Bootstrap equations with restricted SU(3) symmetry and the Cabibbo angle

The bootstrap equations for vector (v) and axial vector (a) octet matrix elements are studied. It is concluded that the equations in their most general form always have solutions with at least two free parameters, so that they may not be used to make unique physical predictions. The need for complet...

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Detalles Bibliográficos
Autores principales: Campbell, J A, Green, H S, Leipnik, R B
Lenguaje:eng
Publicado: 1973
Materias:
Computing and Computers
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.9.2451
http://cds.cern.ch/record/1050572
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author Campbell, J A
Green, H S
Leipnik, R B
author_facet Campbell, J A
Green, H S
Leipnik, R B
author_sort Campbell, J A
collection CERN
description The bootstrap equations for vector (v) and axial vector (a) octet matrix elements are studied. It is concluded that the equations in their most general form always have solutions with at least two free parameters, so that they may not be used to make unique physical predictions. The need for completeness of sums over repeated indices is questioned. As an example of what happens when the condition of completeness is relaxed, the equations exclusive of terms which represent weak neutral currents, and with no driving terms, are solved to give a Cabibbo angle which is 0.28 without adjustable parameters.
id cern-1050572
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1973
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spelling cern-10505722019-09-30T06:29:59Zdoi:10.1103/PhysRevD.9.2451http://cds.cern.ch/record/1050572engCampbell, J AGreen, H SLeipnik, R BBootstrap equations with restricted SU(3) symmetry and the Cabibbo angleComputing and ComputersMathematical Physics and MathematicsThe bootstrap equations for vector (v) and axial vector (a) octet matrix elements are studied. It is concluded that the equations in their most general form always have solutions with at least two free parameters, so that they may not be used to make unique physical predictions. The need for completeness of sums over repeated indices is questioned. As an example of what happens when the condition of completeness is relaxed, the equations exclusive of terms which represent weak neutral currents, and with no driving terms, are solved to give a Cabibbo angle which is 0.28 without adjustable parameters.CERN-DD-73-6oai:cds.cern.ch:10505721973-02-01
spellingShingle Computing and Computers
Mathematical Physics and Mathematics
Campbell, J A
Green, H S
Leipnik, R B
Bootstrap equations with restricted SU(3) symmetry and the Cabibbo angle
title Bootstrap equations with restricted SU(3) symmetry and the Cabibbo angle
title_full Bootstrap equations with restricted SU(3) symmetry and the Cabibbo angle
title_fullStr Bootstrap equations with restricted SU(3) symmetry and the Cabibbo angle
title_full_unstemmed Bootstrap equations with restricted SU(3) symmetry and the Cabibbo angle
title_short Bootstrap equations with restricted SU(3) symmetry and the Cabibbo angle
title_sort bootstrap equations with restricted su(3) symmetry and the cabibbo angle
topic Computing and Computers
Mathematical Physics and Mathematics
url https://dx.doi.org/10.1103/PhysRevD.9.2451
http://cds.cern.ch/record/1050572
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AT greenhs bootstrapequationswithrestrictedsu3symmetryandthecabibboangle
AT leipnikrb bootstrapequationswithrestrictedsu3symmetryandthecabibboangle

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