Putting two vertices within an oval on Feynmp

Question

I am trying to draw the following diagram,

Here is my MWE so far:

\documentclass[10pt,a4paper]{article}
\usepackage[latin1]{inputenc}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{feynmp}
\usepackage{rotating}
\setlength{\unitlength}{1mm}
\pagestyle{empty}
\begin{fmffile}{graphwiththeelectron}
    \begin{fmfgraph*}(140,140)
      \fmfleftn{i}{9}
      \fmfrightn{o}{9}
      \fmfcmd{input vbloboval;}
      \rotatebox{90}{\fmfblobOval{0.16w}{v1}}
      \fmfblob{0.14w}{v2}
      \fmf{fermion,label=$p$}{i3,v1}
      \fmf{phantom}{v2,o5}
      \fmf{plain}{v1,v2}
      \fmf{photon}{v1,i4}
      \fmf{photon}{v1,i5}
      \fmf{photon}{v1,i6}
      \fmf{fermion,label=$p'$}{v1,i7}
  \end{fmfgraph*}
\end{fmffile}

(I have used this How to draw oval with FeynMP? to draw an oval) and this is what I get out

Unfortunately when I try and get the second line from the circle to the oval, there is an error because that line exists. Basically I want to make two vertices within the oval, as the original diagram does. (Ideally I would like to rotate the oval as well if anyone has any ideas - note that the attempt at rotating the oval I have tried has no effect on it)

Answer 1

At this level of complexity I would recommend switching directly to the underlying drawing engine (which is Metapost). You can still access all the feynmp macros by doing input feynmp at the top, then you can just draw directly. For example:

prologues := 3;
outputtemplate := "%j%c.eps";

input feynmp

beginfig(1);

draw photon  origin -- 30 right;
draw photon  origin -- 36 right rotated 45;
draw photon (origin -- 36 right rotated 45) shifted (-3,3); 

path p; p = origin -- 72 left;

draw subpath(0,1/2) of p rotated  30; 
draw subpath(0,1/2) of p rotated -30;

arrow_len := 7;
draw fermion subpath(1,1/2) of p rotated 30;
draw fermion subpath(1/2,1) of p rotated -30;

for t = -15 step 10 until 15:
  drawarrow ((photon subpath (.5,.83) of p) .. subpath (.88,.95) of p) rotated t;
endfor

fill fullcircle scaled 20 withcolor .7 white;
draw fullcircle scaled 20;

fill fullcircle xscaled 20 yscaled 50 shifted 30 left withcolor .7 white;
draw fullcircle xscaled 20 yscaled 50 shifted 30 left;

label.lrt(btex $p$ etex,  point .8 of p rotated +30);
label.urt(btex $p'$ etex, point .8 of p rotated -30);
label.lft(btex $\vcenter{\halign{\hfil$#$\hfil\cr k_1\cr\vdots\cr k_n\cr}}$ etex, point 1 of p);
label.bot(btex $\displaystyle\underbrace{\kern40bp}_{\hbox{hard}}$ etex, (12,-9));
label.bot(btex $\displaystyle\underbrace{\kern44bp}_{\hbox{soft}}$ etex, (-44,-36));

endfig;
end

which produces this attempt at your diagram: