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Title: Spectral-Fluctuations Test of the Quark-Model Baryon Spectrum

Abstract

We study the low-lying baryon spectrum (up to 2.2 GeV) provided by experiments and different quark models using statistical tools which allow us to postulate the existence of missing levels in spectra. We confirm that the experimental spectrum is compatible with random matrix theory, the paradigmatic model of quantum chaos, and we find that the quark models are more similar to a Poisson distribution, which is not compatible with what should be expected in a correlated spectrum. From our analysis it stems that the spectral fluctuation properties of quark-model spectra are incompatible with experimental data. This result can be used to enlighten the problem of missing resonances.

Authors:
;  [1]
  1. Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid (Spain)
Publication Date:
OSTI Identifier:
20955442
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevLett.98.062001; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYONS; CHAOS THEORY; GEV RANGE 01-10; QUARK MODEL; RANDOMNESS

Citation Formats

Fernandez-Ramirez, C., and Relano, A. Spectral-Fluctuations Test of the Quark-Model Baryon Spectrum. United States: N. p., 2007. Web. doi:10.1103/PHYSREVLETT.98.062001.
Fernandez-Ramirez, C., & Relano, A. Spectral-Fluctuations Test of the Quark-Model Baryon Spectrum. United States. doi:10.1103/PHYSREVLETT.98.062001.
Fernandez-Ramirez, C., and Relano, A. Fri . "Spectral-Fluctuations Test of the Quark-Model Baryon Spectrum". United States. doi:10.1103/PHYSREVLETT.98.062001.
@article{osti_20955442,
title = {Spectral-Fluctuations Test of the Quark-Model Baryon Spectrum},
author = {Fernandez-Ramirez, C. and Relano, A.},
abstractNote = {We study the low-lying baryon spectrum (up to 2.2 GeV) provided by experiments and different quark models using statistical tools which allow us to postulate the existence of missing levels in spectra. We confirm that the experimental spectrum is compatible with random matrix theory, the paradigmatic model of quantum chaos, and we find that the quark models are more similar to a Poisson distribution, which is not compatible with what should be expected in a correlated spectrum. From our analysis it stems that the spectral fluctuation properties of quark-model spectra are incompatible with experimental data. This result can be used to enlighten the problem of missing resonances.},
doi = {10.1103/PHYSREVLETT.98.062001},
journal = {Physical Review Letters},
number = 6,
volume = 98,
place = {United States},
year = {Fri Feb 09 00:00:00 EST 2007},
month = {Fri Feb 09 00:00:00 EST 2007}
}