The bag and the string: Are they opposed?

Abstract

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.

Could the static properties of nuclei be deduced from the dynamics of a single quark?

“…One can go a step further and consider this condition as that arising from a quark Q moving in a mean field generated by other quarks in the nucleus [27]. We adopt the condition U S = −U V + C s where C s is a constant.…”

“…which is peculiar to a classical liquid drop rather than a quantum object whose extension, characterized by its Compton wavelength, is inversely proportional to A. An attempt to develop these ideas showed considerable promise [7]. Some properties of nuclei are indeed amenable to this treatment.…”

Correspondence between the physics of extremal black holes and that of stable heavy atomic nuclei

“…Reasonably accurate results for the spectrum of quarkonia can then be found with the use of the discussed Dirac equation machinery [5], [6].…”

Pseudospin Symmetry as a Bridge between Hadrons and Nuclei

“…Recently this Cornell potential was used in the Dirac Hamiltonian and studied under the conditions of spin symmetry and pseudospin symmetry [28]. When spin symmetry was imposed the effective energy-dependent potential derived in the non-relativistic limit was a Cornell type potential which is consistent with hadron phenomenology.…”