Origin of light<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mn>0</mml:mn><mml:mo>+</mml:mo></mml:msup></mml:math>scalar resonances

Zhou, Z.; Xiao, Zhiguang

doi:10.1103/physrevd.83.014010

Cited by 24 publications

(22 citation statements)

References 58 publications

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“…On the other hand, the nature of the light scalar resonances, such as f 0 (500),f 0 (980), K * 0 (800), etc., is still unclear and various descriptions are proposed by different groups: meson-meson molecular, tetraquark, standardqq with a strong pion cloud, etc. As a result of this, their N C behavior is also under debate [28,29,[31][32][33][34]. Though the N C trajectories of the scalar resonances reported by different groups diverge from each other, surprisingly there is one common feature from Refs.…”

Section: Relevant Rχt Lagrangian a Rχt Building Blocksmentioning

confidence: 99%

Resonance effects in pion and kaon decay constants

Guo

Sanz-Cillero

2014

Phys. Rev. D

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Section: Relevant Rχt Lagrangian a Rχt Building Blocksmentioning

confidence: 99%

Resonance effects in pion and kaon decay constants

Guo

Sanz-Cillero

2014

Phys. Rev. D

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“…The scalar-scalar (SS) and pseudoscalar-pseudoscalar (PP) correlation functions provide us another theoretical tool to further study the scalar resonances [36], once the phase shifts and inelasticities in meson-meson scattering are well reproduced [24][25][26][28][29][30][31][32][33][34]37]. As derived in Refs.…”

Section: Introductionmentioning

confidence: 97%

“…On the other hand, in the past decade scalar dynamics in the nonperturbative QCD region has been greatly put forward thanks to the combination of PT and nonperturbative approaches from the S-matrix theory [23][24][25][26][27][28][29][30][31][32][33][34]. One of the main results is the reappearance of the broad f 0 ð500Þ (traditionally called ), the lightest resonance in the QCD spectrum, after its long absence in the Particle Data Group (PDG) list [35].…”

Section: Introductionmentioning

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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“…It is important to remark that this is a generic problem for any model where the f 0 (500) contribution vanishes at large N c , not just for the IAM. For instance, as pointed out in [142], it could be an issue for the model described in [379] built within the unitarized quark model proposed in [17], where all scalars below 2 GeV 129 except the glueball could be described withqq seeds dressed by hadron loops, but the σ had no correspondence whatsoever with these seeds. Potentially this may lead to violations of semi-local duality at large N c .…”

Section: Semi-local Dualitymentioning

confidence: 99%

From controversy to precision on the sigma meson: A review on the status of the non-ordinary f0(500) resonance

2016

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The existence and properties of the sigma meson have been controversial for almost six decades, despite playing a central role in the spontaneous chiral symmetry of QCD or in the nucleonnucleon attraction. This controversy has also been fed by the strong indications that it is not an ordinary quark-antiquark meson. Here we review both the recent and old experimental data and the model independent dispersive formalisms which have provided precise determinations of its mass and width, finally settling the controversy and leading to its new name: f 0 (500). We then provide a rather conservative average of the most recent and advanced dispersive determinations of its pole position √ s σ = 449 +22−16 −i(275±12). In addition, after comprehensive introductions, we will review within the modern perspective of effective theories and dispersion theory, its relation to chiral symmetry, unitarization techniques, its quark mass dependence, popular models, as well as the recent strong evidence, obtained from the QCD 1/N c expansion or Regge theory, for its non ordinary nature in terms of quarks and gluons.

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Origin of light0+scalar resonances

Cited by 24 publications

References 58 publications

Resonance effects in pion and kaon decay constants

Resonance effects in pion and kaon decay constants

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

From controversy to precision on the sigma meson: A review on the status of the non-ordinary f0(500) resonance

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