The Study Of Single-particle Resonance States And Halo Phenomena In The Strange Nuclei With The Green's Function Continuous Spectrum Theory

The nucleus far away from the ? stabilization line has strange phenomena such as halo,new magic number and new excitation mode,which has become an important scientific target of nuclear physics theory and large scientific devices.Because the single-particle resonance state is of great significance to the formation of strange phenomena such as halo,it has become one of the hot spots in nuclear physics research.In theory,there are many ways to find single-particle resonance state,and the Green function method is a simple and effective method.Based on the theory of the average field of relativity(RMF)and the theory of continuous spectrum of Relativity Hartree-Bogoliubov(RCHB),the following studies are made on single-particle resonance and halo phenomena by using the Green function method:(1)Using spherical RMF theory,selecting ¹²⁰Sn as an atomic nucleus as an example,and studying the single-particle resonance state.In the fourth quadrant of the single-particle complex-energy plane,the value of the Green function at different energies is calculated,the single-particle resonance state is determined by looking for the extreme point of the Green function,and its energy and half-width are strictly determined.This newly developed Green function method can directly determine the resonant state information,which is also very effective for the wide resonance state while applying to narrow resonance.In addition,it is verified that the Green function method does not rely on the size of the coordinate space box,and can obtain a resonant state consistent with the extreme point of state density by looking for it,the difference in energy and width is only 0.2 ke V,and for very narrow resonance states,the width accuracy can be increased to 1×10^-8 Me V.(2)Using the Green function RCHB model,the rich neutron halo core ¹²⁸Zr was studied.In different coordinate spaces,the neutron density of ¹²⁸Zr is calculated by using the Green function method and the discrete method of box boundary conditions respectively,and the cause of halo phenomenon is explained by analyzing the dispersion behavior of neutron density at the end of the box.In addition,the study found that the calculation results of the discrete method showed a nonphysical decrease at the box boundary.By comparing the wave distribution density and pair of tension near Fermi face calculated by the Green function method and the discrete method,it is found that the results of the two methods are basically the same.Finally,the density distribution of dispersion was found from p_1/2,f_5/2,f_7/2 orbits.