A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation

Yao, De-Liang; Dai, Ling-Yun; Zheng, Han-Qing; Zhou, Zhi-Yong

doi:10.48550/arxiv.2009.13495

Cited by 9 publications

(10 citation statements)

References 327 publications

(552 reference statements)

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“…This can be achieved by applying the on-shell-approximation version of Bethe-Salpeter equation [46] to the partial wave amplitudes derived in the above subsection; see Ref. [47] for a recent review on various unitarization approaches. In this manner, the unitarized amplitude is given by…”

Section: B Partial Wave Projectionmentioning

confidence: 99%

Hunting for states in the recent LHCb di-$J/ψ$ invariant mass spectrum

Liang,

Wu,

Yao

2021

Preprint

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Partial wave analysis is performed, with effective potentials as dynamical inputs, to scrutinize the recent LHCb data on the di-J/ψ invariant mass spectrum. Coupled-channel effects are incorporated in the production amplitude via final state interactions. The LHCb data can be well described. A dynamical generated pole structure, which can be identified as the X(6900) state, is found. Our analysis also provides hints for the existence of three other possible states: a bound state X(6200), a broad resonant state X(6680) and a narrow resonant state X(7200). The J P C quantum numbers of the X(6680) and X(6900) states should be 2 ++ , while the X(6200) and X(7200) states prefer 0 ++ . To determine the above states more precisely, more experimental data for the channels, such as J/ψψ(2S), J/ψψ(3770), di-ψ(2S), are required.

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Section: B Partial Wave Projectionmentioning

confidence: 99%

Hunting for states in the recent LHCb di-$J/ψ$ invariant mass spectrum

Liang,

Wu,

Yao

2021

Preprint

Self Cite

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“…More discussions about the partial wave analysis and the final state interactions can be found in the recent review of Ref. [48]. Next, we can determine the V p using the experimental branching ratio of the B0 → D 0 f 0 (500) decay.…”

Section: Resultsmentioning

confidence: 99%

Study of $\bar{B}^0_{(s)}$ decaying into $D^0$ and $π^{+}π^{-}$, $K^{+}K^{-}$, or $π^{0}η$ with final state interactions

Ahmed¹,

Xiao²

2021

Preprint

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We investigate the resonant contributions in the decays B0(s) → D 0 π + π − , B0 (s) → D 0 K + K − , and B0 → D 0 π 0 η by considering the final state interactions within the chiral unitary approach. The scalar resonances produced dynamically from the final state interactions of these decays are the ones of f 0 (500), f 0 (980), and a 0 (980). In addition, the vector mesons ρ and φ produced in the p-wave are also taken into account. From the invariant mass distributions of B 0 decays, one can see that the contributions of the states f 0 (500) and a 0 (980) are remarkably larger than the one of f 0 (980). However, for the case of B 0 s decays only a clear structure closed to the K + K − threshold appears, which corresponds to the f 0 (980) state and has no signal for the f 0 (500) resonance. The dominant contributions are from the vector meson φ for the decay B0 s → D 0 K + K − , where the results of the K + K − invariant mass distributions are in agreement with the experimental data up to 1.1 GeV. Moreover, the branching fractions and the ratios of branching fractions are also investigated, where some of them are consistent with the experimental measurements, and the branching fraction Br( B0 → D 0 a 0 (980)[a 0 (980) → π 0 η]) = (6.08 ± 0.72) × 10 −5 and the ratio of branching fractions Br( B0 → D 0 f 0 (980))/Br( B0 → D 0 a 0 (980)) = 0.13 ± 0.03 are predicted.

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“…For more comprehensive and detailed accounts of unitarization of chiral interactions we refer the reader to the reviews in [36,164,165].…”

Section: Unitarization: Naive Approachmentioning

confidence: 99%

Precision dispersive approaches versus unitarized chiral perturbation theory for the lightest scalar resonances $$\sigma /f_0(500) $$ and $$\kappa /K_0^*(700) $$

Peláez

Rodas

Elvira

2021

Eur. Phys. J. Spec. Top.

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For several decades, the σ/f0(500) and κ/K * 0 (700) resonances have been subject to long-standing debate. Both their existence and properties were controversial until very recently. In this tutorial review we compare model-independent dispersive and analytic techniques versus unitarized Chiral Perturbation Theory, when applied to the lightest scalar mesons σ/f0(500) and κ/K * 0 (700). Generically, the former have settled the long-standing controversy about the existence of these states, providing a precise determination of their parameters, whereas unitarization of chiral effective theories allows us to understand their nature, spectroscopic classification and dependence on QCD parameters. Here we review in a pedagogical way their uses, advantages and caveats.

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A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation

Cited by 9 publications

References 327 publications

Hunting for states in the recent LHCb di-$J/ψ$ invariant mass spectrum

Hunting for states in the recent LHCb di-$J/ψ$ invariant mass spectrum

Study of $\bar{B}^0_{(s)}$ decaying into $D^0$ and $π^{+}π^{-}$, $K^{+}K^{-}$, or $π^{0}η$ with final state interactions

Precision dispersive approaches versus unitarized chiral perturbation theory for the lightest scalar resonances $$\sigma /f_0(500) $$ and $$\kappa /K_0^*(700) $$

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