The κ resonance in s wave πK scatterings

Zheng, H. Q.; Zhou, Z.; Qin, GY; Xiao, Zhiguang; Jj, Wang; Wu, N.; 吴宁,

doi:10.1016/j.nuclphysa.2003.12.021

Cited by 80 publications

(84 citation statements)

References 27 publications

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“…Therefore, it is pleasurable to use the strategy of PKU representation proposed in Refs. [19,[21][22][23]] to tackle the spurious-pole problem.…”

Section: Prelude: a K -Matrix Fit And Spurious Polesmentioning

confidence: 99%

“…Peking University (PKU) representation [19][20][21][22][23] is a model-independent method based a e-mail: deliang.yao@ific.uv.es on axiomatic S-matrix arguments. It has been successfully applied to investigate ππ and π K scatterings and, in particular, corroborate the existences of σ and κ resonances [19,21]. The use of PKU representation to study π N scatterings may help us not only to enrich our knowledge of the amplitude structure but also to gain a fresh look at relevant physics in a much more rigorous manner.…”

Section: Introductionmentioning

confidence: 99%

“…The PKU representation factorizes the partial wave twobody elastic scattering S matrix in the form [21] S(s) = …”

Section: Introductionmentioning

confidence: 99%

“…[19], and the κ resonance (K * (800)) in Ref. [21]. The essence of PKU representation is not to directly unitarize the amplitude itself, rather, it unitarizes the l.h.c.s of the perturbative amplitude and hence hazardous spurious poles can be avoided.…”

Section: Introductionmentioning

confidence: 99%

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New insights on low energy $$\pi N$$ π N scattering amplitudes

2018

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The S-and P-wave phase shifts of low-energy pion-nucleon scatterings are analysed using Peking University representation, in which they are decomposed into various terms contributing either from poles or branch cuts. We estimate the left-hand cut contributions with the help of treelevel perturbative amplitudes derived in relativistic baryon chiral perturbation theory up to O( p 2 ). It is found that in S 11 and P 11 channels, contributions from known resonances and cuts are far from enough to saturate experimental phase shift data -strongly indicating contributions from low lying poles undiscovered before, and we fully explore possible physics behind. On the other side, no serious disagreements are observed in the other channels.

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“…Therefore, it is pleasurable to use the strategy of PKU representation proposed in Refs. [19,[21][22][23]] to tackle the spurious-pole problem.…”

Section: Prelude: a K -Matrix Fit And Spurious Polesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The PKU representation factorizes the partial wave twobody elastic scattering S matrix in the form [21] S(s) = …”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

New insights on low energy $$\pi N$$ π N scattering amplitudes

2018

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“…In the 90s, the S and P waves were described with unitarized Chiral Perturbation Theory, using the Inverse Amplitude Method first in the elastic regime [28,29] and then with coupled channels up to 1.2 GeV [30,31]. An alternative unitarization method for ChPT amplitudes described S-wave data up to 1.43 GeV [32]. In addition, data has also been described with: (i) the chiral unitary approach to next to leading order [33][34][35] for the S and P-waves, (ii) the N/D unitarization approach with coupled channels for the S-wave up to 1.4 GeV, (iii) unitarized chiral Lagrangians that include some resonances explicitly while others are generated dynamically for the S wave [36][37][38][39][40], (iv) conformal parameterizations [13] for the S-wave, (v) the explicit consideration of resonances with ad hoc pole parameterizations and very simple chiral symmetry requirements for the S-wave [41][42][43], or (vi) unitarized models with resonances [44] for the P-wave.…”

Section: K π Scatteringmentioning

confidence: 99%

Strange resonance poles from $$K\pi $$ K π scattering below 1.8 GeV

2017

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In this work we present a determination of the mass, width, and coupling of the resonances that appear in kaon-pion scattering below 1.8 GeV. These are: the much debated scalar κ-meson, nowadays known as K * 0 (800), the scalar K * 0 (1430), the K * (892) and K * 1 (1410) vectors, the spin-two K * 2 (1430) as well as the spin-three K * 3 (1780). The parameters will be determined from the pole associated to each resonance by means of an analytic continuation of the K π scattering amplitudes obtained in a recent and precise data analysis constrained with dispersion relations, which were not well satisfied in previous analyses. This analytic continuation will be performed by means of Padé approximants, thus avoiding a particular model for the pole parameterization. We also pay particular attention to the evaluation of uncertainties.

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Scalar and axial-vector mesons

Beveren

Rupp²

2007

The IVth International Conference on Quarks and Nuclear Physics

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Almost thirty years ago, Penny G. Estabrooks asked "Where and what are the scalar mesons?" [1]. The first part of her question can now be confidently responded [2]. However, with respect to the "What" many puzzles remain unanswered. Scalar and axial-vector mesons form part of a large family of mesons. Consequently, though it is useful to pay them some extra attention, there is no point in discussing them as isolated phenomena. The particularity of structures in the scattering of -basically -pions and kaons with zero angular momentum is the absence of the centrifugal barrier, which allows us to 'see' strong interactions at short distances. Experimentally observed differences and similarities between scalar and axial-vector mesons on the one hand, and other mesons on the other hand, are very instructive for further studies. Nowadays, there exists an abundance of theoretical approaches towards the mesonic spectrum, ranging from confinement models of all kinds, i.e., glueballs, and quark-antiquark, multiquark and hybrid configurations, to models in which only mesonic degrees of freedom are taken into account. Nature seems to come out somewhere in the middle, neither preferring pure bound states, nor effective meson-meson physics with only coupling constants and possibly form factors. As a matter of fact, apart from a few exceptions, like pions and kaons, Nature does not allow us to study mesonic bound states of any kind, which is equivalent to saying that such states do not really exist. Hence, instead of extrapolating from pions and kaons to the remainder of the meson family, it is more democratic to consider pions and kaons mesonic resonances that happen to come out below the lowest threshold for strong decay. Nevertheless, confinement is an important ingredient for understanding the many regularities observed in mesonic spectra. Therefore, excluding quark degrees of freedom is also not the most obvious way of describing mesons in general, and scalars and axial-vectors in particular.

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The κ resonance in s wave πK scatterings

Cited by 80 publications

References 27 publications

New insights on low energy $$\pi N$$ π N scattering amplitudes

New insights on low energy $$\pi N$$ π N scattering amplitudes

Strange resonance poles from $$K\pi $$ K π scattering below 1.8 GeV

Scalar and axial-vector mesons

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