows fast calculations and can provide clear physical explanations for results.In this thesis,we discuss the rotational properties of the Rf isotopes by the PSM.We obtain the band diagrams,and study the structure of the yrast band,where we have found changes in configuration that result in band crossings.We also make calculations for moments of inertia,B?E2?'s and g factors.Although we are unable to verify these results due to the lack of experiment data,we have made some predictions.Finally,we summarize the theoretical achievements and shortcomings in our research,which may be improved in future works.The thesis briefly introduces some frontier topics,as well as several usual nuclear models.