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We report the forbidden $6s^{2} ^{1}S_{0}\longrightarrow6s5d ^{3}D_{1}$magnetic-dipole transition amplitude computed using multi-reference Fock-spacecoupled-cluster theory. Our computed transition matrix element($1.34\times10^{-4}\mu_{B}$) is in excellent agreement with the experimentalvalue ($1.33\times10^{-4}$ $\mu_{B}$). This value in combination with otherknown quantities will be helpful to determine the parity non-conservingamplitude for the $6s^{2} ^{1}S_{0}\longrightarrow6s5d ^{3}D_{1}$ transition inatomic Yb. To our knowledge our calculation is the most accurate to date andcan be very important in the search of physics beyond the standard model. Wefurther report the $6s6p ^{3}P_{0}\longrightarrow6s6p ^{1}P_{1}$ and $6s5d^{3}D_{1}\longrightarrow6s6p ^{3}P_{0}$ transition matrix elements which arealso in good agreement with the earlier theoretical estimates.

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

Relativistic multi-reference Fock-space coupled-cluster calculation of  the forbidden $6s^2^1 S_0 \longrightarrow 6s5d^3 D_1$ magnetic-dipole  transition in ytterbium