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Related papers: Calculation of size for bound-state constituents

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The theoretical treatment of Rydberg states in one-electron ions is facilitated by the virtual absence of the nuclear-size correction, and fundamental constants like the Rydberg constant may be in the reach of planned high-precision…

Atomic Physics · Physics 2012-07-03 B. J. Wundt , U. D. Jentschura

$\phi$-meson--nucleus bound state energies and absorption widths are calculated for seven selected nuclei by solving the Klein-Gordon equation with complex optical potentials. Essential input for the calculations, namely the medium-modified…

Nuclear Theory · Physics 2017-09-06 J. J. Cobos-Martínez , K. Tsushima , G. Krein , A. W. Thomas

The neutron-proton effective mass splitting ($\Delta m^*_{np}$) is investigated through analyses of heavy-ion collisions using the improved quantum molecular dynamics (ImQMD) model with both standard and extended Skyrme interactions. By…

Nuclear Theory · Physics 2025-06-24 Junping Yang , Meiqi Sun , Ying Cui , Yangyang Liu , Zhuxia Li , Kai Zhao , Yingxun Zhang

We solve the Schr\"odinger equation with a position-dependent mass (PDM) charged particle interacted via the superposition of the Morse and Coulomb potentials and exposed to external magnetic and Aharonov-Bohm (AB) flux fields. The…

Quantum Physics · Physics 2017-05-10 Mahdi Eshghi , Hussein Mehraban , Sameer M. Ikhdair

Jet suppression in high-energy heavy-ion collisions results from jet energy loss and transverse-momentum broadening during jet propagation through the quark-gluon plasma (QGP). The jet cone size ($R$) dependence of this suppression offers…

High Energy Physics - Phenomenology · Physics 2026-04-15 Qing-Fei Han , Man Xie , Han-Zhong Zhang

It is shown that the energy levels of the one-dimensional nonlinear Schrodinger, or Gross-Pitaevskii, equation with the homogeneous trap potential $x^{2p}$, $p\geq 1$, obey an approximate scaling law and as a consequence the energy…

Quantum Physics · Physics 2009-11-06 R. Hasson , D. Richards

A measurement of the analyzing powers for the $^2$H$(\vec{p},pp)n$ break-up reaction was carried out at KVI exploiting a polarized-proton beam at an energy of 135 MeV. The scattering angles and energies of the final-state protons were…

We obtain lower bounds on the ground state energy, in one and three dimensions, for the spinless Salpeter equation (Schr\"odinger equation with a relativistic kinetic energy operator) applicable to potentials for which the attractive parts…

Mathematical Physics · Physics 2015-06-26 Fabian Brau

We calculate differential cross sections for proton-nucleus elastic scattering by using a Glauber theory in the optical limit approximation and nucleon distributions that can be obtained in the framework of macroscopic nuclear models in a…

Nuclear Theory · Physics 2015-06-26 Kei Iida , Kazuhiro Oyamatsu , Badawy Abu-Ibrahim

Formulas for the combined nuclear-recoil and finite-nuclear-size effects of order $(Z\,\alpha)^5$ and $(Z\,\alpha)^6$ are derived without any expansion in the nuclear charge radius $r_C$, making them applicable to both electronic and muonic…

Atomic Physics · Physics 2025-03-31 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

The ground state hyperfine splitting values of high Z hydrogenlike ions are calculated. The relativistic, nuclear and QED corrections are taken into account. The nuclear magnetization distribution correction (the Bohr-Weisskopf effect) is…

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

In the framework of the quasipotential method the covariant expression for the two-particle vertex operator is obtained. The nuclear structure corrections of orders (Z\alpha)^4, (Z\alpha)^5 including recoil effects to gyromagnetic factors…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. P. Martynenko

In the one-photon exchange approximation we discuss questions related to the interpretation of unexpected results of the JLab polarization experiments to measure the Sachs form factors ratio $G_E/G_M$ in the region $1. 0 \leq Q^2 \leq 8.5$…

High Energy Physics - Phenomenology · Physics 2014-03-20 M. V. Galynskii , E. A. Kuraev

We re-examine the justification for the imposition of regular boundary conditions on the wavefunction at the Coulomb singularity in the treatment of the hydrogen atom in non-relativistic quantum mechanics. We show that the issue of the…

High Energy Physics - Theory · Physics 2007-05-23 C. J. Fewster

We calculate the bound-electron $g$ factor for a wide range of rovibrational states of the molecular hydrogen ions H$_2^+$ and HD$^+$. Relativistic and QED corrections of orders up to $\alpha^5$ are taken into account. All contributions are…

Atomic Physics · Physics 2025-08-07 Ossama Kullie , Hugo D. Nogueira , Jean-Philippe Karr

The well-known Bragg-Kleeman rule RCSDA = A dot E0p has become a pioneer work in radiation physics of charged particles and is still a useful tool to estimate the range RCSDA of approximately monoenergetic protons with initial energy E0 in…

Medical Physics · Physics 2011-01-25 Waldemar Ulmer , Evangelos Matsinos

A new type of parametrization for parton distribution functions in a proton, based on their $Q^2$-evolution at large and small $x$ values, is constructed. In our analysis, the valence and nonsinglet parts obey the Gross-Llewellyn-Smith and…

High Energy Physics - Phenomenology · Physics 2022-11-01 N. A. Abdulov , A. V. Kotikov , A. V. Lipatov

We review the parton model and the Regge approach to the QCD description of the deep-inelastic $ep$ scattering at the small Bjorken variable $x$ and demonstrate their relation with the DGLAP and BFKL evolution equations. It is shown, that…

High Energy Physics - Phenomenology · Physics 2014-11-17 L. N. Lipatov

We present an improved calculation of higher-order corrections to the one-loop self energy of 2P states in hydrogen-like systems with small nuclear charge Z. The method is based on a division of the integration with respect to the photon…

Atomic Physics · Physics 2009-11-06 U. D. Jentschura , K. Pachucki

On the basis of quasipotential method in quantum electrodynamics we calculate nuclear finite size radiative corrections of order $\alpha(Z\alpha)^5$ to the hyperfine structure of S-wave energy levels in muonic hydrogen and muonic deuterium.…

High Energy Physics - Phenomenology · Physics 2015-06-18 R. N. Faustov , A. P. Martynenko , G. A. Martynenko , V. V. Sorokin