Sum rule analysis of vector and axial-vector spectral functions with excited states in vacuum

作者：Hohler Paul M^*; Rapp Ralf

来源：Nuclear Physics A, 2012, 892: 58-72.

DOI：10.1016/j.nuclphysa.2012.08.003

• Sum rules
• Vector mesons
• Axial-vector mesons

We simultaneously analyze vector and axial-vector spectral functions in vacuum using hadronic models constrained by experimental data and the requirement that Weinberg-type sum rules are satisfied. Upon explicit inclusion of an excited vector state, viz. rho', and the requirement that the perturbative continua are degenerate in vector and axial-vector channels, we deduce the existence of an excited axial-vector resonance state, alpha(1)', in order that the Weinberg sum rules are satisfied. The resulting spectral functions are further tested with QCD sum rules.

• 出版日期2012-10-15