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Variational, nonrelativisitic energies have been calculated for the ground state ($^3P_g$) and the lowest quintuplet state ($^5S_u$) of the carbon atom, with wavefunctions expressed in the basis of symmetry-projected, explicitly correlated…

化学物理 · 物理学 2020-09-21 Krzysztof Strasburger

No lines have been observed for transitions between the doublet and quartet levels of B I. Consequently, energy levels based on observation for the latter are obtained through extrapolation of wavelengths along the iso-electronic sequence…

The microscopic variant of the Grodzins relation and the Quasiparticle Phonon Model are applied to predict the excitation energies of the $2^+_1$ states of neutron deficient U and Pu isotopes. The P-factor systematics is used to determine…

核理论 · 物理学 2025-04-11 L. A. Malov , N. Yu. Shirikova , R. V. Jolos , E. A. Kolganova

We present high-precision non-relativistic variational calculations of bound vibrational-rotational state energies for the $H_2^+$ and $D_2^+$ molecular ions in each of the lowest electronic states of $\Sigma_g$, $\Sigma_u$, and $\Pi_u$…

原子物理 · 物理学 2007-05-23 J. M. Taylor , Zong-Chao Yan , A. Dalgarno , J. F. Babb

High-precision QED calculations of the ground-state ionization energies are performed for all boronlike ions with the nuclear charge numbers in the range $16 \leqslant Z\leqslant 96$. The rigorous QED calculations are performed within the…

High-precision results are reported for the energy levels of $2{^1S}$ and $2{^1P}$ states of the beryllium atom. Calculations are performed using fully correlated Gaussian basis sets and taking into account the relativistic, quantum…

原子物理 · 物理学 2018-08-08 Mariusz Puchalski , Krzysztof Pachucki , Jacek Komasa

For rovibronic states corresponding to the $B$ and $B'\ ^1\Sigma_\text{u}^+$ electronic states of the hydrogen molecule, the pre-Born--Oppenheimer (four-particle) non-relativistic energy is converged to a 1-3 parts-per-billion relative…

化学物理 · 物理学 2023-01-10 Eszter Saly , Dávid Ferenc , Edit Mátyus

The radium atom is a promising system for studying parity and time invariance violating weak interactions. However, available experimental spectroscopic data for radium is insufficient for designing an optimal experimental setup. We…

原子物理 · 物理学 2009-11-13 V. A. Dzuba , V. V. Flambaum

Accurate three-body quantal calculations of the system composed of a proton, an antiproton, and an electron are performed in perimetric coordinates with the Lagrange-mesh method, an approximate variational calculation with the simplicity of…

核理论 · 物理学 2020-03-04 Daniel Baye , Jérémy Dohet-Eraly

The development of computational resources has made it possible to determine upper bounds for atomic and molecular energies with high precision. Yet, error bounds to the computed energies have been available only as estimates. In this…

化学物理 · 物理学 2023-01-10 Miklos Ronto , Peter Jeszenszki , Edit Mátyus , Eli Pollak

We report on accurate variational calculations of the Born-Oppenheimer potential for excited states of the hydrogen molecule with $\Pi$, $\Delta$, and $\Phi$ symmetries. The obtained potential energy curves reach the relative precision of…

原子物理 · 物理学 2023-01-11 Michał Siłkowski , Krzysztof Pachucki

Highly precise variational calculations of non-relativistic energies of the (2p^2)^3P^e state of Helium atom are presented.We get an upper bound energy E=-0.71050015565678 a.u.,the lowest yet obtained.

原子物理 · 物理学 2009-11-10 Tapan K. Mukherjee , Prasanta K. Mukherjee

In this work, we use the Born-Oppenheimer approximation where the potential between atoms can be approximated as a function of distance between the two nuclei to study the four-quark bound states. By the approximation, Heitler and London…

高能物理 - 唯象学 · 物理学 2015-09-02 Xue-Wen Liu , Hong-Wei Ke , Yi-Bing Ding , Xue-Qian Li

The notoriously small $X ^3\Pi-a ^1\Sigma^+$ excitation energy of the BN diatomic has been calculated using high-order coupled cluster methods. Convergence has been established in both the 1-particle basis set and the coupled cluster…

化学物理 · 物理学 2007-05-23 Amir Karton , Jan M. L. Martin

Three simple $7-, (7+3)-, 10-$parametric trial functions for the ${\rm H}_3^+$ molecular ion are presented. Each of them provides subsequently the most accurate approximation for the Born-Oppenheimer ground state energy among…

量子物理 · 物理学 2015-05-28 J. C. Lopez Vieyra , A. V. Turbiner , H. Medel Cobaxin

Energy levels of the four lowest bands in 160,162,164Dy and 168Er, B(E2) transition strengths between the levels, and the B(M1) strength distribution of the ground state, all calculated within the framework of pseudo-SU(3) model, are…

核理论 · 物理学 2007-05-23 J. P. Draayer , G. Popa , J. G. Hirsch

The rigorous QED approach is employed to calculate the energies of the $2p2p\,^3P_{0,1,2}$, $2p2p\,^1D_2$, and $2p2p\,^1S_0$ states of selected Be-like highly charged ions over a wide range of nuclear-charge numbers, $18 \leqslant Z…

原子物理 · 物理学 2025-11-17 A. V. Malyshev , Y. S. Kozhedub , V. M. Shabaev , I. I. Tupitsyn

The electron Lamb shift $(2P-2S)$ and the energy interval $(2S-1S)$ in muon-electron ions of lithium, beryllium, and boron have been calculated within the framework of the perturbation theory method for the fine structure constant and the…

原子物理 · 物理学 2021-05-19 A. E. Dorokhov , V. I. Korobov , A. P. Martynenko , F. A. Martynenko

Quadrupole excitations of even-even Ru and Pd isotopes are described within microscopic approach based on the general collective Bohr model which includes the effect of coupling with the pairing vibrations. The excitation energies and E2…

核理论 · 物理学 2009-10-31 K. Zajac , L. Prochniak , K. Pomorski , S. G. Rohozinski , J. Srebrny

We perform ab initio QED calculations of energy levels for the $n=1$ and $n=2$ states of He-like ions with the nuclear charge in the range $Z = 12$-100. The complete set of two-electron QED corrections is evaluated to all orders in the…

原子物理 · 物理学 2009-11-11 A. N. Artemyev , V. M. Shabaev , V. A. Yerokhin , G. Plunien , G. Soff
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