Skyrmion quantization and the decay of the [Delta]

Journal Article · Tue Nov 01 04:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.5816· OSTI ID:6924202

Dorey, N ^[1]; Hughes, J ^[2]; Mattis, M P ^[3]

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1. Physics Department, University College of Swansea, Swansea SA2 8PP (United Kingdom)
2. Physics Department, Michigan State University, East Lansing, Michigan 48823 (United States)
3. Theoretical Division T-8, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

We present the complete solution to the so-called Yukawa problem'' of the Skyrme model. This refers to the perceived difficulty of reproducing, purely from soliton physics, the usual pseudovector pion-nucleon coupling, echoed by pion coupling to the higher-spin/isospin baryons ([ital I]=[ital J]=3/2, 5) / 2 ,. . .,([ital N][sub [ital c]]/2) in a manner fixed by large-[ital N][sub [ital c]] group theory. The solution involves surprisingly elegant interplay between the classical and quantum properties of a new configuration: the [ital rotationally] [ital improved] [ital Skyrmion]. This is the near-hedgehog solution obtained by minimizing the usual Skyrmion mass functional augmented by an all-important (iso)rotational kinetic term. The numerics are pleasing: a [Delta] decay width within a few MeV of its measured value, and, furthermore, the higher-spin baryons ([ital I]=[ital J][ge]5/2) with widths so large ([Gamma][gt]800 MeV) that these undesirable large-[ital N][sub [ital c]] artifacts effectively drop out of the spectrum, and pose no phenomenological problem. Beyond these specific results, we ground the Skyrme model in the Feynman path integral, and set up a transparent collective coordinate formalism that makes maximal use of the 1/[ital N][sub [ital c]] expansion. This approach elucidates the connection between Skyrmions on the one hand, and Feynman diagrams in an effective field theory on the other.

• OSTI ID: 6924202
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:9; 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-)
662240* -- Models for Strong Interactions-- (1992-)
662360 -- Decays of Baryons-- (1992-)
662410 -- Properties of Baryons & Baryon Resonances-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
COUPLING
DECAY
DELTA BARYONS
DIAGRAMS
ELEMENTARY PARTICLES
ENERGY LEVELS
FERMIONS
FEYNMAN DIAGRAM
FEYNMAN PATH INTEGRAL
HADRON-HADRON INTERACTIONS
HADRONS
HIGH SPIN STATES
INTEGRALS
INTERACTIONS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
N BARYONS
NUCLEON-NUCLEON POTENTIAL
PARTICLE DECAY
PARTICLE INTERACTIONS
PION-NUCLEON INTERACTIONS
POTENTIALS
QUANTIZATION
QUASI PARTICLES
SKYRME POTENTIAL
SOLITONS
SPECTRA