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We assume that the heavy cluster is spherical and perform harmonic quadrupole oscil- lations around the spherically symmetric shape with frequency ℏ ω$_{0}$ , while the light cluster stays in its ground state. Then for ˆ H$_{0}$ we have the following expression 

<img src='content_image/367370.jpg'>

where µ is the reduced mass of the DNS, R is the distance between the centers of mass of the fragments, ˆ n is the operator of the number of the quadrupole phonons of heavy cluster and ˆ L 2 is the operator of the square of angular momentum of relative rotations of the two fragments 

<img src='content_image/367369.jpg'>

Angles Ω = ( θ, φ ) (see Fig.1) describes the orientation of the relative distance vector R with respect to the laboratory system. 

Taking into account that for the low angular momenta the deformation of heavy fragment is small, the interaction between the vibrational and rotational degrees of freedom can be taken in the lowest order with respect to the operators of quadrupole deformation ˆ β$_{2}$$_{µ}$ 

<img src='content_image/367368.jpg'>

