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We calculate for the first time the finite size corrections in the massive Thirring model. This is done by numerically solving the equations of periodic boundary conditions of the Bethe ansatz solution. It is found that the corresponding…

High Energy Physics - Theory · Physics 2009-10-30 Takehisa Fujita , Hidenori Takahashi

We consider the finite size effect on thermo-magnetic properties of charged Bose gases confined in a quasi two-dimentsional potential. A modified semiclassical approach is used, taking into account the finite size correction to guarantee an…

Quantum Gases · Physics 2017-11-27 A. H. Abbas , W. M. Seif , Th. elsherbini , Ahmed S. Hassan

The one-loop self-energy correction to the hyperfine structure splitting of the 1s and 2s states of hydrogenlike ions is calculated both for the point and finite nucleus. The results of the calculation are combined with other corrections to…

Atomic Physics · Physics 2009-10-30 V. A. Yerokhin , V. M. Shabaev , A. N. Artemyev

It is shown that the rate of corrections to the hydrogen atom and harmonic oscillator due to profound quantum-gravitational effect of space-time dimension running/reduction coincides well with those obtained by means of the minimum-length…

High Energy Physics - Theory · Physics 2015-05-13 Michael Maziashvili , Zurab Silagadze

The relativistic recoil contributions to the Uehling corrections are revisited. We consider a controversy in recent calculations based on different approaches including Breit-type and Grotch-type calculations. We have found that…

Atomic Physics · Physics 2013-05-30 Savely G. Karshenboim , Vladimir G. Ivanov , Evgeny Yu. Korzinin

A general quantum electrodynamic method for derivation of nuclear recoil corrections in hydrogenic systems, which are exact in the nuclear charge parameter $Z\,\alpha$, is introduced. The exemplary derivation is presented for the $O(m/M)$…

Atomic Physics · Physics 2024-05-21 Krzysztof Pachucki

By solving the Schr\"odinger equation one obtains the whole energy spectrum, both the bound and the continuum states. If the Hamiltonian depends on a set of parameters, these could be tuned to a transition from bound to continuum states.…

Quantum Physics · Physics 2010-09-23 Sabre Kais

We calculated in nonlinear bosonized theory $1/\bar{N}$ corrections to the Landau Fermi-liquid fixed-point (FLFP) axial-vector coupling constant in nuclear matter $g_A^L\approx 1$ to which the Landau parameter $F_1^\omega$ predominantly…

Nuclear Theory · Physics 2023-11-30 Long-Qi Shao , Mannque Rho

We discuss the origin of the finite size error of the energy in many-body simulation of systems of charged particles and we propose a correction based on the random phase approximation at long wave lengths. The correction comes from…

Other Condensed Matter · Physics 2009-11-11 Simone Chiesa , David M. Ceperley , Richard M. Martin , Markus Holzmann

The self-energy and vertex QED radiative corrections (Z alpha^2 f(Z alpha)) are shown to give a large negative contribution to the parity nonconserving (PNC) amplitude in heavy atoms. The correction -0.7(2)% found for the 6s-7s PNC…

High Energy Physics - Phenomenology · Physics 2009-08-18 M. Yu. Kuchiev , V. V. Flambaum

The current status of bound state quantum electrodynamics calculations of transition energies for few-electron ions is reviewed. Evaluation of one and two body QED correction is presented, as well as methods to evaluate many-body effects…

Atomic Physics · Physics 2020-01-08 Paul Indelicato

The method and status of a study to provide numerical, high-precision values of the self-energy level shift in hydrogen and hydrogen-like ions is described. Graphs of the self energy in hydrogen-like ions with nuclear charge number between…

Quantum Physics · Physics 2009-11-10 Eric-Olivier Le Bigot , Ulrich D. Jentschura , Paul Indelicato , Peter J. Mohr

Relativistic corrections are investigated to the Gamow-Teller(GT) sum rule with respect to the difference between the $\beta_-$ and $\beta_+$ transition strengths in nuclei. Since the sum rule requires the complete set of the nuclear…

Nuclear Theory · Physics 2009-11-11 Haruki Kurasawa , Toshio Suzuki

We have formulated the quasipotential method for the calculation of the relativistic and radiative corrections to the magnetic moment of the two-particle bound state in the case of particles with arbitrary spin. It is shown that the…

High Energy Physics - Phenomenology · Physics 2014-11-17 R. N. Faustov , A. P. Martynenko

The nonresonant (NR) corrections are estimated for the most accurately measured two-photon transition 1s-2s in the hydrogen atom. These corrections depend on the measurement process and set a limit for the accuracy of atomic frequency…

Atomic Physics · Physics 2009-11-07 L. N. Labzowsky , D. A. Solovyev , G. Plunien , G. Soff

In this paper we consider the evaluation of the Araki-Sucher correction for arbitrary many-electron atomic and molecular systems. This contribution appears in the leading order quantum electrodynamics corrections to the energy of a bound…

Chemical Physics · Physics 2017-12-06 Justyna G. Balcerzak , Michał Lesiuk , Robert Moszynski

A method of cut-off regularization is proposed to evaluate vacuum corrections in nuclear matter in the framework of the Hartree approximation. Bulk properties of nuclear matter calculated by this method are a good agreement with results…

Nuclear Theory · Physics 2007-05-23 Kazuharu Koide , Hiroaki Kouno , Akira Hasegawa , Masahiro Nakano

We investigate the exchange effect between the final atom's bound electrons and those emitted in the allowed $\beta$-decay of the initial nucleus. The electron wave functions are obtained with the Dirac-Hartree-Fock-Slater self-consistent…

Atomic Physics · Physics 2024-07-17 O. Niţescu , S. Stoica , F. Šimkovic

The bound-electron g factor is a stringent tool for tests of the Standard Model and the search for new physics. The comparison between an experiment on the g factor of lithiumlike silicon and the two recent theoretical values revealed the…

Atomic Physics · Physics 2022-03-23 V. P. Kosheleva , A. V. Volotka , D. A. Glazov , D. V. Zinenko , S. Fritzsche

We study numerically Anderson localization on lattices that are tree-like except for the presence of one loop of varying length $L$. The resulting expressions allow us to compute corrections to the Bethe lattice solution on i)…

Disordered Systems and Neural Networks · Physics 2023-10-17 Matilde Baroni , Giulia Garcia Lorenzana , Tommaso Rizzo , Marco Tarzia