Theoretical Study Of The Polarizabilities And Tune-out Wavelengths Of Fine And Hyperfine Of ¹³³Cs Atom

At certain laser wavelengths,however,the dynamic polarizability becomes null,These laser wavelengths as "tune-out wavelengths".It has important applications in the in sympathetic cooling in two-species mixtures of alkali-metal atoms,accurate estimations of transition matrix elements and test of quantum electrodynamic theory.At present,the tune-out wavelengths of the alkali metal atoms Li,K and Rb have been determined with high precision in the experiment,and the high precision transition matrix elements have been determined.However,there is no experimental result for the tune-out wavelength of the Cs atom.Because the Cs atom is an important research system for precise measurement in physics,the tune-out wavelength and the basic structure atoms parameters?energy level transition matrix element,lifetime,and the lifetime of the oscillator strength?is calculated with high accuracy is very important.In this work,the wave function,energy levels and matrix elements of the Cs atom are calculated by the relativistic configuration interaction plus model potential method.Then,By use these wave functions and matrix elements.the static polarizabilities ground state 6s1/2 is calculated.We detailed calculation the dynamic polarizability of the ground state of the cesium atom.The three tune-out wavelengths and their positions of the ground state are determined,the contribution of each transition for tune-out wavelengths is given.The effect of each parameter on tune-out wavelength is analyzed.It can be found that the main contribution to the tune-out wavelengths near 880 nm comes from 6s1/2?6s1/2 and 6s1/2?6p3/2 transition state.For the remaining two tune-out wavelengths,except the main contribution of the 6s1/2?6Pj transition,it has a lot to do with the 6s1/2?Pj transition.By considering the hyperfine splitting,the static and dynamic polarizabilities,hyperfine stark shifts,and tune-out wavelengths of the hyperfine ground states of ¹³³Cs atoms are determined.The obtained hyperfine stark shifts are in good agreement with available theoretical and experimental results.It is found that the shifts of the first primary tune-out wavelengths are about-0.014 and 0.011 nm,which is very close to the hyperfine interaction energies.Moreover,the contribution of the tensor polarizability to?the tune-out wavelengths is determined to be about 10-5?10-6 nm.