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Title: Quark-antiquark bound states in the relativistic spectator formalism

Abstract

The quark-antiquark bound states are discussed using the relativistic spectator (Gross) equations. A relativistic covariant framework for analyzing confined bound states is developed. The relativistic linear potential developed in an earlier work is proven to give vanishing meson {r_arrow} q + {anti q} decay amplitudes, as required by confinement. The regularization of the singularities in the linear potential that are associated with nonzero energy transfers (i.e. q{sup 2} = 0, q{sup {mu}} {ne} 0) is improved. Quark mass functions that build chiral symmetry into the theory and explain the connection between the current quark and constituent quark masses are introduced. The formalism is applied to the description of pions and kaons with reasonable results.

Authors:
;
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Energy Research (ER) (US)
OSTI Identifier:
755806
Report Number(s):
DOE/ER/40150-1470; JLAB-THY-99-38; hep-ph/9911319; WM-99-119
TRN: US0002575
DOE Contract Number:  
AC05-84ER40150
Resource Type:
Journal Article
Resource Relation:
Other Information: PBD: 1 Nov 1999
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUARKONIUM; PARTICLE MODELS; PIONS; KAONS; BOUND STATE; RELATIVITY THEORY; CHIRAL SYMMETRY

Citation Formats

Savkli, Cetin, and Gross, Franz. Quark-antiquark bound states in the relativistic spectator formalism. United States: N. p., 1999. Web.
Savkli, Cetin, & Gross, Franz. Quark-antiquark bound states in the relativistic spectator formalism. United States.
Savkli, Cetin, and Gross, Franz. 1999. "Quark-antiquark bound states in the relativistic spectator formalism". United States. https://www.osti.gov/servlets/purl/755806.
@article{osti_755806,
title = {Quark-antiquark bound states in the relativistic spectator formalism},
author = {Savkli, Cetin and Gross, Franz},
abstractNote = {The quark-antiquark bound states are discussed using the relativistic spectator (Gross) equations. A relativistic covariant framework for analyzing confined bound states is developed. The relativistic linear potential developed in an earlier work is proven to give vanishing meson {r_arrow} q + {anti q} decay amplitudes, as required by confinement. The regularization of the singularities in the linear potential that are associated with nonzero energy transfers (i.e. q{sup 2} = 0, q{sup {mu}} {ne} 0) is improved. Quark mass functions that build chiral symmetry into the theory and explain the connection between the current quark and constituent quark masses are introduced. The formalism is applied to the description of pions and kaons with reasonable results.},
doi = {},
url = {https://www.osti.gov/biblio/755806}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Nov 01 00:00:00 EST 1999},
month = {Mon Nov 01 00:00:00 EST 1999}
}