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We argue that the proton's charge-radius contributes differently to shifts of Hydrogen-like energy levels than naively expected due to an incorrect choice for the boundary condition at the proton's position in standard calculations. In…

High Energy Physics - Phenomenology · Physics 2017-09-01 C. P. Burgess , Peter Hayman , Markus Rummel , Laszlo Zalavari

We studied theoretically a coherent population trapping resonance formation in cylindrical cell without buffer gas irradiated by a narrow laser beam. We take into account non-zero probabilities of elastic ("specular") and inelastic…

We analyze a system of two colliding ultracold atoms under strong harmonic confinement from the viewpoint of quantum defect theory and formulate a generalized self-consistent method for determining the allowed energies. We also present two…

Atomic Physics · Physics 2013-05-29 Gillian Peach , Ian B Whittingham , Timothy J Beams

Resonance plays critical roles in the formation of many physical phenomena, and many techniques have been developed for the exploration of resonance. In a recent letter [Phys. Rev. Lett. 117, 062502 (2016)], we proposed a new method for…

Nuclear Theory · Physics 2017-02-15 Zhi Fang , Min Shi , Jian-You Guo , Zhong-Ming Niu , Haozhao Liang , Shi-Sheng Zhang

We investigate the existence of bound states and resonances in the ${\phi NN, J/\psi NN, \eta_c NN}$ systems using HAL QCD interactions for ${\phi N, J/\psi N}$, and ${\eta_c N}$. We employ the Gaussian expansion method to solve the…

High Energy Physics - Phenomenology · Physics 2025-07-04 Liang-Zhen Wen , Yao Ma , Lu Meng , Shi-Lin Zhu

We consider the transitions between electromagnetic bound states, such as the exclusive weak decay of a muonic atom into an electronic atom: $(\mu^- Z) \to (e^- Z) {\bar \nu_e }\nu_\mu . $ We show that relativistic effects in the atomic…

High Energy Physics - Phenomenology · Physics 2009-09-25 C. Greub , D. Wyler , S. Brodsky , C. Munger

When monatomic contacts are stretched, their conductance behaves in qualitatively different ways depending on their constituent atomic elements. Under a single assumption of resonance formation, we show that various conductance behavior can…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 H. -W. Lee , H. -S. Sim , D. -H. Kim , K. J. Chang

For certain compactly supported metric and/or potential perturbations of the Laplacian on $\mathbb{H}^{n+1}$, we establish an upper bound on the resonance counting function with an explicit constant that depends only on the dimension, the…

Spectral Theory · Mathematics 2009-11-12 David Borthwick

In relativistic nucleus-nucleus collisions the transverse energy per charged particle, E_T/N_ch, increases rapidly with beam energy and remains approximately constant at about 800 MeV for beam energies from SPS to RHIC. It is shown that the…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Cleymans , R. Sahoo , D. P. Mahapatra , D. K. Srivastava , S. Wheaton

Spectral weight functions are easily obtained from two-point correlation functions and they might be used to distinguish single-particle from multi-particle states in a finite-volume lattice calculation, a problem crucial for many lattice…

High Energy Physics - Lattice · Physics 2014-11-21 Zhi-Yuan Niu , De-Chuan Du , Bao-Zhong Guo , Ning Li , Chuan Liu , Hang Liu

Charmonium-like resonances and bound states with isospin zero and $J^{PC}=0^{++},~1^{--},~2^{++},~3^{--}$ are extracted on the lattice. Coupled $D\bar D$ and $D_s\bar D_s$ scattering suggests three charmonium-like states with…

High Energy Physics - Lattice · Physics 2021-11-18 S. Prelovsek , S. Collins , D. Mohler , M. Padmanath , S. Piemonte

Calculations of the two-loop electron self-energy for the $n = 1$ and $n = 2$ states of hydrogen-like ions are reported, performed to all orders in the nuclear binding strength parameter $Z\alpha$ (where $Z$ is the nuclear charge number and…

Atomic Physics · Physics 2025-09-12 V. A. Yerokhin , Z. Harman , C. H. Keitel

The variational perturbation theory for wave functions, which has been shown to work well for bound states of the anharmonic oscillator, is applied to resonance states of the anharmonic oscillator with negative coupling constant. We obtain…

High Energy Physics - Theory · Physics 2009-10-30 T. Tanaka

We critically examine the current status of theoretical calculations of the energies, the fine structure, and the isotope shift of the lowest-lying states of helium, searching for unresolved discrepancies with experiments. Calculations are…

Atomic Physics · Physics 2017-06-28 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir Yerokhin

A hypothetical violation of Lorentz invariance in the electrons' equation of motion (expressed within the Lorentz-violating extension of the standard model) leads to a change of the geometry of crystals and thus shifts the resonance…

High Energy Physics - Phenomenology · Physics 2008-11-26 Holger Mueller , Sven Herrmann , Alejandro Saenz , Achim Peters , Claus Laemmerzahl

The interaction energy between two atoms is crucially dependent on the quantum state of the two-atom system. In this paper, it is demonstrated that a steady resonance interaction energy between two atoms exists when the atoms are in a…

Quantum Physics · Physics 2023-07-28 Jiawei Hu , Hongwei Yu

We study the possibility of existence of bound states for two interacting He-4 atoms. It is shown that for some potentials, there exist not only discrete levels but also bands akin to those in the Kronig--Penney model.

Soft Condensed Matter · Physics 2007-05-23 Stefan V. Mashkevich , Stanislav I. Vilchynskyy

The experimental and theoretical implications of heavy digauge boson resonances that couple to, or are comprised of, new charged and strongly interacting matter are investigated. Observation and measurement of ratios of the resonant digauge…

High Energy Physics - Phenomenology · Physics 2016-06-28 Nathaniel Craig , Patrick Draper , Can Kilic , Scott Thomas

The ground-state energies of one-electron homonuclear quasi-molecules for the nuclear charge number in the range Z=1-100 at the "chemical" distances R= 2/Z (in a.u.) are calculated. The calculations are performed for both point- and…

Atomic Physics · Physics 2015-03-11 D. V. Mironova , I. I. Tupitsyn , V. M. Shabaev , G. Plunien