Periodic orbits of the Skyrmion breathing mode: Classical and quantal analysis

Journal Article · Thu Oct 01 00:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.3180· OSTI ID:7261899

Abada, A; Vautherin, D ^[1]

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1. Division de Physique Theorique, Institut de Physique Nucleaire, F-91406, Orsay CEDEX (France)

We construct the periodic classical orbits of the Skyrmion breathing mode by a perturbation expansion in the amplitude of the vibration. We first examine the lowest-order construction associated with linear response theory. We find that the monopole response function exhibits a sharp unbound peak which we identify to the Roper resonance {ital N}(1440). A calculation of second-order terms provides an evaluation of the anharmonic corrections. In a second part, we construct a collective Bohr-type Hamiltonian using the knowledge of periodic trajectories. This provides a natural requantization scheme with which we calculate the spectrum of monopole excitations of the Skyrmion. Finally we apply our results to the calculation of color transparency effects. We find that anharmonicities decrease significantly the time taken by a nucleon of small radius to regain its normal size. This effect should diminish the importance of the color transparency phenomenon.

• OSTI ID: 7261899
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 46:7; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM CHROMODYNAMICS
SKYRME POTENTIAL
CLASSICAL MECHANICS
COLOR MODEL
HAMILTONIANS
LAGRANGIAN FUNCTION
MEAN-FIELD THEORY
MONOPOLES
N-1440 BARYONS
PERTURBATION THEORY
PHASE SHIFT
RESPONSE FUNCTIONS
SOLITONS
TIME DEPENDENCE
BARYONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
N BARYONS
NUCLEON-NUCLEON POTENTIAL
PARTICLE MODELS
POTENTIALS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
QUASI PARTICLES
662230* - Quantum Chromodynamics- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)