The properties of the σ and κ resonances in a new unitarization approach

Zheng, Hanqing; Zhou, Z.; Qin, GY; Xiao, Zhiguang

doi:10.1063/1.1799725

Cited by 4 publications

(2 citation statements)

References 2 publications

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“…[19][20][21], a novel subthreshold resonance named was found in the S wave through a prudent analysis of the covariant chiral amplitude of scattering [22][23][24][25] by applying the method of Peking University (PKU) representation [26][27][28][29][30][31]. The PKU representation respects causality and has previously been used to establish the existences of the and states [26,28]. The discovery of the resonance is nothing but an improved implement of analyticity compared with other unitarization methods.…”

Section: Introductionmentioning

confidence: 99%

Dispersive analysis of low energy γN→πN process and studies on the N(890) resonance

Niu

Yao

et al. 2021

Chinese Phys. C

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We present a dispersive representation of the partial-wave amplitude based on unitarity and analyticity. In this representation, the right-hand-cut contribution responsible for final-state-interaction effects is taken into account via an Omnés formalism with elastic phase shifts as inputs, while the left-hand-cut contribution is estimated by invoking chiral perturbation theory. Numerical fits are performed to pin down the involved subtraction constants. Good fit quality can be achieved with only one free parameter, and the experimental data regarding the multipole amplitude in the energy region below the are well described. Furthermore, we extend the partial-wave amplitude to the second Riemann sheet to extract the couplings of the . The modulus of the residue of the multipole amplitude (S ) is , and the partial width of at the pole is approximately , which is almost the same as that of the resonance, indicating that strongly couples to the system.

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Section: Introductionmentioning

confidence: 99%

Dispersive analysis of low energy γN→πN process and studies on the N(890) resonance

Niu

Yao

et al. 2021

Chinese Phys. C

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“…A subthreshold resonance: from πN scattering Recently, in Refs. [334,335,336], a novel subthreshold resonance named N * (890) was found in the S 11 wave of the πN interaction when applying the PKU representation [211,337,210,338,212,300] to analyze the covariant chiral amplitude of elastic πN scattering [95,96,100,101] at low energies.…”

Section: Light Baryon Resonancesmentioning

confidence: 99%

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

Yao,

Dai,

Zheng

et al. 2020

Preprint

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The description of strong interaction physics of low-lying resonances is out of the valid range of perturbative QCD. Chiral effective field theories have been developed to tackle the issue. Partial wave dynamics is the systematic tool to decode the underlying physics and reveal the properties of those resonances. It is extremely powerful and helpful for our understanding of the non-perturbative regime, especially when dispersion techniques are utilized simultaneously. Recently, plenty of exotic/ordinary hadrons have been reported by experiment collaborations, e.g. LHCb, Belle, and BESIII, etc.. In this review, we summarize the recent progress on the applications of partial wave dynamics combined with chiral effective field theories and dispersion relations, on related topics, with emphasis on ππ, πK, πN and KN scatterings.

show abstract

A review on partial-wave dynamics with chiral effective field theory and dispersion relation

et al. 2021

View full text Add to dashboard Cite

The description of strong interaction physics of low-lying resonances is out of the valid range of perturbative QCD. Chiral effective field theories (EFTs) have been developed to tackle the issue. Partial wave dynamics is the systematic tool to decode the underlying physics and reveal the properties of those resonances. It is extremely powerful and helpful for our understanding of the non-perturbative regime, especially when dispersion techniques are utilized simultaneously. Recently, plenty of exotic/ordinary hadrons have been reported by experiment collaborations, e.g. LHCb, Belle, and BESIII, etc. In this review, we summarize the recent progress on the applications of partial wave dynamics combined with chiral EFTs and dispersion relations, on related topics, with emphasis on ππ, πK, πN and KN scatterings.

show abstract

The properties of the σ and κ resonances in a new unitarization approach

Cited by 4 publications

References 2 publications

Dispersive analysis of low energy γN→πN process and studies on the N(890) resonance

Dispersive analysis of low energy γN→πN process and studies on the N(890) resonance

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

A review on partial-wave dynamics with chiral effective field theory and dispersion relation

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The properties of the σ and κ resonances in a new unitarization approach

Cited by 4 publications

References 2 publications

Dispersive analysis of low energy γN→πN process and studies on the N*(890) resonance *

Dispersive analysis of low energy γN→πN process and studies on the N*(890) resonance *

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

A review on partial-wave dynamics with chiral effective field theory and dispersion relation

Contact Info

Product

Resources

About

Dispersive analysis of low energy γN→πN process and studies on the N(890) resonance

Dispersive analysis of low energy γN→πN process and studies on the N(890) resonance