It has been found that values of neu and Teu in the SOL of single
null, high recycling divertor discharges in JET and Alcator C-Mod are
related approximately as Teu ∝ neu1/2, where (Teu,neu) are the
values of plasma temperature and density on any given flux tube at the
`upstream' end, for example, halfway between the two targets. Using the
standard two point model for the high recycling (conduction limited)
divertor, this result is shown to be directly related to criteria
based on plasma collisionality - which have to be satisfied if the
flux tube is to be in the conduction limited (high recycling) regime
rather than the sheath limited (low recycling) regime or the detached
regime: the (Teu, neu) points for conduction limited flux tubes
are predicted to fill a (somewhat narrow) band in the (Teu, neu)
plane. Secondly, a tendency for the collisionality, as calculated for
upstream conditions, to remain constant across the SOL is noted and
an explanation is given. The latter then implies a tendency for
Teu ∝ neu1/2, to hold, not just at the separatrix but across the
SOL. Thirdly, for the JET data a further re-enforcing factor tending
to cause a rather strong Teu ∝ neu1/2 correlation
is identified in the dependence of χSOL⊥ on the plasma parameters. The
values of χSOL⊥ were extracted from the JET data
using an onion skin method analysis. The first effect is expected
to be general to tokamaks operated in the high
recycling/conduction limited regime, although it only states that
(Teu, neu) values will fall within a certain band, and a
decreasing value of Teu with increasing neu is not ruled out. It is
not known at this time how general the second two effects are.