In the weak-magnetic-field approximation,we derived an expression of quadratic Zeeman shift coefficient of 3P00 clock state for 88Sr and 87Sr atoms.By using this formula and the multi-configuration Dirac-Hartree-Fock theory,the quadratic Zeeman shift coefficients were calculated.The calculated values C2=-23.38(5)MHz/T2 for 88Sr and the 3P00,F=9/2,MF=±9/2 clock states for 87Sr agree well with the other available theoretical and experimental values,especially the most accurate measurement recently.In addition,the calculated values of the 3P00,F=9/2,MF=±9/2 clock states were also determined in our 87Sr optical lattice clock.The consistency with measurements verifies the validation of our calculation model.Our theory is also useful to evaluate the second-order Zeeman shift of the clock transition,for example,the new proposed 1S0,F=9/2,MF=±5/2-3P00,F=9/2,MF=±3/2 transitions.

National Time Service Center,Xi'an 710000,China;Institute of Applied Physics and Computational Mathematics,Beijing 100088,China;The University of Chinese Academy of Sciences,Beijing 100088,China

[1]Benquan Lu;Xiaotong Lu;Jiguang Li;Hong Chang-.Theoretical calculation of the quadratic Zeeman shift coefficient of the 3P00 clock state for strontium optical lattice clock)[J].中国物理B（英文版）,2022(04):280-285

3P00

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