[**k**]{}$_3$, ... ... [*etc.*]{} (expressed in wave number). Based on different estimates by a large number of theoretical and experimental studies, $N_{p=0}$ ($p=0$ condensate) is believed to fall around 10$\%$ [@ander; @enss] leaving $N_{p\not=0}$ (non-condensate) to about 90$\%$. In what follows CMT identifies that $p=0$ condensate as the origin of superfluidity and related properties of He-II and the same view point is attributed to the superfluidity exhibited by microscopic systems of $^4$He atoms ([*viz.*]{}, droplets and clustes) too. The advances in CMT made over the last several years [@tom] suggest that superfluid phase of liquid $^4$He also has (in addition to $p=0$ condensate) pair condensate (similar to Copper pair condensation in superconductors) or a composite condensate ($p=0$ condensate, pair condensate, 3 particle condensate, [*etc.*]{}) as the origin of superfluidity.

We note that SPB used in CMT not only complicates the process of finding different aspects of a SIB, [*e.g.*]{}, the expectation value of inter-particle interaction which becomes infinitely repulsive for short distances, but also ignores the reality that the states of wave superposition assumed by the particles at low $T$ can not be described by $u_k(r)$. It is well known that: (i) two particles (say P1 and P2) in the 