The $\Delta I = 1/2 $ Rule in the Light of Two-Dimensional QCD

We calculate in QCD$_2$ the ratios of baryonic matrix elements of $\Delta I = 2$ and $\Delta I = 0$ four-fermion operators, with a view to understanding better the mechanism of $\Delta I = 1/2$ enhancement in QCD$_4$. We find relatively small suppressions of both the scalar-scalar and vector-vector...

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Detalles Bibliográficos
Autores principales: Ellis, John R., Frishman, Yitzhak, Hanany, Amihay, Karliner, Marek
Lenguaje:eng
Publicado: 1996
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.55.3994
http://cds.cern.ch/record/315905
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author Ellis, John R.
Frishman, Yitzhak
Hanany, Amihay
Karliner, Marek
author_facet Ellis, John R.
Frishman, Yitzhak
Hanany, Amihay
Karliner, Marek
author_sort Ellis, John R.
collection CERN
description We calculate in QCD$_2$ the ratios of baryonic matrix elements of $\Delta I = 2$ and $\Delta I = 0$ four-fermion operators, with a view to understanding better the mechanism of $\Delta I = 1/2$ enhancement in QCD$_4$. We find relatively small suppressions of both the scalar-scalar and vector-vector these results, in view of a suggestion that gluon condensation may be an important contributing factor in the $\Delta I = 1/2$ enhancement seen in QCD$_4$. At the technical level, our calculation of the vector-vector operator matrix element requires a treatment of the time dependence of the QCD$_2$ soliton which had not been developed in previous phenomenological calculations within this model.
id cern-315905
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1996
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spelling cern-3159052023-03-12T05:57:01Zdoi:10.1103/PhysRevD.55.3994http://cds.cern.ch/record/315905engEllis, John R.Frishman, YitzhakHanany, AmihayKarliner, MarekThe $\Delta I = 1/2 $ Rule in the Light of Two-Dimensional QCDParticle Physics - PhenomenologyWe calculate in QCD$_2$ the ratios of baryonic matrix elements of $\Delta I = 2$ and $\Delta I = 0$ four-fermion operators, with a view to understanding better the mechanism of $\Delta I = 1/2$ enhancement in QCD$_4$. We find relatively small suppressions of both the scalar-scalar and vector-vector these results, in view of a suggestion that gluon condensation may be an important contributing factor in the $\Delta I = 1/2$ enhancement seen in QCD$_4$. At the technical level, our calculation of the vector-vector operator matrix element requires a treatment of the time dependence of the QCD$_2$ soliton which had not been developed in previous phenomenological calculations within this model.We calculate in QCD$_2$ the ratios of baryonic matrix elements of $\Delta I = 2$ and $\Delta I = 0$ four-fermion operators, with a view to understanding better the mechanism of $\Delta I = 1/2$ enhancement in QCD$_4$. We find relatively small suppressions of both the scalar-scalar and vector-vector $\Delta I = 2$ four-fermion operators. We discuss the possible implications of these results, in view of a suggestion that gluon condensation may be an important contributing factor in the $\Delta I = 1/2$ enhancement seen in QCD$_4$. At the technical level, our calculation of the vector-vector operator matrix element requires a treatment of the time dependence of the QCD$_2$ soliton which had not been developed in previous phenomenological calculations within this model.hep-ph/9611466CERN-TH-96-320IASSNS-HEP-96-114TAUP-2388-96WIS-41-96CERN-TH-96-320IASSNS-HEP-96-114TAUP-2388WIS-96-41-PHoai:cds.cern.ch:3159051996-11-28
spellingShingle Particle Physics - Phenomenology
Ellis, John R.
Frishman, Yitzhak
Hanany, Amihay
Karliner, Marek
The $\Delta I = 1/2 $ Rule in the Light of Two-Dimensional QCD
title The $\Delta I = 1/2 $ Rule in the Light of Two-Dimensional QCD
title_full The $\Delta I = 1/2 $ Rule in the Light of Two-Dimensional QCD
title_fullStr The $\Delta I = 1/2 $ Rule in the Light of Two-Dimensional QCD
title_full_unstemmed The $\Delta I = 1/2 $ Rule in the Light of Two-Dimensional QCD
title_short The $\Delta I = 1/2 $ Rule in the Light of Two-Dimensional QCD
title_sort $\delta i = 1/2 $ rule in the light of two-dimensional qcd
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1103/PhysRevD.55.3994
http://cds.cern.ch/record/315905
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