Quark mass functions and pion structure in Minkowski space

Conference · Sat Mar 01 00:00:00 EST 2014 · Few-Body Systems

DOI:https://doi.org/10.1007/s00601-014-0863-x· OSTI ID:1128905

Biernat, Elmer P. ^[1]; Gross, Franz L. ^[2]; Pena, Maria Teresa ^[1]; Stadler, Alfred ^[3]

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1. CFTP, Institute Superior Tecnico
2. JLAB
3. University of Evora

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.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 1128905
• Report Number(s): JLAB-THY-13-1826; DOE/OR/23177-2967; arXiv:1311.0255
• Journal Information: Few-Body Systems, Conference: 22nd European Conference on Few-Body Problems in Physics, Kraków, Poland, 9 - 13 September 2013
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS