Quarkonium in a thermal BIon

Abstract

In the present article, the authors intend to propose a new theory that potentially allows the propagation of the formation and the evolution of quarkonium in a thermal BIon. When quarks are close to each other, quarkonium behaves like a scalar and, by their getting away, it transitions to a fermionic system. To analyze this particular behaviour, a new outlook approach needs to be adopted as the concurrent view is found deficient to analyse the aforesaid behaviour. Therefore, the authors, post-deliberation, accept that the fermions and fermionic systems are related. We need to accept a theory in which the origin of fermions and bosons is the same. However, in M-theory, these particles are independent and for this reason, we use a new broader theory based on Lie-N algebra and we call it broad Lie-N algebra (BLNA) theory. Thus, in a way, BLNAis M-theory with 11 dimensions. In this model, two types of energies with opposite signs emerge from nothing such that the sum over them becomes zero. They produce two types of branes with opposite quantum numbers and bosonic fields, which interact with each other and get compact. By compacting branes, the quarks and anti-quarks are produced on branes and exchange the graviton and the gravitino. These particles produce two types of wormholes, which act opposite to each other. They preclude the closing or diverging of the branes and also occurrence of confinement. This confined potential that emerges from these wormholes depends on the separation distance between quarks and anti-quarks and also on the temperature of the system and it is reduced to the predicted potential in experiments and QCD. Also, total entropy of this system grows with increasing temperature and produces a repulsive force, which leads to the separation of quarks and anti-quarks and also to the emergence of deconfinement.