Charged pions and kaons weak leptonic decays at finite density

Jan, 2004
10 pages
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Abstract:
The weak leptonic decays π±μ±νμ(νˉμ),π±e±νe(νˉe),K±μ±νμ(νˉμ)\pi^\pm\to\mu^\pm\nu_{\mu}(\bar{\nu}_{\mu}), \pi^\pm\to e^\pm\nu_e(\bar{\nu}_{e}), K^\pm\to\mu^\pm\nu_{\mu}(\bar{\nu}_{\mu}) and K±e±νe(νˉe)K^\pm\to e^\pm \nu_e(\bar{\nu}_{e}) are investigated within the framework of the SU(3) Nambu-Jona-Lasinio model, in the vacuum and in quark matter in β\beta equilibrium. It is found that, at low densities, the decay rates of the charge multiplets, that are decoupled in this kind of flavor asymmetric matter, are affected differently. As the density increases, these decay rates become closer and show a tendency to vanish. This shows that weak interactions are strongly influenced by the medium as a consequence of restoration of chiral symmetry.
  • pi: leptonic decay
  • K: leptonic decay
  • quark: matter
  • matter: density
  • Jona-Lasinio-Nambu model
  • symmetry: SU(3)
  • symmetry: chiral
  • pi: width
  • K: width
  • pi: mass