Estimate of the {theta}{sup +} width in the relativistic mean field approximation

Journal Article · Sat Oct 01 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.074009· OSTI ID:20713634

Diakonov, Dmitri ^[1]; Petrov, Victor ^[1]

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1. St. Petersburg Nuclear Physics Institute, Gatchina, 188 300, St. Petersburg (Russian Federation)

In the relativistic mean field approximation three quarks in baryons from the lowest octet and the decuplet are bound by the self-consistent chiral field, and there are additional quark-antiquark pairs whose wave function also follows from the mean field. We present a generating functional for the 3-quark, 5-quark, 7-quark . . . wave functions inside the octet, decuplet and antidecuplet baryons treated in a universal and compact way. The 3-quark components have the SU(6)-symmetric wave functions but with specific relativistic corrections which are generally not small. In particular, the normalization of the 5-quark component in the nucleon is about 50% of the 3-quark component. We give explicitly the 5-quark wave functions of the nucleon and of the exotic {theta}{sup +}. We develop a formalism how to compute observables related to the 3- and 5-quark Fock components of baryons, and apply it to estimate the {theta}{sup +} width which turns out to be very small, 2-4 MeV, although with a large uncertainty.

• OSTI ID: 20713634
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BOUND STATE
CHIRAL SYMMETRY
CHIRALITY
CORRECTIONS
HYPERONS
MEAN-FIELD THEORY
MEV RANGE
NONLINEAR PROBLEMS
NUCLEONS
PARTICLE WIDTHS
QUANTUM CHROMODYNAMICS
QUARK-ANTIQUARK INTERACTIONS
QUARKS
RELATIVISTIC RANGE
RESONANCE PARTICLES
SU-6 GROUPS
WAVE FUNCTIONS