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Title: Quark mass functions and pion structure in Minkowski space

We present a study of the dressed quark mass function and the pion structure in Minkowski space using the Covariant Spectator Theory (CST). The quark propagators are dressed with the same kernel that describes the interaction between different quarks. We use an interaction kernel in momentum space that is a relativistic generalization of the linear confining q-qbar potential and a constant potential shift that defines the energy scale. The confining interaction has a Lorentz scalar part that is not chirally invariant by itself but decouples from the equations in the chiral limit and therefore allows the Nambu--Jona-Lasinio (NJL) mechanism to work. We adjust the parameters of our quark mass function calculated in Minkowski-space to agree with LQCD data obtained in Euclidean space. Results of a calculation of the pion electromagnetic form factor in the relativistic impulse approximation using the same mass function are presented and compared with experimental data.
Authors:
 [1] ;  [2] ;  [1] ;  [3]
  1. CFTP, Institute Superior Tecnico
  2. JLAB
  3. University of Evora
Publication Date:
OSTI Identifier:
1128905
Report Number(s):
JLAB-THY-13-1826; DOE/OR/23177-2967; arXiv:1311.0255
Journal ID: 1432-5411
DOE Contract Number:
AC05-06OR23177
Resource Type:
Conference
Resource Relation:
Journal Name: Few-Body Systems; Conference: 22nd European Conference on Few-Body Problems in Physics, Kraków, Poland, 9 - 13 September 2013
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS