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In this paper, we reexamine one of the most promising candidates for determining the neutrino mass scale -- the unique first forbidden $\beta$ transition from $^{187}$Re($5/2^+$) to $^{187}$Os($1/2^-$). With the lowest-known ground-state to…

Nuclear Theory · Physics 2024-07-17 O. Niţescu , R. Dvornický , F. Šimkovic

A specific combination of $s$-state Lamb shift $\Delta E_L(1s_{1/2}) - n^3 \Delta E_L(ns_{1/2})$ is considered. Its value is calculated both in the hydrogen and deuterium atoms for $n$ up to 12. The result inludes all correction which can…

High Energy Physics - Phenomenology · Physics 2009-10-28 Savely G. Karshenboim

We derive a new relation between the observed Lamb shift energies of hydrogen and muonium atoms. The relation is based on the non-relativistic description of the Lamb shift, and the proper treatment of the reduced mass of electron and…

The mass defect formula reflects the equivalence of mass and energy for bound nuclear systems. We study three-nucleon systems $^3$H and $^3$He, considering the neutron and proton as indistinguishable particles ($AAA$ model) or taking into…

Nuclear Theory · Physics 2024-02-26 I. Filikhin , V. M. Suslov , B. Vlahovic

We calculate the contribution from the two-photon exchange on the neutron to the hyperfine splitting of S energy levels. We update the value of the neutron Zemach radius, estimate total recoil and polarizability corrections. The resulting…

Nuclear Theory · Physics 2019-04-03 Oleksandr Tomalak

We study two-photon contribution to the elastic lepton-proton scattering, associated with sigma meson exchange, with special attention paid to the low-Q2 region. We show that the corresponding amplitude grows sharply but remains finite at…

High Energy Physics - Phenomenology · Physics 2017-11-08 Dmitry Borisyuk

Precision spectroscopy of hyperfine splitting (HFS) is a crucial tool for investigating the structure of nuclei and testing quantum electrodynamics (QED). However, accurate theoretical predictions are hindered by two-photon exchange (TPE)…

Nuclear Theory · Physics 2023-11-23 Chen Ji , Xiang Zhang , Lucas Platter

The deuteron to proton polarization transfer coefficients for the $d$--$p$ elastic scattering were precisely measured with an incoming deuteron energy of 135 MeV/u at the RIKEN Accelerator Research Facility. The data are compared to…

We study space-time noncommutativity applied to the hydrogen atom and its phenomenological effects. We find that it modifies the potential part of the Hamiltonian in such a way we get the Kratzer potential instead of the Coulomb one and…

High Energy Physics - Phenomenology · Physics 2012-05-15 M. Moumni , A. BenSlama , S. Zaim

The corrections of order (Z alpha)^6m_1/m_2 and (Z alpha)^7 from one-loop two-photon exchange diagrams to the energy spectra of the hydrogenic atoms are calculated with the help of the Taylor expansion of corresponding integrands. The…

High Energy Physics - Phenomenology · Physics 2015-06-25 R. N. Faustov , A. P. Martynenko

Faddeev calculations have been performed for nucleon-deuteron photodisintegration of 3He(3H) and proton-deuteron radiative capture. The bulk of the results is based on the AV18 nucleon-nucleon force and the Urbana IX three-nucleon force…

Nuclear Theory · Physics 2009-11-07 R. Skibinski , J. Golak , H. Kamada , H. Witala , W. Glockle , A. Nogga

We investigate the behavior of the kinetic and the exchange energy densities near the nuclear cusp of atomic systems. Considering hydrogenic orbitals, we derive analytical expressions near the nucleus, for single shells, as well as in the…

Other Condensed Matter · Physics 2016-04-01 L. A. Constantin , E. Fabiano , F. Della Sala

The evolution of nuclear shell structure is investigated for the first time within density-dependent relativistic Hartree-Fock theory and the role of $\pi$-exchange potential is studied in detail. The energy differences between the neutron…

Nuclear Theory · Physics 2008-11-26 Wen Hui Long , Hiroyuki Sagawa , Jie Meng , Nguyen Van Giai

We compute the spin-dependent and spin-independent structure functions of the forward virtual-photon Compton tensor of the proton at one loop using heavy baryon effective theory including the Delta particle. We compare with previous results…

High Energy Physics - Phenomenology · Physics 2015-06-22 Clara Peset , Antonio Pineda

The quantum mechanical motion of the atomic nuclei is considered over a single- or a multi-dimensional subspace of electronic states which is separated by a gap from the rest of the electronic spectrum over the relevant range of nuclear…

Chemical Physics · Physics 2019-07-24 Edit Matyus , Stefan Teufel

Measurements of nuclear $\beta$-decay are commonly used to extract elements of the quark-mixing Cabibbo-Kobayashi-Maskawa (CKM) matrix. The precision of these measurements is currently limited by theoretical uncertainties in electroweak…

Nuclear Experiment · Physics 2021-04-27 Tyler Kutz , Axel Schmidt

The objective of this paper is to investigate how the breaking of manifest rotational invariance in light-front dynamics affects the binding energy and the form factors of the deuteron. To do this, we derive new light-front nucleon-nucleon…

Nuclear Theory · Physics 2010-11-19 Jason R. Cooke , Gerald A. Miller

We solve three-nucleon Faddeev equations with nucleon-nucleon and three-nucleon forces derived consistently in the framework of chiral perturbation theory at next-to-next-to-next-to-leading order in the chiral expansion. In this first…

We compute O(alpha^3 ln alpha) corrections to the decay rates of para- and orthopositronium into two and three photons, respectively. For this calculation we employ the nonrelativistic QED regularized dimensionally and we explain how in…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kirill Melnikov , Alexander Yelkhovsky

We discuss results from our global QCD analyses including nuclear data off deuterium from various measurements, as well as off $^3$H and $^3$He targets from the MARATHON experiment. We simultaneously determine the parton distribution…

High Energy Physics - Phenomenology · Physics 2023-12-05 S. I. Alekhin , S. A. Kulagin , R. Petti