Theses and Dissertations from UMD

Permanent URI for this communityhttp://hdl.handle.net/1903/2

New submissions to the thesis/dissertation collections are added automatically as they are received from the Graduate School. Currently, the Graduate School deposits all theses and dissertations from a given semester after the official graduation date. This means that there may be up to a 4 month delay in the appearance of a give thesis/dissertation in DRUM

More information is available at Theses and Dissertations at University of Maryland Libraries.

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    Large Nc Baryons and Baryonic Matter with Heavy Quarks
    (2014) Adhikari, Prabal; Cohen, Thomas D; Physics; Digital Repository at the University of Maryland; University of Maryland (College Park, Md.)
    In this dissertation, Quantum Chromodynamics (QCD) is explored at finite baryon density in a combined heavy quark and 't Hooft large Nc limit of QCD. Non-relativistic baryons are fully antisymmetric states containing Nc quarks; it was proposed by Witten that baryons can be described through a mean-field picture in which each quark moves in an average potential created by the remaining Nc − 1 quarks. A proof of this mean-field picture is constructed here. Additionally, the mean-field baryon problem is also considered in one spatial dimension, where the full relativistic baryon problem has been solved independently by Bringoltz. The ground state properties of single, isolated baryons and baryonic matter in 1+1 dimension is calculated using Witten's mean-field method and compared against the results of the Bringoltz method. Finally, saturated nuclear matter is studied in the combined limit in 3+1 dimensions, where the density of saturated nuclear matter is calculated.