Study of the elastic scaterring from the reaction K−p→K−π−pπ+ at 4.25 GeV/c incident K− momentum

Jongejans, B.; Meurs, R.A. van; Tenner, A.; Voorthuis, H.; Heinen, P.M.; Metzger, W. J.; Tiecke, H.; Walle, R. T. Van de

doi:10.1016/0550-3213(73)90203-4

Cited by 26 publications

(30 citation statements)

References 15 publications

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“…We proceed by fitting the predicted phase shifts to the S-and P-wave phase shift data of Estabrooks et al [8]. Note however that there may be a discrepancy between this data and earlier I = 3/2 Kπ results [9,10] near threshold; two S-wave data sets are shown in Fig. 1.…”

Section: Resultsmentioning

confidence: 92%

“…Ref. comments −0.071 (10) [9] experimental −0.076 (10) [12] experimental −0.084 (11) [13] experimental −0.086(24) [14] experimental −0.091 (9) [15] experimental −0.110 (16) [16] experimental −0.138 (7) [8] experimental −0.05 [17] 1-loop chiral pert. theory −0.05 [18] pointlike meson model −0.06 [19] crossing-symmetric Regge model −0.07 [11] PCAC −0.074 [20] coupled channel model −0.077 -this work (central value)…”

Section: Discussionmentioning

confidence: 99%

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I=3/2Kπ scattering in the nonrelativistic quark potential model

1992

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We study I = $ elastic KT scattering to Born order using nonrelativistic quark wave functions in a constituent-exchange model. This channel is ideal for the study of nonresonant meson-meson scattering amplitudes since s-channel resonances do not contribute significantly. Standard quark model parameters yield good agreement with the measured S-and P-wave phase shifts and with partial conservation of axial-vector current calculations of the scattering length. The P-wave phase shift is especially interesting because it is nonzero solely due to SU(3) -symmetry-breaking effects, and is found to be in good agreement with experiment given conventional values for the strange and nonstrange constituent quark masses. PACS number(s): 13.75.Lbl 12.40.Qq

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Section: Resultsmentioning

confidence: 92%

Section: Discussionmentioning

confidence: 99%

I=3/2Kπ scattering in the nonrelativistic quark potential model

1992

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“…Because the I = 3/2 component of the scattering amplitude was only measured directly by Estabrooks et al [38], we have decided to also include older data for δ 3/2 0 in our fits [41][42][43][44]. The last three experiments only presented data for the K − π − cross section and one still has to extract δ 3/2 0 from the given cross sections.…”

Section: Fitting the Elastic Channelmentioning

confidence: 99%

S-wave scattering in chiral perturbation theory with resonances

2000

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We present a detailed analysis of S-wave Kπ scattering up to 2 GeV, making use of the resonance chiral Lagrangian predictions together with a suitable unitarisation method. Our approach incorporates known theoretical constraints at low and high energies. The present experimental status, with partly conflicting data from different experiments, is discussed. Our analysis allows to resolve some experimental ambiguities, but better data are needed in order to determine the cross-section in the higher-energy range. Our best fits are used to determine the masses and widths of the relevant scalar resonances in this energy region.determine the resonance poles of the T matrix in the complex plane; this is worked out in section 7, where we compare results for the resonance masses and widths from different fits. Our conclusions are briefly summarised in section 8. To simplify the presentation, we refer to refs. [4][5][6][7][8][9] for details on the chiral formalism and notations, while some technical aspects and cumbersome formulae are relegated into appendices. Chiral expansion for the Kπ scattering amplitudesUp to one loop in the chiral expansion the Kπ scattering amplitudes have been calculated by Bernard, Kaiser and Meißner [29] and resonance contributions have been included by the same authors in [30]. We shall just review the main expressions for the Kπ amplitudes to make our work selfcontained.Since the pion and the kaon have isospin 1 and 1/2 respectively, there exist two independent Kπ amplitudes T 1/2 Kπ and T 3/2 Kπ (in the following, for simplicity, we shall drop the subscript "Kπ"). The charge-two process K + π + → K + π + is purely I = 3/2 whereas the process K + π − → K + π − contains both I = 1/2 and I = 3/2 components. Both amplitudes depend on the Mandelstam variables s, t and u and are related by s ↔ u crossing. From this relation one finds 1

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“…This technique does not allow to obtain the initial pion on-mass-shell and hence some extrapolation is needed. [46]. Latter experiments analyzed the reaction near the threshold using dispersive techniques.…”

Section: Scattering Lengthsmentioning

confidence: 99%