6533b836fe1ef96bd12a09fd
RESEARCH PRODUCT
Novel patterns for vector mesons from the large-Nc limit
Oscar CataVicent Mateusubject
CombinatoricsQuantum chromodynamicsPhysicsNuclear and High Energy PhysicsParticle physicsHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)MesonExcited stateLattice (order)FOS: Physical sciencesSum rule in quantum mechanicsCurrent vectordescription
We report on a relation between the decay constants of \rho-like J^{PC}=1^{--} vector mesons, which arises solely from the perturbative analysis of the VV, TT and VT correlators at order \alpha_s^0 in the large-N_c limit. We find f_{V}^T/f_{V}=1/\sqrt{2} for highly excited states together with a pattern of alternation in sign. Quite remarkably, recent lattice determinations reported f_{\rho}^T/f_{\rho}=0.72(2), in excellent agreement with our large-N_c result. This seems to suggest a pattern like f_{Vn}^T/f_{Vn}=(-1)^n/\sqrt{2} for the whole (1^{--}) states. In order to test this conjecture in real QCD we construct a set of spectral sum rules, which turn out to comply nicely with this scenario.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-06-23 |