Quantization of the Skyrmion

Journal Article · Sun Feb 28 23:00:00 EST 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.2113· OSTI ID:6747928

Cebula, D P; Klein, A; Walet, N R ^[1]

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1. Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396 (United States)

We apply the Kerman-Klein method of quantization, an approach based on Heisenberg matrix mechanics, to the Skyrme model. In this approach the operator equations of motion and kinematical constraints are evaluated within an appropriately chosen Hilbert space, and the resulting set of [ital c]-number equations is solved to determine the values of matrix elements of the field operators. These values permit predictions for physical observables. The Kerman-Klein method allows symmetries to be maintained throughout the computation, a property shared with methods based on variation after projection techniques. In this report we concentrate on the quantization of the rotational zero modes of a Skyrmion. We show that the restoration of rotational symmetry leads to a [Delta] state that is larger than the nucleon and to a modification of the values of observables.

• DOE Contract Number: AC02-84ER40132
• OSTI ID: 6747928
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:5; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
ELEMENTARY PARTICLES
FERMIONS
FIELD OPERATORS
FIELD THEORIES
HADRONS
LAGRANGIAN FIELD THEORY
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
NUCLEON-NUCLEON POTENTIAL
NUCLEONS
POTENTIALS
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SKYRME POTENTIAL