Pionic hydrogen and deuterium

Gotta, D.; Amaro, F. D.; Anagnostopoulos, D. F.; Bühler, P.; Gorke, H.; Covita, D. S.; Fuhrmann, H.; Gruber, A.; Hennebach, M.; Hirtl, A.; Ishiwatari, T.; Indelicato, P.; Bigot, E.-O. Le; Márton, J.; Nekipelov, M.; Santos, J.M.F. dos; Schlesser, S.; Schmid, Ph.; Simons, L. M.; Strauch, Th.; Trassinelli, Martino; Veloso, J.F.C.A.; Zmeskal, J.

doi:10.1007/s10751-011-0524-0

Cited by 7 publications

(5 citation statements)

References 36 publications

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“…The first-order result is given only in the cases where the precision is sufficient to evidence the difference with the nonperturbative result. Table V summarizes results for the pionic molecules ppπ and ddπ, where resonant states play a role in the deexcitation cascade of pionic atoms [8]. In the case of ppπ, our results are in good agreement with those of Ref.…”

Section: B Resultssupporting

confidence: 85%

“…Results for the bound states of pionic molecules are given in Table III. We have limited our study to ddπ and ppπ, which could play a role in the interpretation of pionic hydrogen and deuterium spectroscopy experiments [8]. It should be noted that accuracy is much less essential than for muonic systems, because (i) experimental resolution is limited to about 10 µeV by the pion lifetime τ = 26 ns, and (ii) theoretical accuracy is limited to a fraction of meV by the 2.5 ppm relative uncertainty on the pion mass.…”

Section: B Resultsmentioning

confidence: 99%

“…The existence of µp atoms in the metastable 2S state, a prerequisite for the measurement of the 2S-2P Lamb shift [6] was observed through a quenching mechanism by collisions with H 2 which involves resonant states of ppµ below the n = 2 threshold [7]. In experiments on pionic hydrogen or deuterium [8], atoms are produced from highly excited states through an atomic cascade in which resonances of ppπ or ddπ may be populated [9]; the properties of these resonances are useful input parameters for an accurate modeling of the atomic cascade, which is indispensable to understand the observed line shape and extract the strong interaction broadening.…”

Section: Introductionmentioning

confidence: 99%

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Analytical matrix elements of the Uehling potential in three-body systems and applications to exotic molecules

Karr

Hilico

2013

Phys. Rev. A

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Exact analytical expressions for the matrix elements of the Uehling potential in a basis of explicitly correlated exponential wave functions are presented. The obtained formulas are then used to compute with an improved accuracy the vacuum polarization correction to the binding energy of muonic and pionic molecules, both in a first-order perturbative treatment and in a nonperturbative approach. The first resonant states lying below the n = 2 threshold are also studied, by means of the stabilization method with a real dilatation parameter.

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Section: B Resultssupporting

confidence: 85%

Section: B Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analytical matrix elements of the Uehling potential in three-body systems and applications to exotic molecules

Karr

Hilico

2013

Phys. Rev. A

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“…Directly at the nπ + threshold (ω thr = 151.44 MeV) one obtains a value of β(ω thr ) = (3.35 ± 0.08) · 10 −3 /m π + using results for the chargeexchange scattering length from an analysis of pionic H and D data [15,16] and the latest experimental result for ReE 0+ (nπ + ) [17]. A direct measurement of ImE 0+ ∼ β would allow an independent determination of f cex (nπ + ) and a test of calculations including electromagnetic and strong isospin breaking.…”

Section: γP → π 0 Pmentioning

confidence: 99%

Exciting Baryons with MAMI

Ostrick

2016

Proceedings of the 10th International Workshop on the Physics of Excited Nucleons (NSTAR2015)

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Meson photoproduction is an important tool in baryon spectroscopy. In modern experiments all spin degrees of freedom can be exploited in order to determine partial wave amplitudes and resonance parameters. With the Crystal Ball/TAPS detector setup at the energy-tagged photon facility at the Mainz Microtron MAMI photoproduction can be studied up to the center-of-mass energy W = 1.9 GeV. Selected results for differential cross sections and transverse target asymmetries in π 0 , η and η production are presented.

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“…A most fundamental measurement in this field is the spectroscopy of pionic hydrogen which is together with pionic deuterium used to determine the pion nucleon strong interaction scattering lengths at the lowest possible energy [88,89]. This effort was a culmination of also beautiful technological developments to provide the necessary number of pion stops in low density hydrogen targets and do precision crystal spectrometer measurements of low energy x-ray transitions in these systems as well as in muonic hydrogen [90] to tackle and understand related systematic issues.…”

Section: Experiments With Pionsmentioning

confidence: 99%

The Virtue of Precision Particle Physics

Kirch

2015

Proceedings of the 2nd International Symposium on Science at J-Parc — Unlocking the Mysteries of Life, Matter and the Universe

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Precision studies and tests of fundamental interactions and symmetries are a focus point of modern particle physics. With the success of the present Standard Model (SM) of particle physics and simultaneously with the need for new physics to fix known deficiencies a broad search program is under way to probe at all energy scales for the unknown. Precision measurements of quantities which can be accurately predicted in the SM and also especially those which are predicted to be null or negligibly small turn out to provide some of the most stringent constraints for many new physics scenarios. Besides some detours, this paper concentrates on precision physics using neutrons, pions and muons, the lightest unstable particles of their kind, produced at the most powerful proton accelerators.KEYWORDS: precision particle physics, symmetry, lepton flavor, charge parity, dipole moment, weak interaction, rare decay, exotic atom, spectroscopy Setting the sceneComplementarity is a buzz word in today's research. Here it is used to describe the relation between the direct production of new particles and observations of virtual contributions from such particles. Direct production of new heavy particles and resonances and their detection through their decays is the realm of high energy collider particle physics. The recent discovery of a Higgs boson [1,2] displaying so far all features expected for the Standard Model (SM) Higgs is the latest discovery and triumph of this successful line of research. Indeed, the careful investigation of this Higg's particle properties (see, e.g. [3]) and the continued search for possible new particles with larger masses is the ongoing high priority program at CERN's LHC which will resume operation at higher energy soon.The broader look at 'fundamental physics in the era of LHC' has identified many complementary efforts and established the case and the need for a program at the high intensity, low energy, precision physics frontier, e.g. [4][5][6]. The observation of indirect, short distance effects of virtual particles becomes possible in the comparison of precision measurements and precision theoretical predictions. As it turns out, many of these experiments at low energy probe physics at considerably higher energy scale than direct collider searches, often multi-TeV or even 1000 TeV.Some finite observables allow, both, very precise and accurate experimental determinations and very precise and accurate, often multi-loop, calculations within the SM or some of its extensions. Prime examples for these observables are the anomalous magnetic moments a e/µ = (g − 2)/2 of the electron [7] and the muon [8,9]. For instance, the best determination today of the fine structure constant α relies on the a e measurement and a high precision QED calculation [10]. Likewise, the electron mass [11] is obtained by comparing a high precision quantum jump spectroscopy measurement in a Penning trap with a high precision calculation of the bound electron g-factor. More examples can be easily found, as the extraction of fu...

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Pionic hydrogen and deuterium

Abstract: International audienc

Cited by 7 publications

References 36 publications

Analytical matrix elements of the Uehling potential in three-body systems and applications to exotic molecules

Analytical matrix elements of the Uehling potential in three-body systems and applications to exotic molecules

Exciting Baryons with MAMI

The Virtue of Precision Particle Physics

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