Spin of SU(2) chiral solitons

Journal Article · Thu Aug 15 00:00:00 EDT 1991 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.44.1311· OSTI ID:5310262

Jaroszewicz, T ^[1]

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1. Department of Physics, University of California at Los Angeles, Los Angeles, California (USA)

Spin quantization ambiguity of the SU(2) (two-flavor) Skyrmion is reexamined by exploiting its analogy to the top, as a mechanical model of spin. The Skyrme model is considered to be an idealization of a {ital linear} {sigma} model, analogous to the idealization made when representing a top as a rigid body. The soliton of the linear {sigma} model is not topologically, but rather {ital energetically} stable. It is shown that, in the absence of fermions, it must be quantized as an integer-spin object. It is also shown that the half-integer spin of the considered soliton arises from vacuum fluctuations of only up and down quarks; i.e., there is no need of introducing the third flavor.

• DOE Contract Number: FG03-88ER40424
• OSTI ID: 5310262
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 44:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BOSON-EXCHANGE MODELS
CHIRALITY
COMPOSITE MODELS
ELEMENTARY PARTICLES
FERMIONS
FLAVOR MODEL
LIE GROUPS
MATHEMATICAL MODELS
NUCLEON-NUCLEON POTENTIAL
PARTICLE MODELS
PARTICLE PROPERTIES
PERIPHERAL MODELS
POSTULATED PARTICLES
POTENTIALS
QUANTIZATION
QUARK MODEL
QUARKS
QUASI PARTICLES
SIGMA MODEL
SKYRME POTENTIAL
SO GROUPS
SO-3 GROUPS
SOLITONS
SPIN
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
VACUUM STATES