2009/05/08 by Constança Providência, João da Providência, Flávio Cordeiro +4
Physics and Astronomy · #Algebraic number #Cold Atom Physics and Bose-Einstein Condensates #Color model #Color superconductivity #Colored #Context (archaeology) #Mathematical analysis #Pairing #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Quark #Quark model #Quarkonium #State (computer science) #Strange matter #Superconductivity #Theoretical physics #Top quark #nucl-th
paper · pdf · doi:10.1016/j.aop.2009.04.009
published as Annals Phys.324:1666-1675,2009
openalex publication_date 2009/05/08 · arxiv created 2009/09/16 · arxiv updated 2010/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present the exact solutions to the equations of the lowest energy states of the colored and color-symmetric sectors of the Bonn quark model, which is SU(3) symmetric and is defined in terms of an effective pairing force with su(4) algebraic structure. We show that the groundstate of the model is not color symmetrical except for a narrow interval in the range of possible quark numbers. We also study the performance of the Glauber coherent state, as well as of superconducting states of the BCS type, with respect to the description, not only of the absolute (colored) groundstate, but also of the minimum energy state of the color-symmetrical sector, finding that it is remarkably good. We use the model to discuss, in a schematic context, some controversial aspects of the conventional treatment of color superconductivity.