Modern Physics Letters A Vol. 28, No. 30 (2013) 1350126 (20 pages) c  World Scientific Publishing Company DOI: 10.1142/S0217732313501265 A QUARK-INDEPENDENT DESCRIPTION OF CONFINEMENT NICOLAE MAZILU *,† , PAVLOS D. IOANNOU ‡ , FOTIOS K. DIAKONOS ‡ , XANTIS N. MAINTAS ‡ and MARICEL AGOP § * Institute for Nuclear Research, Pite¸ sti, Campului Str, No. 1, P. O. B. 78, Postal Code 115400 – Mioveni, Arges County, Romania † Silver Lake, OH 44224, USA ‡ High Energy Physics Department, University of Athens, Panepistimiopolis, Zografou 15784 Athens, Greece § Lasers, Atoms and Molecules Physics Laboratory, University of Science and Technology, Villeneuve d’Ascq, 59655, Lille, France § Physics Department, “Gheorghe Asachi” Technical University, Prof. Dr. Docent Dimitrie Mangeron Rd., No. 59A, 700050, Iasi, Romania § m.agop@yahoo.com Received 13 May 2013 Accepted 18 July 2013 Published 4 September 2013 Currently the quantitative description of confinement inside nuclear matter is exclusively limited to computer experiments, mainly on lattices, and concentrating upon calculating the static potential. There is no independent reference for comparison and support of the results, especially when it comes to the quark potential in the continuum limit. Yet, we are entitled to be optimistic, for the basic results of these calculations seem to be correct from an entirely different point of view, suggested by Manton’s geometrization of Skyrme theory. The present work shows the reasons of this point of view, and offers a static potential that might serve as independent reference for comparison and endorse- ment of any lattice calculations, and in fact of any structural hypotheses of nuclear matter. A historical review of the pertinent key moments in the history of modeling of nuclear matter, as well as an outlook anticipating the necessary future work, close the argument. Keywords : Nuclear matter; static quark potential; Manton’s geometrization; skyrmions; confinement; temperature; sufficient statistic; exponential distributions; quarks; partons; rational maps. 1. Introduction Nuclear matter is a concept on whose explanation one heavily relies upon analo- gies with classical achievements in the phenomenology of matter at large: solids, liquids, gases, plasmas and their interrelationships. 1 There are, nevertheless, § Corresponding author 1350126-1 Mod. Phys. Lett. A 2013.28. Downloaded from www.worldscientific.com by KENT STATE UNIVERSITY on 06/04/14. For personal use only.