European Einstein Toolkit Meeting 2024

Bag model revisited

Not scheduled

30m

C 1.110 (SciencePark)

Contributed Presentations

Speaker

Hristu Culetu

Description

Motivated by a recent opinion expressed by M. C. Andersen that there are striking similarities between a quantum particle and a mini-black hole, we investigate the possibility that a nucleon (say, a proton) is akin to a black hole. From the MIT Bag model we know that the confinement of strongly interacting particles inside hadrons is accomplished in a Lorentz-invariant way, i.e., $T_{ab}\propto g_{ab}$ ($T_{ab}$ is the stress tensor inside hadrons), leading to $ϵ=-p=B\approx 160MeV/f{m}^3$, where B is the bag constant. From General Relativity we know that the equation of state $p=-ϵ$ leads to a de Sitter spacetime. To satisfy the junction conditions at the interface, we choose as geometry outside a proton a regular Schwarzschild spacetime. Moreover, we found that the outer and inner radial pressures are equal at the junction surface, as it should be.