Question

What are the restrictions on the azimuthal quantum number $\ell$ for $\sigma$ transitions?

Answer 1

I know that ππ transitions only allow Δℓ=1Δℓ=l.
The spin quantum number is +1/2, which is allowed. Because this set of quantum numbers follows all restrictions, it is possible. The quantum number n is an integer, but the quantum number ℓ must be less than n, which it is not. Thus, this is not an allowed set of quantum numbers.

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Answer 2

the restrictions on the azimuthal quantum number $\ell$ for $\sigma$ transitions? ... Because this set of quantum numbers follows all restrictions, it is possible.