On the Laplace Transform of the Weinberg Type Sum Rules and on the Properties of Pseudoscalar Mesons

Oct, 1981
21 pages
Published in:
  • Z.Phys.C 14 (1982) 263
Report number:
  • LAPP-TH-51

Citations per year

198219922002201220210123456
Abstract: (Springer)
We reanalyse the Weinberg type sum rules in the light of the Laplace transform sum rule and including the leading non-perturbative effects. We then estimate the light quark invariant massesm^s/m^d,m^um^d\hat m_s /\hat m_d ,\hat m_u \hat m_d ; the pion decay amplitudefπ and theA1 coupling and mass. Using other type of sum rules, we derive bounds on the pseudoscalar decay amplitudesfp(P≡π, K, D, F) as well as on the gluon component of theU(1)A meson mass. Our main results are summarized in Sect. 4.
  • CURRENT ALGEBRA: SUM RULE
  • EFFECT: NONPERTURBATIVE
  • QUARK: MASS RATIO
  • MASS RATIO: QUARK
  • PSEUDOSCALAR MESON: DECAY WIDTH
  • DECAY WIDTH: PSEUDOSCALAR MESON
  • CURRENT: AXIAL-VECTOR
  • A1(1100-1300): MASS
  • MASS: A1(1100-1300)
  • A1(1100-1300): COUPLING CONSTANT