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Anathematizing the Guralnik-Manohar bound for $\overline{\Lambda}$

There is a recent claim by Guralnik and Manohar \cite{GM} to have established a rigorous lower bound on $\bar \Lambda$, the asymptotic difference between the mass of a heavy flavour {\em hadron} and that of the heavy flavour {\em quark}. We point out the flaw in their reasoning and discuss the under...

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Detalles Bibliográficos
Autores principales: Bigi, Ikaros I.Y., Uraltsev, N.G.
Lenguaje:eng
Publicado: 1994
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(94)90268-2
http://cds.cern.ch/record/255684
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author Bigi, Ikaros I.Y.
Uraltsev, N.G.
author_facet Bigi, Ikaros I.Y.
Uraltsev, N.G.
author_sort Bigi, Ikaros I.Y.
collection CERN
description There is a recent claim by Guralnik and Manohar \cite{GM} to have established a rigorous lower bound on $\bar \Lambda$, the asymptotic difference between the mass of a heavy flavour {\em hadron} and that of the heavy flavour {\em quark}. We point out the flaw in their reasoning and discuss the underlying physical problem. An explicit counterexample to the GM bound is given; one can therefore not count on a refined proof to re-establish this bound. *********** Uses LaTeX No figures No macros file used.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1994
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spelling cern-2556842023-03-14T18:52:16Zdoi:10.1016/0370-2693(94)90268-2http://cds.cern.ch/record/255684engBigi, Ikaros I.Y.Uraltsev, N.G.Anathematizing the Guralnik-Manohar bound for $\overline{\Lambda}$Particle Physics - TheoryThere is a recent claim by Guralnik and Manohar \cite{GM} to have established a rigorous lower bound on $\bar \Lambda$, the asymptotic difference between the mass of a heavy flavour {\em hadron} and that of the heavy flavour {\em quark}. We point out the flaw in their reasoning and discuss the underlying physical problem. An explicit counterexample to the GM bound is given; one can therefore not count on a refined proof to re-establish this bound. *********** Uses LaTeX No figures No macros file used.There is a recent claim by Guralnik and Manohar [Phys. Lett. B 302 (1993) 103] to have established a rigorous lower bound on Λ , the asymptotic difference between the mass of a heavy flavour hadron and that of the heavy flavour quark . We point out the flaw in their reasoning and discuss the underlying physical problem. An explicit counterexample to the GM bound is given; therefore, one cannot count on a refined proof to re-establish this bound.hep-ph/9311337CERN-TH-7091-93UND-HEP-93-BIG07CERN-TH-7091-93UND-HEP-93-BIG-07oai:cds.cern.ch:2556841994
spellingShingle Particle Physics - Theory
Bigi, Ikaros I.Y.
Uraltsev, N.G.
Anathematizing the Guralnik-Manohar bound for $\overline{\Lambda}$
title Anathematizing the Guralnik-Manohar bound for $\overline{\Lambda}$
title_full Anathematizing the Guralnik-Manohar bound for $\overline{\Lambda}$
title_fullStr Anathematizing the Guralnik-Manohar bound for $\overline{\Lambda}$
title_full_unstemmed Anathematizing the Guralnik-Manohar bound for $\overline{\Lambda}$
title_short Anathematizing the Guralnik-Manohar bound for $\overline{\Lambda}$
title_sort anathematizing the guralnik-manohar bound for $\overline{\lambda}$
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0370-2693(94)90268-2
http://cds.cern.ch/record/255684
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