are retained by the superfluid phase over the entire range of temperature from $T = 0$ to $T_{\lambda}$ and the entire system assumes a kind of collective binding for which it behaves like a macroscopic molecule.

Since $^4$He atoms in M:He$_N$ clusters are confined to a space of few Å size, it is evident that each $^4$He atom has non-zero energy and corresponding non-zero momentum for the confinement. This undoubtedly proves the absence of $p=0$ condensate in these systems and we use these aspects of Jain’s NCMT [@jain1] to frame a model which provides a better account for the [*typical nature*]{} of non-trivial dependence of $B$ on $N$ revealed from experimental observations on selected M:He$_N$ clusters. In this context it may be mentioned that our intial efforts [@sam] tried to use some simple thoughts to explain the effect by presuming that: (i) each added atom which takes the cluster from M:He$_N$ to M:He$_{N+1}$ can significantly change the positions of other $^4$He atoms from the axis of rotation, and (ii) with $N$ increasing beyond its certain value (depending on several physico-chemical aspects of M), $^4$He atoms start occupying the second position from M ([*e.g.*]{} in M(zero)-$^4$He(first)-$^4$He(second)) and these atoms interact so 