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We investigate the hyperfine splitting of the heavy baryons in the bound-state approach. We start with an ordinary relativistic Lagrangian which has been extensively used to discuss finite mass corrections to the heavy limit predictions. It…

High Energy Physics - Phenomenology · Physics 2009-10-28 Masayasu Harada , Asif Qamar , Francesco Sannino , Joseph Schechter , Herbert Weigel

Polaron binding energy and effective mass are calculated for semiconductors with wurtzite crystalline structure from the first order electron-phonon corrections to the self-energy. A recently introduced Frohlich-like electron-phonon…

Materials Science · Physics 2019-08-17 M. E. Mora-Ramos , F. J. Rodriguez , L. Quiroga

We establish irrational constants, that contribute to the positronium lifetime at $O(\alpha)$ and $O(\alpha^2)$ order. In particular we show, that a new type of constants appear, which are not related to Euler--Zagier sums or multiple…

High Energy Physics - Phenomenology · Physics 2009-11-13 B. A. Kniehl , A. V. Kotikov , O. L. Veretin

We present a calculation of the hyperfine splittings in bottomonium using lattice Nonrelativistic QCD. The calculation includes spin-dependent relativistic corrections through O(v^6), radiative corrections to the leading spin-magnetic…

High Energy Physics - Lattice · Physics 2015-08-05 R. J. Dowdall , C. T. H. Davies , T. Hammant , R. R. Horgan , C. Hughes

The hyperfine structure of atoms and ions is widely used in fundamental and applied research. Accurate knowledge of hyperfine splitting values is essential for quantum metrology applications as well as for improving the performance of…

Atomic Physics · Physics 2024-07-01 Denis Mishin , Dmitry Tregubov , Nikolay Kolachevsky , Artem Golovizin

The present review includes the description of theoretical methods for the investigations of the spectra of hydrogen-like systems. Various versions of the quasipotential approach and the method of the effective Dirac equation are…

High Energy Physics - Phenomenology · Physics 2011-07-19 Valeri V. Dvoeglazov , Rudolf N. Faustov , Yuri N. Tyukhtyaev

A high-precision numerical calculation is reported for the self-energy correction to the hyperfine splitting and to the bound-electron g factor in hydrogenlike ions with low nuclear charge numbers. The binding nuclear Coulomb field is…

Atomic Physics · Physics 2009-11-13 V. A. Yerokhin , U. D. Jentschura

This paper discusses the first observation of stimulated magnetic resonance transitions between the hyperfine levels of trapped ground state atomic antihydrogen, confirming its presence in the ALPHA apparatus. Our observations show that…

High Energy Physics - Experiment · Physics 2019-09-04 Arthur Olin

The low-lying n(=3,4,5)d $^2D_{5/2}$ states alkaline earth ions are of vital importance in a number of different physical applications. The hyperfine structure constants of these states are characterized by unusually strong electron…

Atomic Physics · Physics 2015-06-26 B. K. Sahoo , C. Sur , T. Beier , B. P. Das , R. K. Chaudhuri , D. Mukherjee

Recently a few authors pointed out that the positroniums give rise to an extra contribution to the electron $g-2$ with the magnitude comparable to the $O(\alpha^5)$ perturbative effect, which is not taken into account in the perturbative…

High Energy Physics - Phenomenology · Physics 2014-03-05 Masashi Hayakawa

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium generated by diagrams with one-loop radiative photon insertions both in the electron and muon lines. An analytic result for these nonlogarithmic…

High Energy Physics - Phenomenology · Physics 2009-11-10 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

Radiative corrections to the 2E1 decay width of the 2s-state in the low-Z hydrogen-like system are examined within logarithmic approximation. The correction is found to be 2.025(1) alpha (Z alpha)^2 / pi log(Z alpha)^2 in units of the…

Atomic Physics · Physics 2008-02-03 Savely G. Karshenboim , Vladimir G. Ivanov

We present the O(alpha) and O(alpha^3 ln(alpha)) corrections to the total decay width of orthopositronium in closed analytic form, in terms of basic transcendental numbers, which can be evaluated numerically to arbitrary precision.

High Energy Physics - Phenomenology · Physics 2008-12-18 Bernd A. Kniehl , Anatoly V. Kotikov , Oleg L. Veretin

New results are presented for Ps(1s) scattering by H(1s), He(1$^1$S) and Li(2s). Calculations have been performed in a coupled state framework, usually employing pseudostates, and allowing for excitation of both the Ps and the atom. In the…

Atomic Physics · Physics 2015-06-26 H R J Walters , A C H Yu , S Sahoo , Sharon Gilmore

In the framework of the quasipotential method we calculate the contributions of the kind \alpha^6\ln\alpha, alpha^6 of three-photon exchange diagrams to the energy spectrum of muonium $n^3S_1$ state in the leading order on $m_e/m_\mu$.…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. N. Faustov , A. P. Martynenko

We have investigated energies, magnetic dipole hyperfine structure constants ($A_{hyf}$) and electric dipole (E1) matrix elements of a number of low-lying states of the triply ionized tin (Sn$^{3+}$) by employing relativistic…

Atomic Physics · Physics 2020-04-22 Mandeep Kaur , Rishabh Nakra , Bindiya Arora , Cheng-Bin Li , B. K. Sahoo

We have calculated the splitting functions governing the evolution of the unpolarized parton distributions of the photon at the next-to-next-to-leading order (NNLO) of massless perturbative QCD. The results, presented here mainly in terms…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Vogt , S. Moch , J. Vermaseren

We have completed the calculation of pure-recoil corrections of order $(Z \alpha)^6$ to Coulombic bound states of two spin-1/2 fermions without approximation in the particle masses. Our result applies to systems of arbitrary mass ratio such…

High Energy Physics - Phenomenology · Physics 2023-01-25 Gregory S. Adkins , Jonathan Gomprecht , Yanxi Li , Evan Shinn

The hyperfine splitting in heavy quarkonia is considered in its relation to the leptonic decay rates with the account of relativistic and radiative corrections. The calculated decay rates agree well with the available experimental data,…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. Ebert , R. N. Faustov , V. O. Galkin

I present a full leading-order calculation of F_2(x,Q^2) and F_L(x,Q^2), including contributions not only from leading order in \alpha_s, but also from the leading power of \alpha_s for each order in ln(1/x). The calculation is ordered…

High Energy Physics - Phenomenology · Physics 2009-10-30 Robert S. Thorne
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