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https://dx.doi.org/10.48550/ar...
Article . 1996
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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The Pion Mass Formula

Authors: Cahill, Reginald T.; Gunner, Susan M.;

The Pion Mass Formula

Abstract

The often used Gell-Mann–Oakes–Renner (GMOR) mass formula for Nambu-Goldstone (NG) bosons in QCD, such as the pions, involves the condensate ·q q Ò f p and the quark current masses. Within the context of the Global Colour Model (GCM) for QCD a manifestly different formula was recently found. Remarkably, Langfeld and Kettner have shown the two formulae to be equivalent. Here we note that the above recent analyses refer to the constituent pion and not the exact pion, even within the GCM. Further we generalise the Langfeld-Kettner identity to include the full response of the constituent quark correlators to the presence of a non-zero (and momentum dependent) quark current mass. Results are reported using an effective gluon correlator from meson data fitting.

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Keywords

High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), FOS: Physical sciences

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
gold