We investigate the reduced collision integrals $$\Omega ^{(\ell ,s)*}(T^*)$$
Ω
(
ℓ
,
s
)
∗
(
T
∗
)
for $$1 \le \ell \le 4$$
1
≤
ℓ
≤
4
, $$\ell \le s \le 7$$
ℓ
≤
s
≤
7
and $$\ell + s \le 8$$
ℓ
+
s
≤
8
for several isotropic potential energy functions: the Lennard–Jones $$(n-m)$$
(
n
-
m
)
, the Hulburt–Hirschfelder, and Tang–Toennies potential. It is observed that for a given $$\ell$$
ℓ
and s, $$\Omega ^{(\ell ,s)*}(T^*)$$
Ω
(
ℓ
,
s
)
∗
(
T
∗
)
shows a mutual intersection region at a reduced temperature $$0.39< T^*=T^*_{\ell s} < 2.22$$
0.39
<
T
∗
=
T
ℓ
s
∗
<
2.22
which is nearly independent of the potential energy function used.