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**w**=g

_{p}_{1}[T]+a*g

_{2}[T]

Where:

**g**=(1 - x

_{1}[T]^{2}/σ[T])

^{2}* Sqrt[1 - σ[T]] * (4*(1 + x

^{2}/σ[T]) - (4/3*(σ[T] - x

^{2})/σ[T])*(1 - σ[T]));

**g**=(1 - x

_{2}[T]^{2}/σ[T])

^{2}* Sqrt[1 - σ[T]] * (4*(1 + x

^{2}/σ[T] - 2*σ[T]) - 4/3*(σ[T] - x

^{2})/σ[T]*(1 - σ[T]));

and

**σ[T]**=1 - 2 * T * m

_{n}/(m

_{n}-m

_{p})

^{2}

and

**a**is the electron neutrino correlation.

To get the momentum spectrum, I am transforming the functions (non relativistically):

TofP[p]=p

^{2}/(2*m

_{n})

w

_{mom}=w

_{p}[TofP[p]]

However this doesn't yield the correct spectrum for the momentum of the recoiled protons, as far as I have gotten it I have to multiply it with p and TofP[p] to get the shape of the correct spectrum (w

_{mom}=w

_{p}[TofP[p]]*p*TofP[p]). Which doesn't make sense to me, so if anyone can explain I would be highly thankful.