Kaon-Nucleon Total Cross Sections from 0.36 to 0.72 GeV/<i>c</i>

We have performed a partial-wave analysis of K + -nucleon scattering in the momentum range from 0 to 1.5 GeV/c addressing the uncertainties of the results and comparing them with several previous analyses. It is found that the treatment of the reaction threshold behavior is particularly important. We find a T=0 scattering length which is not consistent with zero, as has been claimed by other analyses. The T=0 phase shifts for ℓ > 0 are consistent with a pure spin-orbit potential. Some indications for the production of a T=0 pentaquark with spin-parity D5/2+ are discussed.

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“…These were: two points from Ref. [38] at 0.686 and 0.717 GeV/c, and two from Ref. [34] at 0.713 and 1.029 GeV/c.…”

Section: Fitting Proceduresmentioning

confidence: 99%

“…Much of these data are available from compilations [30,31,32] but we try to give references to the original data as much as possible [33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53].…”

Section: Fitting Proceduresmentioning

confidence: 99%

Partial-wave analysis ofK+-nucleon scattering

Gibbs

Arceo

2007

Phys. Rev. C

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“…7 for KN (I=0,1) elastic cross sections. Experimental data is taken from [16] (full circles), [17] (empty circles), [14] (empty squares). Fig.…”

Section: Appendix A: Potential Matrix Elements For Baryon Exchangementioning

confidence: 99%

Role of correlated two-pion exchange in K+N scattering

Hoffmann¹,

Durso²,

Holinde³

et al. 1995

Nuclear Physics A

106

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A dynamical model for S-and P-wave correlated 2π (and KK) exchange between a kaon and a nucleon is presented, starting from corresponding NN → KK amplitudes in the pseudophysical region, which have been constructed from nucleon, ∆-isobar and hyperon (Λ, Σ) exchange Born terms and a realistic meson exchange model of the ππ → KK and KK → KK amplitude. The contribution in the s-channel is then obtained by performing a dispersion relation over the unitarity cut. In the ρ-channel, considerable ambiguities exist, depending on how the dispersion integral is performed. Our model, supplemented by short range interaction terms, is able to describe empirical K + N data below pion production threshold in a satisfactory way.

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“…It is also clear that the Z + as predicted by [6] and as supposedly seen in the experiments [1][2][3][4][5] lies well within the energy range covered by KN data. Indeed there are even data points from two independent experiments [17,19].…”

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confidence: 99%

“…2 together with the results of the original Jülich model I and the available experimental information [17][18][19][20]. The I = 1 channel is shown here only to demonstrate the quality of the Jülich model.…”

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confidence: 99%

Influence of aZ+(1540)resonance onK+Nscattering

Haidenbauer

Krein

2003

Phys. Rev. C

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The impact of a (I = 0, J P = 1 2 + ) Z + (1540) resonance with a width of 5MeV or more on the K + N (I=0) elastic cross section and on the P 01 phase shift is examined within the KN meson-exchange model of the Jülich group. It is shown that the rather strong enhancement of the cross section caused by the presence of a Z + with the above properties is not compatible with the existing empirical information on KN scattering. Only a much narrower Z + state could be reconciled with the existing data -or, alternatively, the Z + state must lie at an energy much closer to the KN threshold.PACS NUMBERS: 13.75. Jz, 12.39.Pn, 14.20.Jn,12.40.-y KEYWORDS: Pentaquark, Strangeness, Meson-exchange Models 1 Recently the LEPS collaboration at Spring-8 presented evidence for the existence of a narrow baryon resonance with strangeness S = +1 [1]. In the following four other collaborations from different laboratories announced the observation of a similar structure in their experiments [2][3][4][5]. The observed structure was immediately brought into connection with an exotic pentaquark state called Z + whose existence had been proposed since long time in the context of different quark models 1 . Specifically, the resonance parameters with a peak position around 1540 MeV and a width around 20 MeV, extracted from these experiments, lie convincingly close to a theoretical prediction based on the chiral quark-soliton model of Diakonov et al. [6], who had proposed the existence of a Z + state with a mass around 1530 MeV and a width of around 15 MeV. Due to its quantum numbers, S = +1, I = 0, and J P = In the present note we use the Jülich meson-exchange model for the KN interaction to investigate the effect of including in the model a Z + -like resonance structure on the description of the experimental data. Within a realistic potential model the open parameters are fixed by a simultaneous fit to all KN partial waves and therefore the contributions to the P 01 channel (we use the standard spectral notation L I 2J ), which provide the background for the Z + (1540) resonance, are strongly constrained by the empirical information in the other partial waves and that means also from the other isospin channel. Furthermore, the use of a model allows one to produce a resonance structure from a bare pole interaction by dressing the bare baryon-meson vertex, with a width generated from self-energy loops, i.e. the non-pole and the pole part of the reaction amplitude can be treated consistently.A detailed description of the Jülich KN model can be found in Refs. [10,11]. The model was constructed along the lines of the (full) Bonn NN model [12] and its extension to the hyperon-nucleon (Y N) system [13]. Specifically, this means that one has used the same scheme (time-ordered perturbation theory), the same type of processes, and vertex parameters (coupling constants, cut-off masses of the vertex form-factors) fixed already by the study of these other reactions.1 We follow the historical nomenclature adopted in the particle data tables. More ...

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Kaon-Nucleon Total Cross Sections from 0.36 to 0.72 GeV/c

Cited by 48 publications

References 11 publications

Partial-wave analysis ofK+-nucleon scattering

Partial-wave analysis ofK+-nucleon scattering

Role of correlated two-pion exchange in K+N scattering

Influence of aZ+(1540)resonance onK+Nscattering

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