Magnetic field-induced giant modification of the probabilities of five transitions of of Rb and three transitions of of Rb forbidden by selection rules for zero magnetic field has been observed experimentally and described theoretically for the first time. For the case of excitation with circularly-polarized () laser radiation, the probability of transition becomes the largest among the seventeen transitions of Rb $F_g=2 \rightarrow F_e=1,2,3,4F_g=1,~m_F=-1 \rightarrow F_e=3,~m_F=0^{87}F_g=1 \rightarrow F_e=0,1,2,3$ group, in a wide range of magnetic field 200 – 1000 G. Complete frequency separation of individual Zeeman components was obtained by implementation of derivative selective reflection technique with a 300 nm-thick nanocell filled with Rb, allowing formation of narrow optical resonances. Possible applications are addressed. The theoretical model is perfectly consistent with the experimental results.

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