Year-end Sale % OFF 
Abstract
We evaluate the a_1(1260) rightarrow pi sigma (f_0(500)) decay width from the perspective that the a_1(1260) resonance is dynamically generated from the pseudoscalar–vector interaction and the sigma arises from the pseudoscalar–pseudoscalar interaction. A triangle mechanism with a_1(1260) rightarrow rho pi followed by rho rightarrow pi pi and a fusion of two pions within the loop to produce the sigma provides the mechanism for this decay under these assumptions for the nature of the two resonances. We obtain widths of the order of 13–22 MeV. Present experimental results differ substantially from each other, suggesting that extra efforts should be devoted to the precise extraction of this important partial decay width, which should provide valuable information on the nature of the axial vector and scalar meson resonances and help clarify the role of the pi sigma channel in recent lattice QCD calculations of the a_1.
Highlights
Lagrangian of Ref. [7]
The P V interaction shows a peculiarity since one can make the transition P V → V P mediated by a pseudoscalar exchange of one P from the decay of V → P P
One can rely on the information for the axial vector mesons obtained within the chiral unitary approach with the chiral Lagrangian of Ref. [7]
Summary
Lagrangian of Ref. [7]. In Ref. [8], for the particular case of the ρπ interaction, and in Ref. [9] for the general V P interaction, it was shown that this Lagrangian can be obtained from the exchange of vector mesons within the local hidden gauge approach [8,10,11,12]. The prediction of the partial decay width a1 → π σ in the present paper is, essential to assess the role of such subdominant channels in upcoming lattice QCD calculations. Recent work on triangle mechanisms to describe different processes can be seen in Refs. Use two-body amplitudes for the sub-channels in contrast to earlier work [63] in this direction None of these frameworks or related theoretical studies [64,65] have performed a refit of the CLEO Dalitz distributions [55] which are among the most precise sources of information on the a1 decay modes. [52] in the study of a1(1260) → π +π +π − decay, where the tree level a1(1260) → ρπ together with final state interaction of two pions via a triangle loop mechanism are considered. The precise evaluation of this decay mode is the purpose of the present work
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
