2
$\begingroup$

So I can define the quark distribution function within a hadron as $$ f_{\psi/h}(x)=\frac{1}{2}\int\frac{dz^-}{2\pi}e^{ixP^+z^-} \langle h(p)|\bar{\psi}(0)\gamma^+\psi(z^-)|h(p)\rangle|_{z^2=0} $$ where $a^{\pm}=\frac{1}{\sqrt{2}}(a^0 \pm a^3)$, and where $A^+=0$. This can be constructed from the lower half of the handbag diagram shown below.

To construct the antiquark distribution I imagine all I would need to do is reverse the direction of the fermion lines, leaving me with

$$ f_{\bar{\psi}/h}(x)=\frac{1}{2}\int\frac{dz^-}{2\pi}e^{ixP^+z^-} \langle h(p)|\psi(0)\gamma^+\bar{\psi}(z^-)|h(p)\rangle|_{z^2=0} $$

Is this correct?

enter image description here

$\endgroup$

0

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.