$$\omega \rightarrow 3\pi $$ and $$\omega \pi ^{0}$$ transition form factor revisited

Albaladejo, M.; Danilkin, I.; Gonzàlez-Solís, S.; Winney, D.; Fernández-Ramírez, C.; Blin, A. N. Hiller; Mathieu, V.; Mikhasenko, M.; Pilloni, A.; Szczepaniak, A.

doi:10.1140/epjc/s10052-020-08576-6

Title: $$$$\omega \rightarrow 3\pi $$$$ and $$$$\omega \pi ^{0}$$$$ transition form factor revisited

Journal Article · Wed Dec 02 00:00:00 EST 2020 · European Physical Journal. C, Particles and Fields

DOI:https://doi.org/10.1140/epjc/s10052-020-08576-6· OSTI ID:1769469

; Danilkin, I.; Gonzàlez-Solís, S.; Winney, D.; Fernández-Ramírez, C.; Blin, A. N. Hiller; Mathieu, V.; Mikhasenko, M.; Pilloni, A.; Szczepaniak, A.

Abstract In light of recent experimental results, we revisit the dispersive analysis of the $$$$\omega \rightarrow 3\pi $$$$ $ω \to 3 π$ decay amplitude and of the $$$$\omega \pi ^0$$$$ $ω π^{0}$ transition form factor. Within the framework of the Khuri–Treiman equations, we show that the $$$$\omega \rightarrow 3\pi $$$$ $ω \to 3 π$ Dalitz-plot parameters obtained with a once-subtracted amplitude are in agreement with the latest experimental determination by BESIII. Furthermore, we show that at low energies the $$$$\omega \pi ^0$$$$ $ω π^{0}$ transition form factor obtained from our determination of the $$$$\omega \rightarrow 3\pi $$$$ $ω \to 3 π$ amplitude is consistent with the data from MAMI and NA60 experiments.

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

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF); German Research Foundation (DFG); Univ. Nacional Autonoma de Mexico (UNAM); CONACyT

Grant/Contract Number:: AC05-06OR23177; FG02-87ER40365; PHY-1415459; PHY-2013184; 204404729-SFB-1044; 39083149; IA101819; A1-S-21389

OSTI ID:: 1769469

Alternate ID(s):: OSTI ID: 1755334

Report Number(s):: JLAB-THY-20-3200; DOE/OR/23177-4978; arXiv:2006.01058; 1107; PII: 8576

Journal Information:: European Physical Journal. C, Particles and Fields, Journal Name: European Physical Journal. C, Particles and Fields Vol. 80 Journal Issue: 12; ISSN 1434-6044

Publisher:: Springer Science + Business MediaCopyright Statement

Country of Publication:: Germany

Language:: English

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