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

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Baryon Effective Theories and Phenomenology in the 1/N c Expansion./
Author:	Fernando, Ishara Priyasad.
Description:	1 online resource (275 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 79-07(E), Section: B.
Contained By:	Dissertation Abstracts International79-07B(E).
Subject:	Physics. -
Online resource:	click for full text (PQDT)
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. - 1 online resource (275 pages)

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

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

Includes bibliographical references

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.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355524338Subjects--Topical Terms:

564049
Physics.
Index Terms--Genre/Form:

554714
Electronic books.

Baryon Effective Theories and Phenomenology in the 1/N c Expansion.
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100 1 $a Fernando, Ishara Priyasad. $3 1190111
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500 $a Source: Dissertation Abstracts International, Volume: 79-07(E), Section: B.
500 $a Adviser: Jose L. Goity.
502 $a Thesis (Ph.D.)--Hampton University, 2017.
504 $a Includes bibliographical references
520 $a 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.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
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650 4 $a Nuclear physics and radiation. $3 1187795
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