Stability of quantized chiral soliton with the Skyrme term

Journal Article · Sun Sep 01 00:00:00 EDT 1991 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.44.1578· OSTI ID:5150319

Sawada, S; Yang, K ^[1]

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1. Department of Physics, Nagoya University, Nagoya 464 (Japan)

Stability of the chiral soliton with the Skyrme term that is quantized by taking account of breathing modes in addition to the spin-isospin rotation is examined on the basis of a family of trial functions for the profile function of the hedgehog ansatz. It is shown that when the effects of the Skyrme term are sufficiently strong (small Skyrme term constant {ital e}), the eigenstates of lower spin-isospin are stable, having finite contributions both from the rotational and breathing modes. On the other hand when the effects of the Skyrme term are weak ({ital e}{gt}5), the spin-isospin rotational and the breathing modes are completely frozen and all states tend to infinitely degenerate states labeled by the constant SU(2) matrices.

• OSTI ID: 5150319
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 44:5; 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
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
ISOSPIN
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL MODELS
NUCLEON-NUCLEON POTENTIAL
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PERIPHERAL MODELS
POTENTIALS
QUANTIZATION
QUASI PARTICLES
SCHROEDINGER EQUATION
SIGMA MODEL
SKYRME POTENTIAL
SOLITONS
SPIN
STABILITY
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
WAVE EQUATIONS