Balmer α transitions in antiprotonic hydrogen and deuterium

Gotta, D.; Anagnostopoulos, D. F.; Augsburger, Marc; Borchert, G.; Castelli, C.; Chatellard, D.; Egger, J.; El‐Khoury, Patrick Z.; Gorke, H.; Hauser, Peter C.; Indelicato, P.; Kirch, K.; Lenz, S.; Nelms, N.; Rashid, Khalid; Siems, Th.; Simons, L. M.

doi:10.1016/s0375-9474(99)00385-1

Cited by 70 publications

(63 citation statements)

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“…Besides, they are of particular interest in order to reach the reliable theoretical description of the scattering and de-excitation cascade in the case of hadronic atoms. The last is especially important for the proper analysis of the precise spectroscopic experiments with pionic [1], kaonic [2], and antiprotonic [3] hydrogen isotope atoms, aimed at extraction of strong interaction widths of low angular-momentum states.…”

Section: Introductionmentioning

confidence: 99%

Isotopic effects in scattering and kinetics of the atomic cascade of excited μ−p and μ−d atoms

Popov

Pomerantsev

2017

Phys. Rev. A

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The isotopic effects in the scattering and the kinetics of the atomic cascade of excited µ − p and µ − d atoms The quantum-mechanical calculations of the differential and integrated cross sections of the elastic scattering, Stark transitions, and Coulomb de-excitation at collisions of excited µ − p and µ − d atoms with hydrogen isotope atoms in the ground state are performed. The scattering processes are treated in a unified manner in the framework of the close-coupling approach. The used basis includes both open and closed channels corresponding to all exotic atom states with principal quantum numbers from n = 1 up to nmax = 20. The energy shifts of ns states due to electron vacuum polarization and finite nuclear size are taken into account. The kinetics of atomic cascade of µ − p and µ − d atoms are studied in a wide range of relative target densities (ϕ = 10 −8 − 1) within the improved version of the extended cascade model, in which the results of the numerical quantum-mechanical calculations of the cross sections for quantum numbers and kinetic energies of muonic atoms, that are of interest for the detailed cascade calculations, are used as input data. Initial (n, l, E)-distributions of muonic atoms at the instant of their formation and the target motion are taken into account explicitly in present cascade calculations. The comparison of the calculated cross sections, the kinetic energy distributions of muonic atoms at the instant of their np → 1s radiative transitions as well as the absolute and relative x-ray yields for both muonic hydrogen and muonic deuterium reveals the isotopic effects, which, in principal, may be observed experimentally. The present results are mainly in very good agreement with experimental data available in the literature.PACS numbers: I. INTRODUCTIONThe muonic and hadronic hydrogen-like atoms (µ) are formed in highly-excited states, when a heavy negatively charged particle (µ − , π − , K − , etc.) is slowed down in the gaseous or liquid hydrogen target and captured on the atomic orbit. After the exotic atom formation, its initial distributions in quantum numbers and kinetic energy are changed during the so-called atomic cascade through a number of processes: radiative and Stark transitions, elastic scattering, external Auger effect, Coulomb de-excitation (CD), weak decay, and strong absorption in the case of hadronic atoms.The general features of these exotic atoms are similar to ones of ordinary hydrogen atoms, because their level structure is mainly determined by the static Coulomb interaction. However, due to significant differences of exotic particle and electron masses, the distance scale in the exotic atom case is much smaller, while the energy scale is much larger in comparison with the usual atomic scale. These scale effects make possible to realize the processes of external Auger effect and CD and open additional opportunities for study of the quantum electrodynamics, weak or strong interactions (in the case of hadronic atoms), and scattering processes in collisions of the...

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Section: Introductionmentioning

confidence: 99%

Isotopic effects in scattering and kinetics of the atomic cascade of excited μ−p and μ−d atoms

Popov

Pomerantsev

2017

Phys. Rev. A

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“…Charge-coupled devices (CCDs) are well suited as X-ray detectors because the two dimensional position resolution is already given by the pixel structure. The good energy resolution together with the granularity allows a significant background suppression especially at hadron accelerators, where the beam induced background leads to large clusters which can be rejected by means of a pattern analysis [15,16]. Ultimate resolution in the few keV range is only achievable with silicon and quartz crystals.…”

Section: Methodsmentioning

confidence: 99%

X-ray spectroscopy of light hadronic atoms

Gotta

2009

Hyperfine Interact

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A series of measurements on light exotic atoms has been performed over the last 15 years at the pion factory of the Paul Scherrer Institut and at CERN's antiproton facility LEAR using the cyclotron trap and a focusing Bragg crystal spectrometer. The experiments with pions reached already an accuracy close to the presently achievable technical limits. The information on antiprotons remains unsatisfactory because the studies were terminated with the shut down of LEAR. Some aspects of high resolution X-ray spectroscopy are discussed as well as relations between the elementary processes of absorption and annihilation to observables in light nuclei.

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“…17 Improved resolution was provided by a dedicated experiment (PS174) using a Si(Li) detector, 50 which subsequent experiments using a much higher resolution spectrometers (PS175, using a cyclotron trap for formation of protonium at very low pressures 51 or PS207, using CCD's coupled to a crystal spectrometer 52 ) improved by several orders of magnitude. The results on the spin triplet and spin singlet strong interaction shifts and widths were instrumental in finessing theNN potential models and even uncovered problems (resolved since) with QED calculations for both hydrogen and other isotopes.…”

Section: Protoniummentioning

confidence: 99%