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The electronic stress tensor of the hydrogen molecule ion H_2^+ is investigated for the ground state (sigma_g 1s) and the first excited state (sigma_u^* 1s) using their exact wave functions. A map of its largest eigenvalue and corresponding…

化学物理 · 物理学 2009-12-16 Kazuhide Ichikawa , Akitomo Tachibana

A HD-like isotopic dipole moment is proposed as a sensible probe for molecular environments, in particular for electrostatic fields and polarizable (reactive) sites of molecules. Fictitious nuclear masses are chosen in order to yield a…

化学物理 · 物理学 2018-10-02 José R. Mohallem , Paulo F. G. Velloso , Antonio F. C. Arapiraca

Combining the WKB expansion at large distances and Perturbation Theory at small distances it is constructed a compact uniform approximation for eigenfunctions. For lowest states $1s\si_{g}$ and $2p\si_{u}$ this approximation provides the…

量子物理 · 物理学 2015-05-27 Alexander V. Turbiner , Horacio Olivares-Pilón

We present high-precision ab initio calculations of the static and dynamic polarizability of the barium monohydroxide ($^{138}$BaOH) molecule, using relativistic coupled-cluster theory. By thoroughly investigating the dependence of the…

Molecular hydrogen ions are of metrological relevance due to the possibility of precise theoretical evaluation of their spectrum and of external-field-induced shifts. We report the results of the calculations of the rate of laser-induced…

原子物理 · 物理学 2018-03-21 Vladimir I. Korobov , Petar Danev , Dimitar Bakalov , Stephan Schiller

A detailed calculation of electric and magnetic static polarizabilities of octet hyperons is presented in the framework of the bound state soliton model. Both seagull and dispersive contributions are considered, and the results are compared…

高能物理 - 唯象学 · 物理学 2009-10-28 Carlo Gobbi , Carlos L. Schat , Norberto N. Scoccola

A detailed study of the low-lying electronic states ${}^1\Si,{}^3\Si,{}^3\Pi,{}^3\De$ of the $\rm{HeH}^+$ molecular ion in parallel to a magnetic field configuration (when $\al$-particle and proton are situated on the same magnetic line) is…

原子物理 · 物理学 2009-11-13 A. V. Turbiner , N. L. Guevara

The Dirac equation for H$_2^+$ is solved numerically using an iterative method proposed by Kutzelnigg [Z. Phys. 11, 15 (1989]. The four-component wavefunction is expanded in a newly introduced kinetically balanced exponential basis set. The…

原子物理 · 物理学 2022-06-15 Hugo D. Nogueira , Vladimir I. Korobov , Jean-Philippe Karr

Highly accurate variational calculations, based on a few-parameter, physically adequate trial function, are carried out for the hydrogen molecule \hh in inclined configuration, where the molecular axis forms an angle $\theta$ with respect…

原子物理 · 物理学 2019-08-06 A. Alijah , J. C. López Vieyra , D. J. Nader , A. V. Turbiner , H. Medel Cobaxin

The photodissociation cross section of the molecular ion HeH$^+$ was calculated within the Born-Oppenheimer approximation for a parallel, a perpendicular, and an isotropic orientation of the molecular axis with respect to the field,…

原子物理 · 物理学 2015-05-13 Irina Dumitriu , Alejandro Saenz

The main experimental works, where dipole polarizabilities of charged pions have been determined, are considered. Possible reasons for the differences between the experimental data are discussed. In particular, it is shown that the account…

高能物理 - 唯象学 · 物理学 2018-06-20 L. V. Fil'kov , V. L. Kashevarov

A new state of the H$_2^+$ molecular ion with binding energy of 1.09$\times10^{-9}$ a.u. below the first dissociation limit is predicted, using highly accurate numerical nonrelativistic quantum calculations. It is the first L=0 excited…

The hydrogen molecules $H_2$ and $(H_2)_2$ are analyzed with electronic correlations taken into account between the $1s$ electrons exactly. The optimal single-particle Slater orbitals are evaluated in the correlated state of $H_2$ by…

We derive an expression for the static dielectric constant of the colloidal susp ensions based on the electrokinetic equations. The analysis assumes that the ions have the same diffusivity, and that the double layer is much thinner than the…

软凝聚态物质 · 物理学 2009-11-07 C. -Y. D. Lu

The energy splitings for $J = 1$, $F=3/2$, $|M_F|=3/2$ hyperfine levels of the $^3\Delta_1$ electronic state of $^{180}$Hf$^{19}$F$^+$ ion are calculated as functions of the external variable electric and magnetic fields within two…

原子物理 · 物理学 2018-05-16 A. N. Petrov

This paper is a theoretical work in support of a newly proposed experiment (R. Stutz and E. Cornell, Bull. Am. Soc. Phys. 89, 76 2004) that promises greater sensitivity to measurements of the electron's electric dipole moment (EDM) based on…

原子物理 · 物理学 2009-11-11 Edmund R. Meyer , John L. Bohn , Michael P. Deskevich

In this paper we present tabulated data for magnetic-dipole-to-electric-quadrupole cross-susceptibilities ($\chi_{\textrm{M}1 \to \textrm{E}2}$) for Dirac one-electron atoms with a pointlike, spinless and motionless nucleus of charge $Ze$.…

原子物理 · 物理学 2016-11-08 Patrycja Stefańska

We consider the hydrogen molecular ion $H^+_2$ in the presence of a strong homogeneous magnetic field. In this regime, the effective Hamiltonian is almost one dimensional with a potential energy which looks like a sum of two Dirac delta…

数学物理 · 物理学 2009-11-10 R. D. Benguria , R. Brummelhuis , P. Duclos , S. Perez-Oyarzun

Potential energy surfaces of the hydrogen molecular ion H$_2^+$ in the Born-Oppenheimer approximation are computed by means of the Riccati-Pad\'e method (RPM). The convergence properties of the method are analyzed for different states. The…

化学物理 · 物理学 2022-10-25 Francisco Marcelo Fernández , Javier Garcia

We present a state-of-the-art evaluation of the polarizability corrections--the inelastic nucleon corrections--to the hydrogen ground-state hyperfine splitting using analytic fits to the most recent data. We find a value $\Delta_{\rm pol} =…

高能物理 - 唯象学 · 物理学 2008-11-26 Vahagn Nazaryan , Carl E. Carlson , Keith A. Griffioen