We demonstrate a high-flux and low transverse temperature atomic beam of ytterbium by applying two-dimensional cooling using the intercombination transition to the cold atomic beam produced by the dipolar-allowed transition. The optimized transverse temperature of and an atomic flux of $(7.5 \pm 1.0) \times 10^8,$ are obtained for the atomic beam whose longitudinal velocity is . The transverse temperature is maintained below , while the flux is above $6.5 \times 10^8,22 - 30,$. We also discuss the feasibility of further narrowing the transverse momentum width to less than the recoil momentum using the momentum-selective optical transition between the ground state and the long-lived metastable state. The transverse momentum width of our atomic beam, which is narrower than 5.7 times the recoil momentum, is a good starting point for the proposed method.

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