Collisional deexcitation of exotic hydrogen atoms in highly excited states

Jensen, T.; Markushin, V. E.

doi:10.1140/epjd/e2002-00207-y

Cited by 33 publications

(30 citation statements)

References 37 publications

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“…For the collisions of highly excited exotic atoms (n > 8) with molecular hydrogen the results of the classical-trajectory Monte Carlo calculations [24] were used. It is important to note that the isotopic effect revealed in the cross sections for scattering of muonic atoms in states with n < 9, is virtually nonexistent in their scattering in highly excited states with n > 9.…”

Section: Kinetics Of the Atomic Cascadementioning

confidence: 99%

“…The theoretical study of the CD has also a long history (e.g., see [21][22][23][24][25][26][27]). Nevertheless, in the most important region n = 2 − 8 of the principal quantum number, relevant for the kinetics of the atomic cascade, this process has been regarded as the least studied until last decade [28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

“…However, this approximation can not be justified for low-energy scattering (see [19]). Thus, the latter approach as well as various modifications of the semiclassical model [5,6,20] lead to unreliable results in the low-energy region where only the lowest partial waves are important.The theoretical study of the CD has also a long history (e.g., see [21][22][23][24][25][26][27]). Nevertheless, in the most important region n = 2 − 8 of the principal quantum number, relevant for the kinetics of the atomic cascade, this process has been regarded as the least studied until last decade [28][29][30][31].…”

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confidence: 99%

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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: Kinetics Of the Atomic Cascadementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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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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“…Slow negative muons are decelerated in low-pressure (1.0 hPa) hydrogen (H 2 ) gas before they are captured and μ − p atoms in highly excited states (n ≈ 14) are formed [18][19][20]. At this principle quantum number, the overlap of muonic and electronic wave functions is maximal and n can be estimated from n ≈ m [18,21]), most of the μ − p atoms quickly cascade down to the 1S ground state, thereby emitting a prompt K-line Xray.…”

Section: History Of the Experimentsmentioning

confidence: 99%

“…At this principle quantum number, the overlap of muonic and electronic wave functions is maximal and n can be estimated from n ≈ m [18,21]), most of the μ − p atoms quickly cascade down to the 1S ground state, thereby emitting a prompt K-line Xray. For 0.6 hPa, the cascade time has been determined to be T μp cas = (37 ± 5) ns [22].…”

Section: History Of the Experimentsmentioning

confidence: 99%

The size of the proton from the Lamb shift in muonic hydrogen

Pohl

2011

2011 Conference on Lasers and Electro-Optics Europe and 12th European Quantum Electronics Conference (CLEO EUROPE/EQEC)

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The root-mean-square (rms) charge radius r p of the proton has so far been known only with a surprisingly low precision of about 1% from both electron scattering and precision spectroscopy of hydrogen. We have recently determined r p by means of laser spectroscopy of the Lamb shift in the exotic "muonic hydrogen" Published in " " which should be cited to refer to this work.http://doc.rero.ch atom. Here, the muon, which is the 200 times heavier cousin of the electron, orbits the proton with a 200 times smaller Bohr radius. This enhances the sensitivity to the proton's finite size tremendously. Our new value r p = 0.84184 (67) fm is ten times more precise than the generally accepted CODATA-value, but it differs by 5 standard deviations from it. A lively discussion about possible solutions to the "proton size puzzle" has started. Our measurement, together with precise measurements of the 1S-2S transition in regular hydrogen and deuterium, also yields improved values of the Rydberg constant, R ∞ = 10,973,731.568160 (16) m −1 .

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Laser spectroscopy of muonic hydrogen

et al. 2013

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Muonic hydrogen (μp) is a very sensitive probe of the proton structure. Laser spectroscopy of two 2S-2P transitions in μp was used to determine both the Lamb shift and the hyperfine splitting of the 2S state in μp. The rms charge radius of the proton, R ch = 0.84087(39) fm, was extracted from the Lamb shift. The Zemach radius of the proton, R Z = 1.082(37) fm, was obtained from the 2S-hyperfine splitting. This article summarizes the previously published findings.

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Collisional deexcitation of exotic hydrogen atoms in highly excited states

Cited by 33 publications

References 37 publications

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

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

The size of the proton from the Lamb shift in muonic hydrogen

Laser spectroscopy of muonic hydrogen

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