The interactions of low energy K- mesons with protons

Csejthey-Barth, M.; Lagnaux, Jean-Pierre; Sacton, J.; O’Sullivan, D.; Shah, T.P.; Thompson, A. K.; Heeran, M.; Montwill, A.; Allen, P.; Burhop, E. H. S.; Davis, D. H.; Fletcher, E.R.; Allen, John E.; Bull, V.A.; March, P.V.; Yaseen, Maha Taha

doi:10.1016/0031-9163(65)90415-4

Cited by 25 publications

(20 citation statements)

References 8 publications

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“…For (A), the agreement with data is still good, which is the well known result of the chiral unitary model [1,3,8]. Originally the subtraction constants in the S = −1 channel are not very [16,17,18,19,20,21,22,23,24]. much dependent on the channels and take values around a i ∼ −2 as shown in Table I.…”

supporting

confidence: 67%

Flavor SU(3) breaking effects in the chiral unitary model for meson-baryon scatterings

Hyodo¹,

Nam

Jido³

et al. 2003

Phys. Rev. C

234

276

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We examine flavor SU(3) breaking effects on meson-baryon scattering amplitudes in the chiral unitary model. It turns out that the SU(3) breaking, which appears in the leading quark mass term in the chiral expansion, can not explain the channel dependence of the subtraction parameters of the model, which are crucial to reproduce the observed scattering amplitudes and resonance properties.PACS numbers: 12.39. Fe, 11.80.Gw, 14.20.Gk, 14.20.Jn, 11.30.Hv Keywords: chiral unitary approach, meson-baryon scatterings, flavor SU(3) breaking Properties of baryonic excited states are investigated with great interest both theoretically and experimentally. Recently, the chiral unitary model has been successfully applied to this problem, especially to the first excited states of negative parity (J P = 1/2 − ) such as Λ(1405) and N (1535) [1,2,3,4,5,6,7]. In this method, based on the leading order interactions of the chiral Lagrangian and the unitarization of the S-matrix, the baryon resonances are dynamically generated as quasi-bound states of ground state mesons and baryons. It reveals the importance of chiral dynamics not only in the threshold but also in the resonance energy region.In the chiral unitary model for the meson-baryon scattering, we consider the coupled channel scatterings of the octet mesons and baryons. Imposing the unitarity condition on the scattering amplitudes T ij in the N/D method, we obtain the scattering equation in the matrix form Refs. [3,8]:where V ij denotes the elementary tree level interaction derived from the chiral Lagrangian. This equation can be solved algebraically. The loop integral G i is the fundamental building block in the chiral unitary model and are regularized by the dimensional regularization;with Ln ±± ≡ ln(±s ± (M 2 i − m 2 i ) + 2 √ sq i )), the masses of baryon and meson M i and m i , the three-momentum of the mesonq i , the total energy in the center of mass system

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supporting

confidence: 67%

Flavor SU(3) breaking effects in the chiral unitary model for meson-baryon scatterings

Hyodo¹,

Nam

Jido³

et al. 2003

Phys. Rev. C

234

276

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“…The parameters of the chirally motivated approaches are standardly fixed in fits to the available low energy K − p experimental data that comprise the total cross sections [30,31,32,33,34,35], the threshold branching ratios γ, R c and R n [36,37] and the 1s level energy shift and absorption width due to the strong interaction in kaonic hydrogen [38]. In Ref.…”

Section: Resultsmentioning

confidence: 99%

Importance of chiral constraints for the pole content of the K¯N scattering amplitude

Bruns

Cieplý

2020

Nuclear Physics A

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“…The total cross sections of the K − p scattering into various mesonbaryon channels measured in bubble chamber experiments were shown, for instance, in Refs. [37,38,39,40,41,42,43,44,45]. These data can be used to constrain the global behavior of the meson-baryon amplitude above the K − p threshold, while some of the data points contradict with each other and the cross sections into the neutral final states (π 0 Σ 0 , π 0 Λ) are relatively poor.…”

Section: Low Energy K − P Scattering Datamentioning

confidence: 99%

The nature of the Λ(1405) resonance in chiral dynamics

Hyodo¹,

Jido²

2012

Progress in Particle and Nuclear Physics

361

330

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The Λ(1405) baryon resonance plays an outstanding role in various aspects in hadron and nuclear physics. It has been considered that the Λ(1405) resonance is generated by the attractive interaction of the antikaon and the nucleon as a quasi-bound state below its threshold decaying into the πΣ channel. Thus, the structure of Λ(1405) is closely related to theKN interaction which is the fundamental ingredient to study few-body systems with antikaon. In this paper, after reviewing the basic properties of the Λ(1405) resonance, we introduce the dynamical coupled-channel model which respects chiral symmetry of QCD and the unitarity of the scattering amplitude. We show that the structure of the Λ(1405) resonance is dominated by the meson-baryon molecular component and is described as a superposition of two independent states. The meson-baryon nature of Λ(1405) leads to various hadronic molecular states in few-body systems with strangeness which are hadron composite systems driven by the hadronic interactions. We summarize the recent progress in the investigation of the Λ(1405) structure and future perspective of the physics of the Λ(1405) resonance.

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The interactions of low energy K- mesons with protons

Cited by 25 publications

References 8 publications

Flavor SU(3) breaking effects in the chiral unitary model for meson-baryon scatterings

Flavor SU(3) breaking effects in the chiral unitary model for meson-baryon scatterings

Importance of chiral constraints for the pole content of the K¯N scattering amplitude

The nature of the Λ(1405) resonance in chiral dynamics

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