Excited pions, rho- and omega-mesons and their decays in a chiral SU(2) x SU(2) Lagrangian

Abstract

A chiral SU(2) x SU(2) Lagrangian containing, besides the usual meson fields, their first radial excitations is considered. The Lagrangian is derived by bosonization of the Nambu-Jona-Lasinio quark model with separable non-local interactions, with form factors corresponding to 3-dimensional ground and excited state wave functions. The spontaneous breaking of chiral symmetry is governed by the NJL gap equation. The first radial excitations of the pions, rho-and omega-mesons are described with the help of two form factors. The weak decay constant F_pi' is calculated. The values for the decay widths of the processes rho -> 2 pi, pi' -> rho pi, rho' -> 2 pi, rho' -> omega pi and omega' -> rho pi are obtained in agreement with the experimental data.

16 pages, Latex, epsfig

Cited by in corpus (35)

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• Quasi-two-body decays $B_{(s)}\to P{\rho }^{\prime }(1450),P{\rho }^{\prime \prime }(1700)\to P\pi \pi$ in the perturbative QCD approach
• Excited Scalar and Pseudoscalar Mesons in the Extended Linear Sigma Model
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• The decay $\tau \to \pi \omega \nu$ in the extended NJL model
• The process $e^{+}{e}^{-}\to \eta ({\eta }^{\prime })2\pi$ in the extended NJL model
• Production of $\omega {\pi }^0$ pair in electron-positron annihilation
• Excited scalar mesons in a chiral quark model
• Processes $e^{+}{e}^{-}\to {\pi }^0({{\pi }^0}^{\prime })\gamma$ in the NJL model
• ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$ decay in the extended NJL model
• Strong decays of radially excited mesons in a chiral approach
• Radial excitations of scalar and η, η' mesons in a chiral quark model
• The processes $e^{+}{e}^{-}\to \pi \pi ({\pi }^{\prime })$ in the extended NJL model
• $\tau \to f_1(1285){\pi }^{-}{\nu }_{\tau }$ decay in the extended Nambu -- Jona-Lasinio model
• Processes of $e^{+}{e}^{-}\to (\eta ,{\eta }^{\prime },\eta (1295),\eta (1475))\gamma$ in the extended Nambu -- Jona-Lasinio model
• Decays of excited strange mesons in the extended NJL model
• The decays $\tau \to (K,K(1460)){\nu }_{\tau }$ and the value of the weak decay coefficients $F_K$ and $F_{K^{{}^{\prime }}}$ in the extended NJL model
• The decay $\tau \to K^{-}{\pi }^0{\nu }_{\tau }$ in the Nambu-Jona-Lasinio model
• The decay $\tau \to K^0{K}^{-}{\nu }_{\tau }$ in the extended Nambu-Jona-Lasinio model
• The decays $\tau \to [\omega (782),\varphi (1020)]K^{-}{\nu }_{\tau }$ in the extended NJL model
• Production of ${\pi }^0{\rho }^0$ pair in electron-positron annihilation in the Nambu-Jona-Lasinio model
• Decay of the pseudoscalar glueball and its first excited state into scalar and pseudoscalar mesons and their first excited states
• Strong decays of vector mesons to pseudoscalar mesons in the relativistic quark model
• Radiative decays of radially excited mesons ${{\pi }^0}^{\prime }$, ${{\rho }^0}^{\prime }$, ${\omega }^{\prime }$ in NJL model
• Production of $\rho (770)$, $\eta$ pairs in the decays $\rho (1450)\to \rho (770)\eta$, $\tau \to \rho (770)\eta {\nu }_{\tau }$, and in the process of $e^{+}{e}^{-}\to \rho (770)\eta$ in the Extended Nambu - Jona-Lasinio model
• Two-photon decays and photoproduction on electrons of $\eta (550)$, ${\eta }^{\prime }(958)$, $\eta (1295)$, and $\eta (1475)$ mesons
• Radially Excited Axial-Vector Mesons in the extended Nambu--Jona-Lasinio model
• Decays of $\tau \to \rho (770)({\rho }^{\prime }(1450)){\nu }_{\tau }$ and $\tau \to K^{\ast }(892)(K^{{\ast }^{\prime }}(1410)){\nu }_{\tau }$ in the extended Nambu - Jona- Lasinio model
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• The decays $\tau \to {\nu }_{\tau }(K^{\ast }(892),K^{\ast }(1410),K_1(1270),K_1(1650),a_1(1260),a_1(1640))$ in the Extended Nambu-Jona-Lasinio Model
• Radiative decays of radially excited pseudoscalar mesons in the extended Nambu--Jona-Lasinio model
• Low energy process $e^{+}{e}^{-}\to K^{+}{K}^{-}$ in the extended Nambu-Jona-Lasinio model
• Cancellation of the sigma mode in the thermal pion gas by quark Pauli blocking