Update to v0.2:

Added: Comparison of the energy for two different potentials that
  share the same scattering length and integral (new figure).

  Added: Lee-Huang-Yang prediction in figures.

  Fixed: Wrong exponent in definition of correlation function.

  Added: More precise comparison of the big equation prediction for the
  hard core potential (new figure).

  Changed: Miscellaneous minor fixes and clarifications.

figs/compare_pots.fig/compare_pots.gnuplot

@@ -0,0 +1,39 @@
+set ylabel "$\\frac{e}{\\rho}$" norotate
+set xlabel "$\\rho$"
+
+set xtics 1e-4, 100, 10000
+set xtics add ("$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0, "$10^2$" 100, "$10^4$" 10000)
+unset mxtics
+
+set xrange [1e-5:1e4]
+
+#set ytics 0.8, 0.05, 1.1
+set yrange [0:40]
+
+# default output canvas size: 12.5cm x 8.75cm
+set term lua tikz size 8,6 standalone
+
+set key top left box linetype rgbcolor"#999999" width 0.3 height 0.3 spacing 1.3
+
+
+# set linestyle
+set style line 1 linetype rgbcolor "#FF3399" linewidth 2
+set style line 2 linetype rgbcolor "#DC143C" linewidth 2
+set style line 3 linetype rgbcolor "#DC143C" linewidth 2
+set style line 4 linetype rgbcolor "#4B0082" linewidth 2 dashtype "."
+set style line 5 linetype rgbcolor "#DAA520" linewidth 2
+set style line 6 linetype rgbcolor "#999999" linewidth 1.5 dashtype (1,5)
+
+set pointsize 1
+
+set logscale x
+
+a=0.597754
+beta=6.87436
+
+plot \
+ "bigeq_tent.dat" using 1:($2/$1) with lines ls 4 title "big $v_{32}^{(0)}$",\
+ "bigeq_exp.dat" using ($1*beta**3):($2/$1/beta) with lines ls 5 title "big $\\Phi$",\
+ "2021-02-16+tent32.dat" u 1:($2/$1) ls 1 title "QMC $v_{32}^{(0)}$",\
+ "2021-02-16+19.dat" u ($1*beta**3):($2/$1/beta) ls 2 title "QMC $\\Phi$",\
+ 2*pi*a*(1+128./15/sqrt(pi)*sqrt(x*a**3)) ls 6 title "LHY"