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We present ab initio calculations of one-electron quantum electrodynamical corrections to the second-order Zeeman splitting for the $1s_{1/2}$, $2s_{1/2}$, and $2p_{1/2}$ states in highly charged hydrogen-like ions. The self-energy…

We study nucleon-nucleon scattering on the lattice at next-to-leading order in chiral effective field theory. We determine phase shifts and mixing angles from the properties of two-nucleon standing waves induced by a hard spherical wall in…

Nuclear Theory · Physics 2008-11-26 Bugra Borasoy , Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner

The first lattice QCD result on the nuclear force (the NN potential) is presented in the quenched level. The standard Wilson gauge action and the standard Wilson quark action are employed on the lattice of the size 16^3\times 24 with the…

High Energy Physics - Lattice · Physics 2008-11-26 Noriyoshi ISHII , Sinya AOKI , Tetsuo HATSUDA

We investigate the behavior of the critical charge for spontaneous pair production, $Z_C$, defined as the charge at which the total energy of a $K$-shell electron is $E=-m_e$, as a function of the radius $R$ of the charge distribution. Our…

High Energy Physics - Phenomenology · Physics 2008-11-26 Duane A. Dicus , Wayne W. Repko , V. L. Teplitz

We address a problem of the upper critical field in a lattice described by a two-dimensional tight-binding model with the on-site pairing. We develop a finite-system-approach which enables investigation of magnetic and superconducting…

Superconductivity · Physics 2009-10-31 Marcin Mierzejewski , Maciej M. Maska

We calculate electric and magnetic form factors of protons and neutrons in quenched Monte Carlo lattice QCD on a $16^3\times 24$ lattice at $\beta = 6.0$ using Wilson fermions. We employ a method which characterizes one of the nucleon…

High Energy Physics - Lattice · Physics 2008-11-26 Walter Wilcox , Terrence Draper , Keh-Fei Liu

We describe a calculation using quenched lattice QCD of the connected part of the neutron electric form factor for momentum transfers in the range $0.3 {\rm GeV^2} \stackrel{<}{\sim} -q^2 \stackrel{<}{\sim} 1.0 {\rm GeV^2}$. We extract the…

High Energy Physics - Lattice · Physics 2009-11-10 Alfred Tang , Walter Wilcox , Randy Lewis

In this paper, we continue the study in \cite{MiaoWZ:NLS:3d Combined} to show the scattering and blow-up result of the solution for the nonlinear Schr\"{o}dinger equation with the energy below the threshold $m$ in the energy space…

Analysis of PDEs · Mathematics 2016-02-18 Changxing Miao , Guixiang Xu , Lifeng Zhao

A lattice quantum chromodynamics (LQCD) calculation of the nuclear matrix element relevant to the $nn\to ppee\overline{\nu}_e\overline{\nu}_e$ transition is described in detail, expanding on the results presented in Ref. [1]. This matrix…

Relativistic dipolar to hexadecapolar polarizabilities of the ground state and some excited states of hydrogenic atoms are calculated by using numerically exact energies and wave functions obtained from the Dirac equation with the…

Atomic Physics · Physics 2016-04-27 Livio Filippin , Michel Godefroid , Daniel Baye

We calculate the 1-loop $\gamma Z$ box-graph correction to electron-quark scattering at low energy and low momentum transfer. Both electron and quark masses are kept non-zero. From our result, we extract coupling constants for the…

High Energy Physics - Phenomenology · Physics 2026-01-21 Balma Duch , Pere Masjuan , Hubert Spiesberger

We present lattice results for the ground state energies of tritium, helium-3, helium-4, lithium-6, and carbon-12 nuclei. Our analysis includes isospin-breaking, Coulomb effects, and interactions up to next-to-next-to-leading order in…

Nuclear Theory · Physics 2010-04-14 Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner

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…

Atomic Physics · Physics 2009-11-11 A. N. Artemyev , V. M. Shabaev , V. A. Yerokhin , G. Plunien , G. Soff

We carry out a feasibility study toward a lattice QCD calculation of the neutron electric dipole moment (NEDM) in the presence of the $\theta$ term using two different approaches. In the first method, we calculate the CP-odd electromagnetic…

High Energy Physics - Lattice · Physics 2009-04-25 Eigo Shintani , S. Aoki , N. Ishizuka , K. Kanaya , Y. Kikukawa , Y. Kuramashi , M. Okawa , A. Ukawa , T. Yoshié

Isotopic and isotonic chains of superheavy nuclei are analyzed to search for spherical double shell closures beyond Z=82 and N=126 within the new effective field theory model of Furnstahl, Serot, and Tang for the relativistic nuclear…

Nuclear Theory · Physics 2010-12-23 Tapas Sil , S. K. Patra , B. K. Sharma , M. Centelles , X. Vinas

Charge centers in ionic crystals provide a channel for elementary interaction between electromagnetic radiation and the lattice. We calculate the electronic ground state energies which are needed to create a charge center -- namely a $F$-…

Materials Science · Physics 2009-11-11 M. Letz , L. Parthier

The nuclear charge radius of $^{32}$Si was determined using collinear laser spectroscopy. The experimental result was confronted with ab initio nuclear lattice effective field theory, valence-space in-medium similarity renormalization…

In this exploratory study, near-threshold scattering of $D$ and $\bar{D}^*$ meson is investigated using lattice QCD with $N_f=2+1+1$ twisted mass fermion configurations. The calculation is performed within the coupled-channel L\"uscher's…

High Energy Physics - Lattice · Physics 2020-01-08 Ting Chen , Ying Chen , Ming Gong , Chuan Liu , Liuming Liu , Yu-Bin Liu , Zhaofeng Liu , Jian-Ping Ma , Markus Werner , Jian-Bo Zhang

We compute ground-state and dynamical properties of $^4$He and $^{16}$O nuclei using as input high-resolution, phenomenological nucleon-nucleon and three-nucleon forces that are local in coordinate space. The nuclear Schr\"odinger equation…

Nuclear Theory · Physics 2024-05-27 Alex Gnech , Alessandro Lovato , Noemi Rocco

We study static-field ionization of He-like ions with nuclear charge number in the range of $2\le Z \le 36$. Both the tunneling and over-the-barrier regimes are considered. We calculate the ionization rates by three approximate methods: a…

Atomic Physics · Physics 2022-01-12 Erik Lötstedt , Marcelo. F. Ciappina , Kaoru Yamanouchi
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