Harmonic-oscillator pattern arising from an algebraic approach to chiral symmetry

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The Weinberg equation for the (mass)/sup 2/ operator (Q/sub 5//sup +/, (Q/sub 5//sup +/, m/sup 2/))=0, between meson states, is saturated in a perturbative approach. The generator Z of the mixing operators is completely established as Z=(W*M)/sub z/, where W is the W-spin operator and M is the co-or...

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Detalles Bibliográficos
Autores principales: Buccella, F, Celeghini, E, Savoy, C A
Lenguaje:eng
Publicado: 1972
Materias:
Particle Physics - Theory
Acceso en línea:http://cds.cern.ch/record/875803
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author Buccella, F
Celeghini, E
Savoy, C A
author_facet Buccella, F
Celeghini, E
Savoy, C A
author_sort Buccella, F
collection CERN
description The Weinberg equation for the (mass)/sup 2/ operator (Q/sub 5//sup +/, (Q/sub 5//sup +/, m/sup 2/))=0, between meson states, is saturated in a perturbative approach. The generator Z of the mixing operators is completely established as Z=(W*M)/sub z/, where W is the W-spin operator and M is the co-ordinate of the three-dimensional harmonic oscillator. In a perturbative expansion of the (mass)/sup 2/ operator, the lowest term consists of two parts, the harmonic-oscillator energy and a spin-orbit coupling of the form (-1)/sup L+1/(L.S+/sup 1///sub 2 /). The resulting (mass)/sup 2/ consists of families of equispaced linearly rising trajectories. (11 refs).
id cern-875803
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1972
record_format invenio
spelling cern-8758032019-09-30T06:29:59Zhttp://cds.cern.ch/record/875803engBuccella, FCeleghini, ESavoy, C AHarmonic-oscillator pattern arising from an algebraic approach to chiral symmetryParticle Physics - TheoryThe Weinberg equation for the (mass)/sup 2/ operator (Q/sub 5//sup +/, (Q/sub 5//sup +/, m/sup 2/))=0, between meson states, is saturated in a perturbative approach. The generator Z of the mixing operators is completely established as Z=(W*M)/sub z/, where W is the W-spin operator and M is the co-ordinate of the three-dimensional harmonic oscillator. In a perturbative expansion of the (mass)/sup 2/ operator, the lowest term consists of two parts, the harmonic-oscillator energy and a spin-orbit coupling of the form (-1)/sup L+1/(L.S+/sup 1///sub 2 /). The resulting (mass)/sup 2/ consists of families of equispaced linearly rising trajectories. (11 refs).CERN-TH-1345oai:cds.cern.ch:8758031972
spellingShingle Particle Physics - Theory
Buccella, F
Celeghini, E
Savoy, C A
Harmonic-oscillator pattern arising from an algebraic approach to chiral symmetry
title Harmonic-oscillator pattern arising from an algebraic approach to chiral symmetry
title_full Harmonic-oscillator pattern arising from an algebraic approach to chiral symmetry
title_fullStr Harmonic-oscillator pattern arising from an algebraic approach to chiral symmetry
title_full_unstemmed Harmonic-oscillator pattern arising from an algebraic approach to chiral symmetry
title_short Harmonic-oscillator pattern arising from an algebraic approach to chiral symmetry
title_sort harmonic-oscillator pattern arising from an algebraic approach to chiral symmetry
topic Particle Physics - Theory
url http://cds.cern.ch/record/875803
work_keys_str_mv AT buccellaf harmonicoscillatorpatternarisingfromanalgebraicapproachtochiralsymmetry
AT celeghinie harmonicoscillatorpatternarisingfromanalgebraicapproachtochiralsymmetry
AT savoyca harmonicoscillatorpatternarisingfromanalgebraicapproachtochiralsymmetry

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