Describing the Stability of Twelve Quark Meson Using a Statistical Approach

Authors: Artem Denisenko, Suman Baral

SUNY Campus: Niagara County Community College

Presentation Type: Poster

Location: Old Union Hall

Presentation #: 22

Timeslot: Session D 3:00-4:00 PM

Abstract: The central question of the study is to determine whether a twelve-quark meson is stable. Using the semi-classical approach, we build Thomas-Fermi statistical quark model for a family of dodeca-quarks and investigate interactions between elementary particles within it to determine whether the system of twelve quarks can form a bound state. The multiquark under investigation consists of three charm, three anti-charm, three up and three anti-down quarks. Each of these types is represented as a degenerate couple and a nondegenerate singlet of quarks, distributed within a spherically symmetric cloud and allowed to interact at zero temperature. After calculating the total ground state energy, we compare it to the previously calculated energies of octa-quarks, treating smaller value of energy per quark as an indication of existence of the dodeca-quark system. The first step is analytical calculation of total potential and kinetic energies of the system from building Thomas Fermi model equations using statistics and calculus. The obtained equations and constants are then input into Mathematica, which provides the numerical values, which are lastly compared to the octa- and hexadeca-quark systems. The main motivation behind this project is a strong indication of the existence of octa- and hexadeca-quarks on our group’s previous projects. Here we successfully extended the model to incorporate both the degenerate and non-degenerate particles and are now positioned to simulate the energy associated with dodeca-quarks.