Even-wave harmonic-oscillator theory of baryonic states. III. Decay analysis of baryon resonances

Journal Article · Sun Jan 01 04:00:00 EST 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.17.340· OSTI ID:5076078

Kamath, S G; Mitra, A N

A new classification of 70 states, i.e., (l,u) for L/sup P/ = 1 and (l,m,u) for L/sup P/ = 2/sup +/, as well as a relativistic formulation of orbital matrix elements for their decays, derived in two earlier papers (I and II of the series), are employed in this paper to make an extensive analysis of various pseudoscalar decay modes in the language of ''direct'' versus ''recoil'' quark couplings. A 56-70 octet mixing angle (cottheta = -..sqrt..2), which was needed in II to produce several important low-energy fits, is also found to play a crucial role in the present analysis which makes a priori quantum assignments for the various states on the basis of their mass positions. By making one exception to the rule of SU(6) unsplit states in this theory, i.e., an upward mass shift of l (8/sub q/) states so as to overlap with their u counterparts, it is not only possible to understand the earlier successes of this model on the anomaly implicit in p..gamma.. and n..gamma.. photoproduction of D/sub 15/, but also to account for a few other similar anomalies (especially the NK-bar versus ..sigma pi.. mode of D/sub 05/(1830)), none of which are amenable to the usual harmonic-oscillator-type description without elaborate mixing assumptions. On the other hand, most other u-type states which cause the bulk of the proliferation of the low-lying states in this theory do not pose a serious problem of immediate detection in view of their generally low partial widths compared to their l-type counterparts.

• Research Organization: Department of Physics, University of Delhi, Delhi-110007, India
• OSTI ID: 5076078
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 17:1; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
645203 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYON RESONANCES
BARYONS
BASIC INTERACTIONS
COMPOSITE MODELS
COUPLING CONSTANTS
DECAY
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
ENERGY LEVELS
EXCITED STATES
FERMIONS
HADRONS
HARMONIC OSCILLATORS
INTERACTIONS
LIE GROUPS
MASS SPECTRA
MATHEMATICAL MODELS
MATRIX ELEMENTS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PRODUCTION
PHOTOPRODUCTION
QUARK MODEL
REGGE TRAJECTORIES
RESONANCE PARTICLES
SPECTRA
SU GROUPS
SU-6 GROUPS
SYMMETRY GROUPS