High precision study of muon catalyzed fusion in D2 and HD gas

Balin, D. V.; Ganzha, V. A.; Kozlov, Sergey M.; Maev, E. M.; Petrov, G.E.; Soroka, Mirosław; Schapkin, G. N.; Semenchuk, G. G.; Trofimov, V.; Vasiliev, A. A.; Vorobyov, A. A.; Voropaev, N. I.; Petitjean, C.; Gartner, Barbara L.; Lauss, B.; Márton, J.; Zmeskal, J.; Case, T.; Crowe, K. M.; Kammel, P.; Hartmann, F. J.; Faǐfman, M. P.

doi:10.1134/s106377961102002x

Cited by 58 publications

(82 citation statements)

References 52 publications

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“…Impressive progress on both the experimental [30][31][32][33][34][35][36][37] and the theoretical [38][39][40][41][42][43][44][45][46][47][48][49] sides of precision molecular spectroscopy have been accomplished in the past decade, opening the possibility of searching for extra forces below the Å scale using transition frequencies of well-understood simple molecular systems. Certain of these results have recently been used to bound short distance modifications of gravity, see Refs.…”

Section: B Molecular Spectroscopymentioning

confidence: 99%

Bounding quantum dark forces

2018

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Dark sectors lying beyond the Standard Model and containing sub-GeV particles which are bilinearly coupled to nucleons would induce quantum forces of the Casimir-Polder type in ordinary matter. Such new forces can be tested by a variety of experiments over many orders of magnitude. We provide a generic interpretation of these experimental searches and apply it to a sample of forces from dark scalars behaving as 1=r 3 , 1=r 5 , 1=r 7 at short range. The landscape of constraints on such quantum forces differs from the one of modified gravity with Yukawa interactions and features, in particular, strong short-distance bounds from molecular spectroscopy and neutron scattering.

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Section: B Molecular Spectroscopymentioning

confidence: 99%

Bounding quantum dark forces

2018

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“…+ t + µ − is known to catalyse nuclear fusion at room temperature [8][9][10] and the recent discrepancy between determinations of the proton radius using muonic hydrogen spectroscopy involved consideration of weakly bound three-body systems such as (pµe) − and (ppµ) + . 11 Furthermore, the muonium negative ion (e − e − µ + ) has been observed as an impurity during muon spin resonance spectroscopy used to probe hydrogen impurities in semiconductors and a range of materials.…”

Section: Introductionmentioning

confidence: 99%

The stability of S-states of unit-charge Coulomb three-body systems: From H− to H2+

King

Longford

Cox

2013

The Journal of Chemical Physics

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High accuracy non-relativistic quantum chemical calculations of the ground state energies and wavefunctions of symmetric three-particle Coulomb systems of the form {m ± 1 m ± 2 m ∓ 3 }, m 1 = m 2 , are calculated using an efficient and effective series solution method in a triple orthogonal Laguerre basis set. These energies are used to determine an accurate lower bound to the stability zone of unit-charge three-particle Coulomb systems using an expression for the width of the stability band in terms of g,t h ef r a c t i o n a la d d i t i o n a lb i n d i n gd u et oat h i r dp a r t i c l e .T h er e s u l t sa r ep r e s e n t e di nt h ef o r mo f areciprocalmassfractionternarydiagramandtheenergiesusedtoderi veaparameterisedfunction g(a 3 ), where a 3 = m 3 )isthereciprocalmassoftheuniquelychargedparticle. It is found that the function is not minimal at a 3 = 0whichcorrespondsto∞H − nor is it minimal at the positronium negative ion (Ps − )t h es y s t e mw i t ht h el e a s ta b s o l u t ee n e r g e t i cg a i nb ya s s o c iation with a third particle; the function g(a 3 )i sm i n i m a la tm 1 /m 3 = 0.49, and a possible physical interpretation in terms of the transition from atomic-like to molecular-like is provided. ©2013AIP Publishing LLC. [http://dx.doi.org/10.1063/1.4834036]

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“…In the case of orthogonal transformations such a type of transition between wave functions may be accomplished by means of Talmi-Moshinsky brackets [22] (14) where ε i and σ i are the oscillator quanta and angular momentum quantum numbers for the ith Jacobi coordinate → y i , and i = 0,1. The first two-body Coulomb operator of Hamiltonian (7) …”

Section: Methodsmentioning

confidence: 99%

“…+ is known to catalyse nuclear fusion at room temperature [14]. Another important example is about the recently obtained discrepancy between different determinations of the proton radius, which initiated consideration of the weakly bound three-particle systems such as e + [15].…”

Section: Introductionmentioning

confidence: 99%

New possibilities of harmonic oscillator basis application for calculation of the ground state energy of a Coulomb non-identical three-particle system

Deveikis¹

2017

Lith. J. Phys.

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A new harmonic oscillator (HO) expansion method for calculation of the non-relativistic ground state energy of the Coulomb non-identical three-particle systems is presented. The HO expansion basis with different size parameters in the Jacobi coordinates instead of only one unique oscillator length parameter in the traditional treatment is introduced. This method is applied to calculate the ground state energy of a number of Coulomb three-particle systems for up to 28 excitation HO quanta. The obtained results suggest that the HO basis with different size parameters in the Jacobi coordinates could lead to significant increasing of the rate of convergence for the ground state energy than in the traditional approach.

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High precision study of muon catalyzed fusion in D2 and HD gas

Cited by 58 publications

References 52 publications

Bounding quantum dark forces

Bounding quantum dark forces

The stability of S-states of unit-charge Coulomb three-body systems: From H− to H2+

New possibilities of harmonic oscillator basis application for calculation of the ground state energy of a Coulomb non-identical three-particle system

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