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Nuclear-size corrections of order $(Z \alpha)^5$ and $(Z \alpha)^6$ to the S-state levels of hydrogenic atoms are considered. These nuclear-elastic contributions are somewhat smaller than the polarizability (nuclear-inelastic) corrections…

Nuclear Theory · Physics 2008-11-26 J. L. Friar , G. L. Payne

Precise calculations of the isotope shifts in berylliumlike thorium and uranium ions are presented. The main contributions to the field and mass shifts are calculated within the framework of the Dirac-Coulomb-Breit Hamiltonian employing the…

Isotope-dependence of measured reaction cross sections in scattering of $^{28-32}$Ne isotopes from $^{12}$C target at 240 MeV/nucleon is analyzed by the double-folding model with the Melbourne $g$-matrix. The density of projectile is…

The direct radiative capture process is well described by the spherical potential model. In order for the model to explain direct captures more accurately, the effect of the nuclear deformation has been added and analyzed in this work,…

Nuclear Theory · Physics 2015-06-15 G. W. Fan , X. L. Cai , M. Fukuda , Zhongzhou Ren , W. Xu

We perform a complete calculation of $\alpha\,(Z\,\alpha)^5\,m$ radiative corrections to the finite nuclear size, the recoil finite size and the nuclear polarizability effects in atomic systems. Results confirm very good agreement for the…

Atomic Physics · Physics 2025-07-22 Krzysztof Pachucki

The nuclear recoil effect, known also as the mass shift, is one of theoretical contributions to the energy levels in muonic atoms. Accurate theoretical predictions are therefore needed for extracting e.g. the nuclear charge radii from…

Atomic Physics · Physics 2023-12-08 Vladimir A. Yerokhin , Natalia S. Oreshkina

Competitive effects of nuclear deformation and density dependence of $\Lambda\!N$-interaction in $\Lambda$ binding energies $B_\Lambda$ of hypernuclei are studied systematically on the basis of the baryon-baryon interaction model ESC…

Nuclear Theory · Physics 2016-09-21 M. Isaka , Y. Yamamoto , T h. A. Rijken

Accurate results for nonrelativistic energy, relativistic, QED, and finite nuclear mass corrections are obtained for $2^1S_{1/2}$, $3^1S_{1/2}$ and $2^1P_{1/2}$ states of the Li atom and Be$^+$ ion. Our computational approach uses the…

Atomic Physics · Physics 2009-11-13 Mariusz Puchalski , Krzysztof Pachucki

By performing an analysis in moment space using high statistics DIS world data, we extract the values of both the QCD parameter $\Lambda^{(4)}_{\bar{MS}}$ up to NLO and of the power corrections to the proton structure function, $F_2$. At…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Liuti

We search for effects of tetrahedral deformation $\beta_{32}$ over a range of $\sim 3000$ heavy and superheavy nuclei, $82\leq Z \leq 126$, using a microscopic-macroscopic model based on the deformed Woods-Saxon potential, well tested in…

Nuclear Theory · Physics 2017-04-05 P. Jachimowicz , M. Kowal , J. Skalski

We investigate the nuclear effects on the transverse and longitudinal responses in the deep inelastic region due to the nuclear binding and nucleon Fermi motion. We display the role of the transverse-longitudinal admixture due to the…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Ericson , S. Kumano

For direct dark matter detections, to extract useful information about the fundamental interaction from data, it is crucial to properly determine the nuclear form factor. The form factor for spin-independent cross section of collisions…

High Energy Physics - Phenomenology · Physics 2015-06-03 Ya-Zheng Chen , Jun-Mou Chen , Yan-An Luo , Hong Shen , Xue-Qian Li

Neutron shell-structure and the resulting possible deformation in the neighborhood of neutron-drip-line nuclei are systematically discussed, based on both bound and resonant neutron one-particle energies obtained from spherical and deformed…

Nuclear Theory · Physics 2012-07-11 Ikuko Hamamoto

Nucleon-nucleon systems are studied with lattice quantum chromodynamics at a pion mass of $m_\pi\sim 450~{\rm MeV}$ in three spatial volumes using $n_f=2+1$ flavors of light quarks. At the quark masses employed in this work, the deuteron…

High Energy Physics - Lattice · Physics 2020-07-31 Kostas Orginos , Assumpta Parreno , Martin J. Savage , Silas R. Beane , Emmanuel Chang , William Detmold

The structural evolution of the heavy nuclei, with Z > 82, is investigated by looking at the differential variation of the two-neutron separation energies. It indicates, by non-monotonous behavior at certain neutron numbers, structure…

Nuclear Experiment · Physics 2015-06-17 D. Bucurescu , N. V. Zamfir

Theory of the isotope shift of the centroid energies of light few-electron atoms is reviewed. Numerical results are presented for the isotope shift of the $2^3P$-$2^3S$ and $2^1S$-$2^3S$ transition energies of $^3$He and $^4$He. By…

Atomic Physics · Physics 2015-09-28 Vladimir A. Yerokhin , Krzysztof Pachucki

We study fusion reactions of $^{16}$O with $^{154}$Sm, $^{186}$W and $^{238}$U at sub-barrier energies by a coupled-channels framework. We focus especially on the effects of $\beta_{6}$ deformation and low-lying vibrational excitations of…

Nuclear Theory · Physics 2009-10-31 Tamanna Rumin , Kouichi Hagino , Noboru Takigawa

In this work the excited energy levels, reduced transition probabilities, $B(E2)\uparrow$, intrinsic quadrupole moments and deformation parameters have been calculated for $^{62-68}$Zn isotopes with neutrons (N=32,34,36 and 38 ). Nushellx…

Nuclear Theory · Physics 2020-07-03 Fatema. H. Obeed , Ali. K. Hasan

In this paper, we present a theoretical study of a conjonction of $\gamma$-rigid and $\gamma$-stable collective motions in critical point symmetries of the phase transitions from spherical to deformed shapes of nuclei using exactly…

Nuclear Theory · Physics 2016-12-21 M. Chabab , A. El Batoul , A. Lahbas , M. Oulne

The two neutrino double beta decay of $^{124,126}$Xe,$^{128,130}$Te, $ ^{130,132}$Ba and $^{150}$Nd isotopes is studied in the Projected Hartree-Fock-Bogoliubov (PHFB) model. Theoretical 2$\nu $ $\beta^{-}\beta ^{-}$ half-lives of…

Nuclear Theory · Physics 2008-11-26 S. Singh , R. Chandra , P. K. Rath , P. K. Raina , J. G. Hirsch