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We presented experimental and theoretical studies of the effect of anexternal magnetic field on the forbidden transition in the bosonic Sr atom. Inour ultra-cold atomic system, the excitation fraction of$5s5p$~$^3P_0$~-~$5s^2$~$^1S_0$ forbidden transition was measured under thecircumstance of the different magnetic field strengths by using the normalizeddetection method. Based on perturbation theory, we calculated themagnetic-field-induced $5s5p$~$^3P_0$~-~$5s^2$~$^1S_0$ transition rate. Theexcitation fraction as a function of the magnetic field strength was deducedaccording to the calculated results. A good agreement was found between theexperimental measurements and the calculations. This study should be helpful inevaluating the magnetic field effects on the forbidden transition rate withhigher accuracy. Moreover, it can help to understand the ultra-cold atomicinteraction in the external magnetic field.

Exploration of the magnetic-field-induced $5s5p$~$^3P_0$~-~$5s^2$~$^1S_0$ forbidden transition in bosonic Sr atom