Low-Energy Interactions of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>Mesons in Hydrogen

Humphrey, William E.; Ross, R. R.

doi:10.1103/physrev.127.1305

Cited by 227 publications

(117 citation statements)

References 17 publications

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“…The result is shown in fig.5 in comparison to experimental data from refs. [50,51]. It can be seen that the best result corresponds to solution 1.…”

Section: Fig 2 General Mechanisms For the λ(1405) Photoproduction Imentioning

confidence: 93%

Λ(1405)poles obtained fromπ0Σ0photoproduction data

2013

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We present a strategy to extract the position of the two Λ(1405) poles from experimental photoproduction data measured recently at different energies in the γp → K + π 0 Σ 0 reaction at Jefferson Lab. By means of a chiral dynamics motivated potential but with free parameters, we solve the Bethe Salpeter equation in the coupled channelsKN and πΣ in isospin I=0 and parameterize the amplitude for the photonuclear reaction in terms of a linear combination of the πΣ → πΣ and KN → πΣ scattering amplitudes in I=0, with a different linear combination for each energy. Good fits to the data are obtained with some sets of parameters, by means of which one can also predict the cross section for the K − p → π 0 Σ 0 reaction. These later results help us decide among the possible solutions. The result is that the different solutions lead to two poles similar to those found in the chiral unitary approach. With the best result we find the two Λ(1405) poles at 1385 − 68i MeV and 1419 − 22i MeV.

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“…The result is shown in fig.5 in comparison to experimental data from refs. [50,51]. It can be seen that the best result corresponds to solution 1.…”

Section: Fig 2 General Mechanisms For the λ(1405) Photoproduction Imentioning

confidence: 93%

Λ(1405)poles obtained fromπ0Σ0photoproduction data

2013

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“…Since this expression is divergent for forward scattering, a cutoff for the scattering angle must be introduced. In the analysis of the scattering data [23,24], forward angles were suppressed by accepting only events with θ cm larger than a minimum angle θ min . In practice the value employed in ref.…”

Section: Coulomb Interactionmentioning

confidence: 99%

Chiral dynamics of kaon-nucleon interactions, revisited

Borasoy¹,

Nißler²,

Weise³

2005

Eur. Phys. J. A

231

362

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TheKN system close to threshold is analyzed in view of the new accurate DEAR kaonic hydrogen data. The calculations are performed using chiral SU(3) effective field theory in combination with non-perturbative schemes based on coupled channels. Several variants of such approaches are compared with experimental data and the differences in the results are discussed. Coulomb and isospin breaking effects turn out to be important and are both taken into account. The pole structure of the Λ(1405) resonance close to theKN threshold is critically examined.

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“…For the momenta 100 MeV/c ≤ p lab ≤ 175 MeV/c the experimental values of the fit parameters, obtained in Ref. [31], are R = (0.81 ± 0.06) fm and α = (78 ± 31)…”

Section: Energy Level Displacement Of the Ground State Of Kaonic Deutmentioning

confidence: 99%

“…[31]. For the momenta 100 MeV/c ≤ p lab ≤ 175 MeV/c the experimental values of the fit parameters, obtained in Ref.…”

Section: Energy Level Displacement Of the Ground State Of Kaonic Deutmentioning

confidence: 99%

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On kaonic hydrogen. Phenomenological quantum field theoretic model revisited

et al. 2005

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We argue that due to isospin and U -spin invariance of strong low-energy interactions the S-wave scattering lengths a 0 0 and a 1 0 ofKN scattering with isospin I = 0 and I = 1 satisfy the low-energy theorem a 0 0 + 3a 1 0 = 0 valid to leading order in chiral expansion. In the model of strong low-energyKN interactions at threshold (EPJA 21,11 (2004)) we revisit the contribution of the Σ(1750) resonance, which does not saturate the low-energy theorem a 0 0 + 3a 1 0 = 0, and replace it by the baryon background with properties of an SU (3) octet. We calculate the S-wave scattering amplitudes of K − N and K − d scattering at threshold. We calculate the energy level displacements of the ground states of kaonic hydrogen and deuterium. The result obtained for kaonic hydrogen agrees well with recent experimental data by the DEAR Collaboration. We analyse the cross sections for elastic and inelastic K − p scattering for laboratory momenta 70 MeV/c < p K < 150 MeV/c of the incident K − meson. The theoretical results agree with the available experimental data within two standard deviations.

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Low-Energy Interactions ofK−Mesons in Hydrogen

Cited by 227 publications

References 17 publications

Λ(1405)poles obtained fromπ0Σ0photoproduction data

Λ(1405)poles obtained fromπ0Σ0photoproduction data

Chiral dynamics of kaon-nucleon interactions, revisited

On kaonic hydrogen. Phenomenological quantum field theoretic model revisited

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