The $$\pi f_0(500)$$ decay of the $$a_1(1260)$$

Molina, R.; Döring, M.; Liang, W. H.; Oset, E.

doi:10.1140/epjc/s10052-021-09574-y

Title: The $$$$\pi f_0(500)$$$$ decay of the $$$$a_1(1260)$$$$

Journal Article · 02 September 2021 · European Physical Journal. C, Particles and Fields

DOI: https://doi.org/10.1140/epjc/s10052-021-09574-y · OSTI ID:1923382

; Döring, M.; Liang, W. H.; Oset, E.

Abstract We evaluate the $$$$a_1(1260) \rightarrow \pi \sigma (f_0(500))$$$$ $a_{1} (1260) \to π σ (f_{0} (500))$ decay width from the perspective that the $$$$a_1(1260)$$$$ $a_{1} (1260)$ resonance is dynamically generated from the pseudoscalar–vector interaction and the $$$$\sigma $$$$ $σ$ arises from the pseudoscalar–pseudoscalar interaction. A triangle mechanism with $$$$a_1(1260) \rightarrow \rho \pi $$$$ $a_{1} (1260) \to ρ π$ followed by $$$$\rho \rightarrow \pi \pi $$$$ $ρ \to π π$ and a fusion of two pions within the loop to produce the $$$$\sigma $$$$ $σ$ provides the mechanism for this decay under these assumptions for the nature of the two resonances. We obtain widths of the order of 13–22 MeV. Present experimental results differ substantially from each other, suggesting that extra efforts should be devoted to the precise extraction of this important partial decay width, which should provide valuable information on the nature of the axial vector and scalar meson resonances and help clarify the role of the $$$$\pi \sigma $$$$ $π σ$ channel in recent lattice QCD calculations of the $$$$a_1$$$$ $a_{1}$ .

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Research Organization:: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

Sponsoring Organization:: Generalitat Valenciana; National Natural Science Foundation of China (NSFC); National Science Foundation (NSF); Spanish Ministerio de Economia y Competitividad adn European FEDER; Spanish National Grants; USDOE; USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177; SC0016582

OSTI ID:: 1923382

Report Number(s):: DOE/OR/23177--5284; JLAB-THY--21-3464; arXiv:2107.07439; 782; PII: 9574

Journal Information:: European Physical Journal. C, Particles and Fields, Journal Name: European Physical Journal. C, Particles and Fields Journal Issue: 9 Vol. 81; ISSN 1434-6044

Publisher:: Springer Science + Business MediaCopyright Statement

Country of Publication:: Germany

Language:: English

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