^{1}

^{*}

^{2}

All nucleons are concentrated in an infinitesimal region in the atom under the strong force forming the collective model. Mathematically, formation of this force has been explained by H. Yukawa in [1]. But, in this text, this force has been derived following an alternative and constructive method (or system) which also leads to explain the generalized nuclear model.

It is well known to us that spin is the intrinsic property of elementary particles. Again, energy, mass, moment of inertia etc of a particle of rigid configuration would be affected by relativistic spin as in [

In the present work trial would be made to derive the formation of strong force in the nucleus by extending the above relation.

According to [

From the above equation we can write

Again from (1) and (2) using a constant we can consider a relation as

This means that electromagnetic field performing two simultaneous superimposed motions generate one kind of strong gravitational field which is related to and stronger than electromagnetic field of primed frame. Now let,

Then using (3) and (4) we get

This is the relation between strong field and well known gravitational field. Here, performing two simultaneous superimposed motions as in [

where, is the strong gravitational energy and electromagnetic energy.

being the four velocity as in [

Number of maximum nucleons in a particular sub energy level is.

Using (6) we get energy of strong field which is same as binding energy in nucleus. So,

and

where, are number of protons in the respective sub-shells of nth shell and is the electromagnetic energy attributed to the proton.

It is seen that using four velocity matrix we can transform electromagnetic field to strong field as in (3); also from weak gravitational field to strong field as in (5). Nucleus achieves collective model but, to explain the strong field, it will be more significant that nucleus possesses two simultaneous superimposed spins which forms the shell model. Thus, we may conclude that both shell model and collective model exist for a nucleus which is called generalized model.

Author thanks the authorities of Satmile High School, Satmile-721452, W. B., India for their continuous encouragements.