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In [[particle physics]], the '''pion decay constant''' is the [[square root]] of the coefficient in front of the [[kinetic term]] for the [[pion]] in the [[chiral perturbation theory|low-energy effective action]]. It is dimensionally an [[energy scale]] and it determines the strength of the [[chiral symmetry breaking]]. The values are:
:<math>f_{\pi^{\pm}} = 130.41 \pm 0.03 \pm 0.20~\mbox{MeV}</math>
:<math>f_{\pi^{0}} = 130 \pm 5~\mbox{MeV}</math>
 
Beware: There are several conventions which differ by powers of <math>\scriptstyle \sqrt{2}</math>.  The textbook by Weinberg uses the value 184 MeV.  The textbook by Peskin and Schroeder uses the value 93 MeV.
 
== References ==
 
# [http://stacks.iop.org/JPhysG/33/1 Particle Data Group: W.-M. Yao ''et al.'', J. Phys. G 33, 1 (2006).]
# {{cite book | author=Griffiths, David J. | title=Introduction to Elementary Particles | publisher=Wiley, John & Sons, Inc | year=1987 | isbn=0-471-60386-4}}
# [http://pdg.lbl.gov/2012/reviews/rpp2012-rev-pseudoscalar-meson-decay-cons.pdf Particle Data Group: Decay constants of charged pseudoscalar mesons]
 
== External links ==
 
# [http://pdg.lbl.gov Particle Data Group & WWW edition of ''Review of Particle Physics'']
 
[[Category:Quantum chromodynamics]]
 
 
{{particle-stub}}

Revision as of 15:36, 2 November 2013

In particle physics, the pion decay constant is the square root of the coefficient in front of the kinetic term for the pion in the low-energy effective action. It is dimensionally an energy scale and it determines the strength of the chiral symmetry breaking. The values are:

fπ±=130.41±0.03±0.20MeV
fπ0=130±5MeV

Beware: There are several conventions which differ by powers of 2. The textbook by Weinberg uses the value 184 MeV. The textbook by Peskin and Schroeder uses the value 93 MeV.

References

  1. Particle Data Group: W.-M. Yao et al., J. Phys. G 33, 1 (2006).
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  3. Particle Data Group: Decay constants of charged pseudoscalar mesons

External links

  1. Particle Data Group & WWW edition of Review of Particle Physics


Template:Particle-stub