Hydrogen-antihydrogen interactions

Kołos, W.; Morgan, David L.; Schrader, D. M.; Wolniewicz, L.

doi:10.1103/physreva.11.1792

Cited by 161 publications

(215 citation statements)

References 20 publications

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“…Combining the QMC energies and derivatives at only four points leads to the curve shown in Figure 1. Compared to the exact curve obtained by Kolos and Wolniewicz (15), our error is less than the thickness of the line.…”

Section: Ill Qmc Molecular Propertiesmentioning

confidence: 73%

Molecular physics and chemistry applications of quantum Monte Carlo

et al. 1986

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Abstract.We discuss recent work with the diffusion quantum Monte Carlo (QMC) method in its application to molecular systems. The formal correspondence of the imaginary time Schrodinger equation to a diffusion equation allows one to calculate quantum mechanical expectation values as Monte Carlo averages over an ensemble of random walks. 'rVe report work on atomic and molecular total energies, as well as properties including electron affinities, bind ing energies, reaction barriers, and momen ts of the electronic charge distribution. A brief discussion is given on how standard QMC must be modified for calculating properties. Calculated energies and properties are presented for a number of molecular systems, including He, F, F-, H 2 , N, and N 2 . Recent progress in extending the basic QMC approach to the calculation of "analytic" (as opposed to finite-difference) derivatives of the energy is presented, together with an H2 potential-energy curve obtained using analytic derivatives.

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Section: Ill Qmc Molecular Propertiesmentioning

confidence: 73%

Molecular physics and chemistry applications of quantum Monte Carlo

et al. 1986

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“…There has been interest in calculations on the interaction of H with H, since the 1970s, Junker and Bardsley [206], Morgan and Hughes [207], Ko los et al [208], Campeanu and Beu [209], Shylapnikov et al [210]. However, the work on the preparation of H described above has generated greater theoretical interest in this system, Armour et al [169,211,212,213,214,215] Jonsell, Froelich et al [216,217,218,219,220,221,222], Sinha and Ghosh [223], Voronin and Carbonell [224].…”

Section: Hhmentioning

confidence: 99%

“…Ko los et al [208] showed that R c < 0.95 a 0 , using the Rayleigh-Ritz variational method and a trial function containing Hylleraas-type functions. Armour et al [212] went on to show R < 0.8 a 0 , a fixed proton and an antiproton can bind an electron and a positron.…”

Section: Hhmentioning

confidence: 99%

Stability of few-charge systems in quantum mechanics

2005

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We consider non-relativistic systems in quantum mechanics interacting through the Coulomb potential, and discuss the existence of bound states which are stable against spontaneous dissociation into smaller atoms or ions. We review the studies that have been made of specific mass configurations and also the properties of the domain of stability in the space of masses or inverse masses. These rigorous results are supplemented by numerical investigations using accurate variational methods. A section is devoted to systems of three arbitrary charges and another to molecules in a world with two space-dimensions.

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“…One theoretical approach to study the lowest-energy state of the greater (e + e − pp) system is to use the variational method equipped with either explicitly correlated Slater-type or Gaussian-type orbitals with e + -e − correlations. This method has provided a great wealth of information regarding the lowest-energy state of the four-body system [5,6,7,8,9]. As our interest is focused on the properties of possible two-body states of the composite H andH atoms, the two-body H-H states of our interest may or may not necessarily be the lowest-energy state of the greater (e + e − pp) system.…”

Section: Introductionmentioning

confidence: 99%

“…For the elastic channel, one often takes the interaction potential to be the adiabatic potential obtained in a variational calculation for the lowest-energy state of the e + and the e − in the Born-Oppenheimer potential [4,5,6,7,8,9,10]. The e + -e − correlation property of the lowest-energy adiabatic state will undergo a change as the interatomic separation changes.…”

Section: Introductionmentioning

confidence: 99%

Peculiar features of the interaction potential between hydrogen and antihydrogen at intermediate separations

2008

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We evaluate the interaction potential between a hydrogen and an antihydrogen using the secondorder perturbation theory within the framework of the four-body system in a separable two-body basis. We find that the H-H interaction potential possesses the peculiar features of a shallow local minimum located around interatomic separations of r ∼ 6 a.u. and a barrier rising at r 5 a.u. Additional theoretical and experimental investigations on the nature of these peculiar features will be of great interest.

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Hydrogen-antihydrogen interactions

Cited by 161 publications

References 20 publications

Molecular physics and chemistry applications of quantum Monte Carlo

Molecular physics and chemistry applications of quantum Monte Carlo

Stability of few-charge systems in quantum mechanics

Peculiar features of the interaction potential between hydrogen and antihydrogen at intermediate separations

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