Study of the ηπ+π− system centrally producedin the reactionpp→p f (ηπ+π−)p s at 300 GeV/c

By comparing SU (3)-breaking scales of linear mass formulae, it is shown that the lowest vector and scalar mesons all have aqq configuration, while the ground-state octet and decuplet baryons are qqq. Also, the quark-level linear σ model is employed to predict similarqq and qqq states. Furthermore, the approximate mass degeneracy of the scalar a0(985) and f0 (980) mesons is demonstrated to be accidental. Finally, it is shown that various strong, electromagnetic, and weak mesonic decay rates are successfully explained within the framework of the quark-level linear σ model.

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“…This predicted LσM width is not incompatible with the high-statistics decay rate [21] Γ a0ηπ = (95 ± 14) MeV.…”

Section: S Scalars and Accidental Degeneraciesmentioning

confidence: 74%

Publisher’s Note: Ground-state scalarq¯qnonet: SU(3) mass splittings and strong, electromagnetic, and weak decay rates [Phys. Rev. D69, 014010 (2004)]

Scadron¹,

Rupp²,

Kleefeld³

et al. 2004

Phys. Rev. D

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“…Data points for the event distribution are taken from Ref. [114], and the dotted line stands for the background [25]. The data for 20 !…”

Section: Slmentioning

confidence: 99%

Chiral dynamics in form factors, spectral-function sum rules, meson-meson scattering and semilocal duality

2012

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In this work, we perform the one-loop calculation of the scalar and pseudoscalar form factors in the framework of Uð3Þ chiral perturbation theory with explicit tree level exchanges of resonances. The mesonmeson scattering calculation from Guo and Oller [Phys. Rev. D 84, 034005 (2011)] is extended as well. The spectral functions of the nonet scalar-scalar (SS) and pseudoscalar-pseudoscalar (PP) correlators are constructed by using the corresponding form factors. After fitting the unknown parameters to the scattering data, we discuss the resonance content of the resulting scattering amplitudes. We also study spectral-function sum rules in the SS À SS, PP À PP, and SS À PP sectors as well as semilocal duality from scattering. The former relate the scalar and pseudoscalar spectra between themselves while the latter mainly connects the scalar spectrum with the vector one. Finally we investigate these items as a function of N C for N C > 3. All these results pose strong constraints on the scalar dynamics and spectroscopy that are discussed. They are successfully fulfilled by our meson-meson scattering amplitudes and spectral functions.

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“…Instead of analyzing the phase shifts provided in Ref [17], we directly fit the lattice energy levels by considering unitarized χPT in a finite box. In addition to the lattice finite-volume energy levels, we also include two kinds of experimental data in the global fits, namely, a πη event distribution [29] and the γγ → πη cross section [30], so as to better constrain the free parameters in the analyses. After the successful reproduction of the lattice energy levels and experimental data, we then calculate the πη phase shifts, inelasticities, pole positions, and their residues by taking both heavy unphysical and physical masses for π, K, η and η ′ .…”

Section: Introductionmentioning

confidence: 99%

Chiral study of the a0(980) resonance and πη scattering phase shifts in light of a recent lattice simulation

Guo¹,

Liu²,

Meißner³

et al. 2017

Phys. Rev. D

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We investigate the a 0 (980) resonance within chiral effective field theory through a threecoupled-channel analysis, namely πη, KK and πη ′ . A global fit to recent lattice finitevolume energy levels from πη scattering and relevant experimental data on a πη event distribution and the γγ → πη cross section is performed. Both the leading and next-toleading-order analyses lead to similar and successful descriptions of the finite-volume energy levels and the experimental data. However, these two different analyses yield different πη scattering phase shifts for the physical masses for the π, K, η and η ′ mesons. The inelasticities, the pole positions in the complex energy plane and their residues are calculated both for unphysical and physical meson masses.

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Study of the ηπ+π− system centrally producedin the reactionpp→p f (ηπ+π−)p s at 300 GeV/c

Cited by 42 publications

References 21 publications

Publisher’s Note: Ground-state scalarq¯qnonet: SU(3) mass splittings and strong, electromagnetic, and weak decay rates [Phys. Rev. D69, 014010 (2004)]

Publisher’s Note: Ground-state scalarq¯qnonet: SU(3) mass splittings and strong, electromagnetic, and weak decay rates [Phys. Rev. D69, 014010 (2004)]

Chiral dynamics in form factors, spectral-function sum rules, meson-meson scattering and semilocal duality

Chiral study of the a0(980) resonance and πη scattering phase shifts in light of a recent lattice simulation

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