Abstract
Two sum rules are derived, relating moments of the spectral functions of the vector and axial-vector currents. If it is assumed that the $\ensuremath{\rho}$ and $A1$ mesons dominate these moments, then their masses must be in the ratio $\frac{{m}_{A1}}{{m}_{\ensuremath{\rho}}}=\sqrt{2}$, in very good agreement with experiment.
Keywords
MesonPhysicsPseudovectorSpectral lineParticle physicsMathematical physicsQuantum mechanics
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Publication Info
- Year
- 1967
- Type
- article
- Volume
- 18
- Issue
- 13
- Pages
- 507-509
- Citations
- 1229
- Access
- Closed
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Cite This
Steven Weinberg
(1967).
Precise Relations between the Spectra of Vector and Axial-Vector Mesons.
Physical Review Letters
, 18
(13)
, 507-509.
https://doi.org/10.1103/physrevlett.18.507
Identifiers
- DOI
- 10.1103/physrevlett.18.507