Baryons as solitons

Thesis/Dissertation · Sat Dec 31 23:00:00 EST 1983

OSTI ID:5369405

Rajee, S G

Baryons are interpreted in the naive quark model as bound states of three quarks. Here, the author interprets them as solitonic bound states of mesons. This is natural in Quantum Chromodynamics, the theory of strong interactions. The low energy properties of chromodynamics are well accounted for by the chiral model. The Wess-Zumino anomaly plays a crucial role in this model. A derivation within the canonical formulation of the Wess-Zumino is given. It is shown that the anomaly leads to a modification of the current algebra. An operator that creates solitonic states out of the vacuum is constructed. It is shown that this operator is fermionic if the number of colors is odd. The Wess-Zumino anomaly is shown to be responsible for this fact. The anomaly is studied in detail in the simpler context of a two dimensional theory. The operator creating solitons is constructed and its equations of motion are found. This model has an infinite number of conserved charges satisfying a Kac-Moody algebra. A derivation of the Wess-Zumino anomaly starting from Quantum Chromodynamics is given. Further the Skyrme constant is calculated, within certain approximations. This enables us to calculate the mass of the soliton and it agrees with the baryon mass to 20%. The constants D and F that couple the baryons to mesons are also computed. They also agree to about 20%. Thus the identification of baryons as solitions of the chiral model is established.

• Research Organization: Syracuse Univ., NY (USA)
• OSTI ID: 5369405
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
BARYONS
CHIRALITY
COUPLING CONSTANTS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
HADRONS
MASS
MATHEMATICAL OPERATORS
MATHEMATICS
PARTICLE PROPERTIES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUASI PARTICLES
SOLITONS