Quark-antiquark bound states in the relativistic spectator formalism

Journal Article · Thu Mar 01 04:00:00 EST 2001 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.63.035208· OSTI ID:40206159

S avkli, C etin; Gross, Franz

The original model of q{bar q}-bound states, developed by Gross and Milana, which uses the relativistic spectator (Gross) equations to give a manifestly covariant description of confinement in Minkowski space that is consistent with chiral symmetry, is improved and extended. These improvements include (i) derivation of the normalization condition for the relativistic wave functions, (ii) proof that confinement automatically prohibits decays by implying the vanishing of the vertex function when both quarks are on shell, (iii) extension of the model to the strange quark sector and to sectors with unequal quark masses, (iv) removal of unphysical singularities associated with the confining interaction, and (v) inclusion of a realistic one-gluon-exchange interaction. We use phenomenological quark mass functions to build chiral symmetry into the theory and to explain the connection between the current quark and constituent quark masses. We obtain reasonable results for pions and kaons, establishing that the formalism, designed to work well in the heavy quark sectors, can also be extended to the light quark sector.

• Sponsoring Organization: (US)
• OSTI ID: 40206159
• Journal Information: Physical Review C, Journal Name: Physical Review C Journal Issue: 3 Vol. 63; ISSN 0556-2813
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
CHIRAL SYMMETRY
CONFINEMENT
KAONS
MINKOWSKI SPACE
PIONS
QUARKS
REMOVAL
VERTEX FUNCTIONS
WAVE FUNCTIONS