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The nuclear recoil effect on the $g$ factor of the ground state of highly charged B-like ions is studied to first order in the electron-to-nucleus mass ratio $m/M$. The leading one-electron and two-electron recoil contributions are…

原子物理 · 物理学 2019-01-02 I. A. Aleksandrov , D. A. Glazov , A. V. Malyshev , V. M. Shabaev , I. I. Tupitsyn

We study two correlated electrons in a nearest neighbour tight- binding chain, with both on site and nearest neighbour interaction. Both the cases of parallel and antiparallel spins are considered. In addition to the free electron band for…

介观与纳米尺度物理 · 物理学 2009-11-10 J. F. Weisz , F. Claro

Matching for a wavefunction the WKB expansion at large distances and Taylor expansion at small distances leads to a compact, few-parametric uniform approximation found in {\it J. Phys. B44, 101002 (2011)}. The ten low-lying eigenstates of…

量子物理 · 物理学 2019-08-13 Horacio Olivares-Pilón , Alexander V. Turbiner

We consider finite discrete systems consisting of two different atomic types and investigate ground-state configurations for configurational energies featuring two-body short-ranged particle interactions. The atomic potentials favor some…

介观与纳米尺度物理 · 物理学 2019-04-15 Manuel Friedrich , Leonard Kreutz

We present an efficient approach to the electron correlation problem that is well-suited for strongly interacting many-body systems, but requires only mean-field-like computational cost. %which is based on orbital optimization of electron…

The standard solution of the Schroedinger equation for the hydrogen atom is analyzed. Comparing with the recently established internal properties of electrons it is found, that these solutions cannot be seen as physically valid states of…

量子物理 · 物理学 2009-09-25 W. A. Hofer

The bipolaron are two electrons coupled to the elastic deformations of an ionic crystal. We study this system in the Fr\"{o}hlich approximation. If the Coulomb repulsion dominates, the lowest energy states are two well separated polarons.…

数学物理 · 物理学 2009-11-11 T. Miyao , H. Spohn

The nuclear charge radius is a fundamental observable that encodes key aspects of nuclear structure, deformation, and pairing. Isotonic (constant neutron number) systematics in the deformed rare-earth region have long suggested that odd-$Z$…

Using a variational method we study a sequence of the one-electron atomic and molecular-type systems H, H_2^+, H_3^(2+) and H_4^(3+) in the presence of a homogeneous magnetic field ranging B = 0 - 4.414x10^{13} G. These systems are taken as…

天体物理学 · 物理学 2009-10-31 J. C. Lopez V. , A. Turbiner

We discuss charge symmetry and charge independence breaking in a chiral effective field theory approach for few-nucleon systems based on a modified Weinberg power counting. We construct a two-nucleon potential with bound and scattering…

核理论 · 物理学 2009-11-06 Markus Walzl , Ulf-G. Meißner , Evgeny Epelbaum

The convergent close-coupling method is applied to the calculation of fully differential cross sections for ionization of atomic hydrogen by 15.6 eV electrons. We find that even at this low energy the method is able to yield predictive…

原子物理 · 物理学 2009-10-31 Igor Bray

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

The two-loop self-energy correction to the ground state Lamb shift is calculated for hydrogen-like ions with the nuclear charge Z=10-30 without any expansion in the binding field of the nucleus. A calculational technique is reported for…

原子物理 · 物理学 2015-05-14 V. A. Yerokhin

A method to calculate the form factor for an external current with non-derivative coupling for the three-body system in an effective field theory (EFT) of short-range interactions is shown. Using this method the point charge radius of…

核理论 · 物理学 2018-09-19 Jared Vanasse

This paper is concerned with the Schr\"odinger equation for atoms and ions with N=1 to 10 electrons. In the asymptotic limit of large nuclear charge $Z$, we determine explicitly the low-lying energy levels and eigenstates. The asymptotic…

数学物理 · 物理学 2009-05-11 Gero Friesecke , Benjamin D. Goddard

We study the ground state properties of doubly closed shell nuclei $^{16}$O and $^{40}$Ca in the framework of Correlated Basis Function theory using state dependent correlations, with central and tensor components. The realistic Argonne…

核理论 · 物理学 2009-10-31 A. Fabrocini , F. Arias de Saavedra , G. Co

The two-loop self-energy correction is evaluated to all orders in Z alpha for the ground-state Lamb shift of H-like ions with Z >= 20, where Z is the nuclear charge number and alpha is the fine structure constant. The results obtained are…

高能物理 - 唯象学 · 物理学 2009-11-10 V. A. Yerokhin , P. Indelicato , V. M. Shabaev

A detailed analysis on the effect of spherical impenetrable confinement on the structural properties of two-electron ions in S-states have been done. The energy values of 1sns [n = 2-4] (3Se) states of helium-like ions (Z = 2-5) are…

原子物理 · 物理学 2015-11-26 J. K. Saha , S. Bhattacharyya , T. K. Mukherjee

The exotic $^9$He nucleus, which presents one of the most extreme neutron-to-proton ratios, belongs to the $N=7$ isotonic chain famous for the phenomenon of ground-state parity inversion with decreasing number of protons. Consequently, it…

The scaling of nuclear spin-dependent parity violating effects with increasing nuclear charge $Z$ is discussed in two series of isovalent open-shell diatomic molecules. The parameter $W_\mathrm{a}$ characterising the strength of parity…

化学物理 · 物理学 2013-04-09 T. A. Isaev , R. Berger