The multichannel Blankenbecler-Sugar equation in low-energy kaon-nucleon scattering

Alcock, J.W.; Cottingham, W. N.; Davis, A.

doi:10.1088/0305-4616/4/3/008

Cited by 7 publications

(4 citation statements)

References 25 publications

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“…Unlike the single pion exchange, such a contribution is not vanishing at threshold since the two virtual pions need not carry a small momentum. An analogous mechanism has been considered long ago for KN scattering [32,33], this time with the box graph KN → K * N → KN . Technically a box graph is difficult to work with, since one must somehow renormalize its intrinsic UV divergence, and then renormalize its contribution in the BSE ladder.…”

Section: μ [Gev]mentioning

confidence: 90%

SU(6) extension of the Weinberg-Tomozawa meson-baryon Lagrangian

2006

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A consistent SU(6) extension of the Weinberg-Tomozawa meson-baryon chiral Lagrangian is constructed which incorporates vector meson and baryon decuplet degrees of freedom. The corresponding Bethe-Salpeter approximation predicts the existence of an isoscalar spin-parity 3 2 − K * N bound state (strangeness +1) with a mass around 1.7-1.8 GeV. It is the highest hypercharge state of an antidecuplet SU(3) representation and it is unstable through K * decay. The estimated width of this state (neglecting d-wave KN decay) turns out to be small (Γ ≤ 15 MeV). Clear signals of this resonance would be found in reactions like γp →K 0 pK + π − by looking at the three body pK + π − invariant mass.

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Section: μ [Gev]mentioning

confidence: 90%

SU(6) extension of the Weinberg-Tomozawa meson-baryon Lagrangian

2006

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“…Thus, the inelasticity (expressed in terms of R) has a form similar to that used in the present work but only a single threshold (q 0 ) was used for all partial waves. In his fit Martin used G and H waves which were estimated by means of a dispersion relation calculation [54]. He did not give these values and they are no longer available so we were forced to set them to zero.…”

Section: Analysis Of Martinmentioning

confidence: 99%

“…Stenger et al [76] found a value of +0.04 fm (a value which was commonly used in dispersion relation work [17]). There were also suggestions that it might be positive and large [54]. Presumably based on this previous work, Martin [19] set the scattering length to zero with an error of 0.04 fm as the subtraction point for his dispersion relation constraint.…”

Section: B Scattering Lengthmentioning

confidence: 99%

Partial-wave analysis ofK+-nucleon scattering

Gibbs

Arceo

2007

Phys. Rev. C

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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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“…7 Single-energy fits to these data were made using a parametrization with each invariant amplitude represented as a sum of a fixed "Born term" and a fitted polynomial term constructed according to the ACE prescription. 8 The Born term contains contributions from Pomeron and peripheral di-pion exchange, 9 and also from Reggeized p, /, N, and A exchange. The parametrization 10 is analytic in the cut cos8 plane, with asymptotic power behavior (cos9) a{s) for large |cos#|, and has no sharp cutoff in angular momentum.…”

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confidence: 99%

I=32 πNResonances in the 1900-MeV Region

1976

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We report results of a TTN partial-wave analysis for I =| resonances observed in the 1900-MeV region: ^3 5 (1885), F 37 (1945), P 31 (1940), and D 35 (1925). The D 35 (1925) is difficult to accommodate in conventional baryon models; we discuss an alternative model having such a state.The SU(6)xO(3) harmonic-oscillator model proposed by Greenberg, 1 its relativistic 2 and diquark 3 variations, and recent "dual string" 4 and "bag" 5 models have had notable success in reproducing the observed baryon mass spectrum. Primary information to test such models comes from partial-wave analyses. We report here initial results of a TTN partial-wave analysis between 1550 and 2150 MeV. We concentrate on resonances observed in the F 359 F 37 , P 31 , and D 35 partial waves around 1900 MeV. The even-parity states at this mass are placed by harmonic-oscillator quark models in a (5£, 2 + ) SU(6)xO(3) supermultiplet. 6 However, the odd-parity D 35 (1925) is not readily accommodated by such models. We have performed additional tests which support the existence of the i)3 5 (1925), and present a model which provides a D 35 resonance at this energy.World up elastic and charge-exchange scattering data were amalgamated at 26 momenta in the range 0.8 ^/> lab < 2.0 GeV/c. The amalgamated data were partial-wave analyzed by a combination of the accelerated convergence expansion (ACE) technique for an energy-independent fitting and a hyperbolic dispersion technique for the resolution of ambiguities and the imposition of s-channel analyticity constraints. The amalgamation took into account normalization errors, momentum calibration errors, discrepancies between experiments, correlated interpolation errors, and other systematic effects. 7 Single-energy fits to these data were made using a parametrization with each invariant amplitude represented as a sum of a fixed "Born term" and a fitted polynomial term constructed according to the ACE prescription. 8 The Born term contains contributions from Pomeron and peripheral di-pion exchange, 9 and also from Reggeized p, /, N, and A exchange. The parametrization 10 is analytic in the cut cos8 plane, with asymptotic power behavior (cos9) a{s) for large |cos#|, and has no sharp cutoff in angular momentum. At each momentum, depending on the completeness of data, there were three to fifteen clusters of statistically indistinguishable local x 2 minima. The covariance matrix estimated for each cluster includes the spread within the cluster.To resolve ambiguities the reconstructed invariant amplitudes along four hyperbolic curves in the physical region of the s-t plane (supplemented by results of Carter et al. 11 and Ayed and Bareyre 12 outside our energy range) were fitted with a parametrization based on hyperbolic dispersion relations (HDR). 13 The HDR fit selected a unique cluster at each energy. To check and further stabilize these results, the input amplitudes at each energy in turn were deleted and HDR predictions were generated. These predictions, with enlarged errors, were then combined with the scat...

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The multichannel Blankenbecler-Sugar equation in low-energy kaon-nucleon scattering

Cited by 7 publications

References 25 publications

SU(6) extension of the Weinberg-Tomozawa meson-baryon Lagrangian

SU(6) extension of the Weinberg-Tomozawa meson-baryon Lagrangian

Partial-wave analysis ofK+-nucleon scattering

I=32 πNResonances in the 1900-MeV Region

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