On pionic hydrogen. Quantum field theoretic, relativistic covariant and model-independent approach

Ivanov, A. N.; Faber, M.; Hirtl, A.; Márton, J.; Troitskaya, N. I.

doi:10.1140/epja/i2003-10095-1

Cited by 10 publications

(59 citation statements)

References 19 publications

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“…2 Energy level displacement and the wave function of kaonic deuterium in the ground state 2.1 Energy level displacement of the ground state of kaonic deuterium. General formula According to [4]- [6] the energy level displacement of the ground state of kaonic deuterium is defined by…”

Section: Introductionmentioning

confidence: 99%

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On kaonic deuterium. Quantum field-theoretic and relativistic covariant approach

et al. 2004

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We study kaonic deuterium, the bound K − d state A Kd . Within a quantum field theoretic and relativistic covariant approach we derive the energy level displacement of the ground state of kaonic deuterium in terms of the amplitude of K − d scattering for arbitrary relative momenta. Near threshold our formula reduces to the wellknown DGBT formula. The S-wave amplitude of K − d scattering near threshold is defined by the resonances Λ(1405), Σ(1750) and a smooth elastic background, and the inelastic channels K − d → N Y and K − d → N Y π, where Y = Σ ± , Σ 0 and Λ 0 , where the final-state interactions play an important role. The Ericson-Weise formula for the S-wave scattering length of K − d scattering is derived. The total width of the energy level of the ground state of kaonic deuterium is estimated using the theoretical predictions of the partial widths of the two-body decays A Kd → N Y and experimental data on the rates of the N Y -pair production in the reactions K − d → N Y . We obtain Γ 1s = (630 ± 100) eV. For the shift of the energy level of the ground state of kaonic deuterium we predict ǫ 1s = (353 ± 60) eV.

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Section: Introductionmentioning

confidence: 99%

“…In the low-energy limit k, q → 0 the relation (2.1) can be transcribed into the form [4]- [6] − ǫ 1s + i is universal and related to the smearing of the wave function of exotic atom in the ground state around the origin r = 0 [4].…”

Section: Introductionmentioning

confidence: 99%

On kaonic deuterium. Quantum field-theoretic and relativistic covariant approach

et al. 2004

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“…Following [26]- [29] (see also [30]) the S-wave amplitudes f π − d 0 (0) nnγ and f π − d 0 (0) nn can be defined by…”

Section: Width Of the Energy Level Of The Ground State Of Pionic Deutmentioning

confidence: 99%

From solar proton burning to pionic deuterium through the Nambu-Jona-Lasinio model of light nuclei

et al. 2004

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Within the Nambu-Jona-Lasinio model of light nuclei (the NNJL model), describing strong low-energy nuclear interactions, we compute the width of the energy level of the ground state of pionic deuterium. The theoretical value fits well the experimental data. Using the cross sections for the reactions ν e + d → p + p + e − and ν e +d → p+n+ν e , computed in the NNJL model, and the experimental values of the events of these reactions, detected by the SNO Collaboration, we compute the boron neutrino fluxes. The theoretical values agree well with the experimental data and the theoretical predictions within the Standard Solar Model by Bahcall. We argue the applicability of the constraints on the astrophysical factor for the solar proton burning, imposed by helioseismology, to the width of the energy level of the ground state of pionic deuterium. We show that the experimental data on the width satisfy these constraints. This testifies an indirect measurement of the recommended value of the astrophysical factor for the solar proton burning in terrestrial laboratories in terms of the width of the energy level of the ground state of pionic deuterium.

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“…However, corrections like electromagnetic corrections [2] and relativistic smearing of the wave function of the pionic hydrogen around the origin [3] have to be taken into account . Since ε 1s ∝ a + + a − and Γ 1s ∝ (a − ) 2 the isospin-separated scattering lengths (isoscalar a + and isovector scattering length a − ) can be determined with high precision.…”

Section: Introductionmentioning

confidence: 99%

Pionic Hydrogen — Precision Measurements at PSI

Márton¹

2006

AIP Conference Proceedings

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The experimental program of the Pionic Hydrogen Collaboration aims at the measurement of the strong interaction induced shift and width of the pionic hydrogen 1s ground state with unprecedented precision. A sophisticated crystal spectrometer system is used to measure the X-ray transitions to the ground state and thus the strong interaction shift and width with a precision of 2 10 −3 and ∼10 −2 respectively. The improvement in the precision of the width will amount to almost ∼ · an order of magnitude compared to the most precise former experiment. From strong interaction shift and width the isospin-dependent pion-nucleon scattering lengths will be determined. From the scattering lengths the pion-nucleon coupling constant and important information on chiral symmetry breaking can be deduced.

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On pionic hydrogen. Quantum field theoretic, relativistic covariant and model-independent approach

Cited by 10 publications

References 19 publications

On kaonic deuterium. Quantum field-theoretic and relativistic covariant approach

On kaonic deuterium. Quantum field-theoretic and relativistic covariant approach

From solar proton burning to pionic deuterium through the Nambu-Jona-Lasinio model of light nuclei

Pionic Hydrogen — Precision Measurements at PSI

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