The Cornell potential is under certain conditions converted to an effective potential which is suggestive of the bag model once all spin degrees of freedom of a quark driven by this static field have been integrated out. We argue for the view that such conditions arise from a quark Q moving in a relativistic mean field generated by two quarks Q and Q , which together with Q form a nucleon Q Q Q , and the nucleon Q Q Q is a constituent of some nucleus. This view opens up a new avenue of attack on the problem of saturation of the nuclear force.

We show that the static properties of a nucleus could arise from a single quark moving in a mean field generated by all other constituents of this nucleus. The resulting model provides a way for determining the nuclear sizes characteristic of the liquid drop model, and reasonably accurate values of magnetic moments of different nuclei with the aid of two parameters α s and σ appearing in the Cornell potential intended for use in quarkonium physics.

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Extremal black holes are immune of Hawking evaporation. On the other hand, some heavy atomic nuclei feature extraordinary stability to spontaneous transmutations changing their mass numbers. The fact that extremal black holes and stable nuclei share a common trait, that of defying spontaneous ejection of their constituents, suggests that a good part of nuclear physics is modelled on physics of extremal black holes through a simple version of gauge/gravity duality. A general criterion for discriminating between stable and unstable microscopic systems can be formulated to gain a new insight into some imperfectly understood phenomena, such as instability of truly neutral spinless particles (Higgs bosons, π 0 , quarkonia, glueballs).