First Observation of the Ground-State Hyperfine-Structure Resonance of the Muonic Helium Atom

Orth, H.; Arnold, Katharina; Egan, P. O.; Gladisch, M.; Jacobs, W. W.; Vetter, J.; Wahl, W.; Wigand, Marcus; Hughes, V. W.; Putlitz, G. zu

doi:10.1103/physrevlett.45.1483

Cited by 49 publications

(17 citation statements)

References 13 publications

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“…Due to its small mass (0.11398 u), collisions involving Mu atoms have constituted a sensitive probe for the importance of ZPE and tunnelling in chemical reactions [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. In turn, C Heμ [11,12,32], whose mass amounts to 4.11548 u, is formed when one of the He electrons is substituted by a negative muon μ − , 206.77 times heavier than the electron. This particle occupies an orbit so internal that screens completely one of the positive charges of the He nucleus.…”

Section: Introductionmentioning

confidence: 99%

“…This made possible to achieve mass ratios up to approximately three, albeit tritium has been rarely used due to its radioactive character that makes it hazardous to handle. It was not until muon science came into play that this limit could be largely overcome by the employment of two new hydrogen isotopes [8][9][10][11][12]: muonium, Mu, and muonic helium, Heμ. In particular, these neutral hydrogen-like atoms can be used to extend our knowledge of the hydrogen exchange reaction exploring the effect of extreme changes of the reactant mass.…”

Section: Introductionmentioning

confidence: 99%

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Understanding the reaction between muonium atoms and hydrogen molecules: zero point energy, tunnelling, and vibrational adiabaticity

et al. 2013

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The advent of very precise measurements of rate coefficients in reactions of muonium (Mu), the lightest hydrogen isotope, with H 2 in its ground and first vibrational state and of kinetic isotope effects with respect to heavier isotopes has triggered a renewed interests in the field of muonic chemistry. The aim of the present article is to review the most recent results about the dynamics and mechanism of the reaction Mu + H 2 to shed light on the importance of quantum effects such as tunnelling, the preservation of the zero point energy, and the vibrational adiabaticity. In addition to accurate quantum mechanical (QM) calculations, quasiclassical trajectories (QCT) have been run in order to check the reliability of this method for this isotopic variant. It has been found that the reaction with H 2 (v=0) is dominated by the high zero point energy (ZPE) of the products and that tunnelling is largely irrelevant. Accordingly, both QCT calculations that preserve the products' ZPE as well as those based on the Ring Polymer Molecular Dynamics methodology can reproduce the QM rate coefficients. However, when the hydrogen molecule is vibrationally excited, QCT calculations fail completely in the prediction of the huge vibrational enhancement of the reactivity. This failure is attributed to tunnelling, which plays a decisive role breaking the vibrational adiabaticity when v=1. By means of the analysis of the results, it can be concluded that the tunnelling takes place through the ν 1 =1 collinear barrier. Somehow, the tunnelling that is missing in the Mu + H 2 (v=0) reaction is found in Mu + H 2 (v=1).

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Understanding the reaction between muonium atoms and hydrogen molecules: zero point energy, tunnelling, and vibrational adiabaticity

et al. 2013

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“…The hfs transition was first observed at SIN at weak magnetic field. 90 The experimental arrangement was very similar to that for muonium weak field transitions and is shown in Observed Larmor pre cession amplitudes A(y) versus Syromagnetic ratio y=f/H. (a) y~ stopped in He + 2% Xe, and forming *HeiTe" (3xl0 8 Ws ); (b) u + stopped tn He+ZZ Xe, and forming u + e~(l.8 x L0 6 y s ).…”

Section: Precision Measurements Of the Hfs Interval Av And Zeeman Effmentioning

confidence: 73%

Muonium

Hughes

Putlitz

1990

Quantum Electrodynamics

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CONTENTS e ]i 18 2 hfs The leading term for the hfs energy contribution E 1 is of order (m /m )« 2 R M and is contained as a portion of H3 and H 5 : Quantum Electrodynamics Downloaded from www.worldscientific.com by NANYANG TECHNOLOGICAL UNIVERSITY on 08/25/15. For personal use only. H h v = 3.183 340 3(44)(1.4 ppm) The latest and most precise measurement of Av and of y /y was made at LAMPF in a strong field experiment 2 "*' with the experimental Quantum Electrodynamics Downloaded from www.worldscientific.com by NANYANG TECHNOLOGICAL UNIVERSITY on 08/25/15. For personal use only.

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“…These are formed as by-products of the process of muon catalyzed fusion, hence are useful to understand the fusion reactions properly [4,5]. The electromagnetic interaction between the electron and negatively charged muon can be better understood by this simplest muonic system by precise measurements of hyperfine structure [6,7].…”

Section: Introductionmentioning

confidence: 99%

Few-body model approach to the bound states of helium-like exotic three-body systems

Khan

2016

J. Phys.: Conf. Ser.

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Abstract. In this paper, calculated energies of the lowest bound S-state of Coulomb three-body systems containing an electron (e − ), a negatively charged muon (µ − ) and a nucleus (N Z+ ) of charge number Z are reported. The 3-body relative wave function in the resulting Schrödinger equation is expanded in the complete set of hyperspherical harmonics (HH). Use of the orthonormality of HH leads to an infinite set of coupled differential equations (CDE) which are solved numerically to get the energy E.

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First Observation of the Ground-State Hyperfine-Structure Resonance of the Muonic Helium Atom

Cited by 49 publications

References 13 publications

Understanding the reaction between muonium atoms and hydrogen molecules: zero point energy, tunnelling, and vibrational adiabaticity

Understanding the reaction between muonium atoms and hydrogen molecules: zero point energy, tunnelling, and vibrational adiabaticity

Muonium

Few-body model approach to the bound states of helium-like exotic three-body systems

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