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Baryon Effective Theories and Phenom...

Fernando, Ishara Priyasad.

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Baryon Effective Theories and Phenomenology in the 1/N c Expansion.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Baryon Effective Theories and Phenomenology in the 1/N c Expansion./
Author:	Fernando, Ishara Priyasad.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2017,
Description:	275 p.
Notes:	Source: Dissertation Abstracts International, Volume: 79-07(E), Section: B.
Contained By:	Dissertation Abstracts International79-07B(E).
Subject:	Physics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10687901
ISBN:	9780355524338

Baryon Effective Theories and Phenomenology in the 1/N c Expansion.
Fernando, Ishara Priyasad.

Baryon Effective Theories and Phenomenology in the 1/N c Expansion. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 275 p.

Source: Dissertation Abstracts International, Volume: 79-07(E), Section: B.

Thesis (Ph.D.)--Hampton University, 2017.

Chiral perturbation theory (ChPT) and the 1/Nc expansion provide systematic frameworks to investigate the strong interaction at low energy. There are two main focuses of this dissertation. First, analyzing the masses of baryons in the framework of the 1/Nc expansion, using the available physical masses and masses calculated in lattice QCD. Second, combining both ChPT and the 1/Nc expansion into a single framework and applying it to the phenomenology of baryons with three light-quark flavors. In the first focus, the baryon states are organized into irreducible representa- tions of SU(6) x O(3), where the [56, &ell; P = 0+] contains the ground state and radially excited baryons, and the [56, 2+] and [70, 1 --] contain orbitally excited states are analyzed. The analyses are carried out to O(1/Nc) and first order in the quark masses. The issue of state identifications is discussed. Numerous parameter independent mass relations and the famous Gell-Mann-Okubo (GMO) and Equal-Spacing (ES) relations are tested. Also, the quark mass dependence of the operator coefficients for baryon mass is discussed. In the second focus, a small scale expansion of the combined approach is defined as the xi-expansion, in which the power counting of 1/Nc and chiral expansions are linked as O(p) = O(1/Nc) = O(xi). A calculation of one-loop corrections to the ground state baryon masses, vector and axial-vector currents up to O(xi 3) is presented. Moreover, the physical and lattice QCD masses are considered in order to understand the quark mass dependence, along with an analysis of the violations to GMO, ES and Gursey-Radicati (GR) mass relations, and their dependence on Nc.

ISBN: 9780355524338Subjects--Topical Terms:

516296
Physics.

Baryon Effective Theories and Phenomenology in the 1/N c Expansion.
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