Estimates for parameters and characteristics of the confining SU(3)-gluonic field in charged pions and kaons from leptonic decays and chiral symmetry breaking

Abstract

The confinement mechanism proposed earlier by the author is employed for to compute the decay constants $f_P$ corresponding to leptonic decays $P\to l^{\pm }+{\nu }_l$, $l=\mu ,e$, where $P$ stands for any meson from ${\pi }^{\pm }$, $K^{\pm }$. For this aim the weak axial form factor of $P$-meson is nonperturbatively calculated. The study entails estimates for parameters of the confining SU(3)-gluonic field in charged pions and kaons. The corresponding estimates of the gluon concentrations, electric and magnetic colour field strengths are also adduced for the mentioned field at the scales of the mesons under consideration. Further the obtained results are applied to the problem of chiral symmetry breaking in quantum chromodynamics (QCD). It is shown that in chirally symmetric world masses of pions and kaons are fully determined by the confining SU(3)-gluonic field among (massless) $u$, $d$ and $s$ quarks and not equal to zero. Accordingly chiral symmetry is sufficiently rough approximate one holding true only when neglecting the mentioned SU(3)-gluonic field between quarks and no additional mechanism of the spontaneous chiral symmetry breaking connected to the so-called Goldstone bosons is required. Finally, a possible relation of the results obtained with a phenomenological string-like picture of confinement is discussed too.

arXiv comment31 pages, LaTeX, 2 figures. Nucl. Phys. A812 (2008) to appear

References in corpus (17)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Scalar mesons above and below 1 GeV
• Restoration of chiral and $U(1{)}_A$ symmetries in excited hadrons
• Experimental determination of the effective strong coupling constant
• Meson Decays In A Quark Model
• Black hole physics, confining solutions of SU(3)-Yang-Mills equations and relativistic models of mesons
• Structure of the confining solutions for SU(3)-Yang-Mills equations and confinement mechanism
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in the ground state of toponium: Relativistic and nonrelativistic approaches
• Dirac equation in the confining SU(3)-Yang-Mills field and relativistic effects in charmonium spectrum
• Estimates of the gluon concentrations in the confining SU(3)-Yang-Mills field for the first three states of charmonium
• Measurement of the Q^2-evolution of the Bjorken integral and extraction of an effective strong coupling constant at low Q^2
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in pions and kaons
• Twisted spinors on Schwarzschild and Reissner-Nordstrom black holes
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in π^0-meson from one- and two-photon decays
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in $\eta$-meson from two-photon decay
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in an ${\eta }^{\prime }$-meson

Cited by in corpus (5)

• Classical model of confinement
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in neutral kaons and chiral limit for pseudoscalar nonet
• Exact solutions of (n + 1)-dimensional Yang-Mills equations in curved space-time
• Quark confinement mechanism and the scale ${\Lambda }_{QCD}$
• Estimates for Parameters and Characteristics of the Confining SU(3)-gluonic Field in $\varphi$-meson from Leptonic Widths