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We perform laser absorption spectroscopy with ultracold $^4$He atoms tomeasure the energy intervals between the $2^{3\!} P_2$ level and five levels inthe n = 5 manifold. The laser light perturbs the cold atomic cloud during theproduction of Bose-Einstein condensates and decreases the phase space density,causing a measurable decrease in the number of atoms in the final condensate.We improve on the precision of previous measurements by at least an order ofmagnitude, and report the first observation of the spin-forbidden $2^{3\!}P_2 -5^{1\!}D_2$ transition in helium. Theoretical transition energies agree withthe observed values within our experimental uncertainty.

Frequency measurements of transitions from the $2^{3\!}P_2$ state to the $5^{1\!}D_2$, $5^{3\!}S_1$, and $5^{3\!}D$ states in ultracold helium