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A new derivation is given for the representation, under certain conditions, of the integral dispersion relations of scattering theory through local forms. The resulting expressions have been obtained through an independent procedure to…

Mathematical Physics · Physics 2014-03-25 Erasmo Ferreira , Javier Sesma

In the frame of the algebraic Riemann Rotational Model one computes the longitudinal, transverse and toroidal multipoles corresponding to the excitations of low-lying levels in the ground state band of several even-even nuclei by inelastic…

Nuclear Theory · Physics 2009-10-28 S. Misicu

The unique isomeric transition at 7.8 eV in $~^{229}\mathrm{Th}$ has a magnetic dipole ($M1$) and an electric quadrupole ($E2$) multipole mixing. So far, the $E2$ component has been widely disregarded. Here, we investigate the nuclear…

Nuclear Theory · Physics 2018-05-02 Pavlo V. Bilous , Nikolay Minkov , Adriana Pálffy

The astrophysically important electric quadrupole (E2) and magnetic dipole (M1) transitions for the low-lying states of triply ionized titanium (Ti IV) are calculated very accurately using a state-of-art all-order many-body theory called…

Atomic Physics · Physics 2007-08-22 Subhasish Mandal , Gopal Dixit , B. K. Sahoo , R. K. Chaudhuri , Sonjoy Majumder

In hot plasmas, a temperature of a few tens of eV is sufficient for producing highly stripped ions where multipole transitions become important. At low density, the transitions from tightly bound inner shells lead to electric-quadrupole…

Atomic Physics · Physics 2015-06-05 Jean-Christophe Pain , Franck Gilleron , Jacques Bauche , Claire Bauche-Arnoult

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

Spectrum and electric dipole transition rates and relative intensities in $^{152-154}$Sm, $^{156-160}$Gd, $^{160-162}$Dy are studied in the framework of the interacting boson model with s,p,d,f bosons. It is found that E1 transition data…

Nuclear Theory · Physics 2009-10-31 Hua Ying Ji , Gui Lu Long , En Guang Zhao , Shu Wei Xu

A relativistic many-body method is developed to calculate energy and transition rates for multipole transitions in many-electron ions. This method is based on relativistic many-body perturbation theory (RMBPT), agrees with MCDF calculations…

Atomic Physics · Physics 2009-11-11 U. I. Safronova , A. S. Safronova , P. Beiersdorfer

In this paper, we have studied the energy spectra and B(E2) transition probabilities of 124-130Ba isotopes in the shape phase transition region between the spherical and gamma unstable deformed shapes. We have used a transitional…

Nuclear Theory · Physics 2016-11-23 H. Sabri , M. Seidi

A light front formalism for deep inelastic lepton scattering from finite nuclei is developed. In particular, the nucleon plus momentum distribution and a finite system analog of the Hugenholtz-van Hove theorem are presented. Using a…

Nuclear Theory · Physics 2008-11-26 J. R. Smith , G. A. Miller

Quadrupole collectivity of the lowest-lying states, focusing on $E_x(2^+_1)$ and $B(E2;0^+_1\to 2^+_1)$, have been investigated for the $N=50-82$ Sn nuclei by applying the self-consistent approaches with the semi-realistic interaction…

Nuclear Theory · Physics 2023-10-16 Y. Omura , H. Nakada , K. Abe , M. Takahashi

The quantum electrodynamical theory of the two-photon transitions in hydrogenlike ions is presented. The emission probability for 2s1/2 -> 2E1+1s1/2 transitions is calculated and compared to the results of the previous calculations. The…

Atomic Physics · Physics 2009-11-10 L. N. Labzowsky , A. V. Shonin , D. A. Solovyev

This paper presents the calculation of the electric transition dipole moment in a pre-Born-Oppenheimer framework. Electrons and nuclei are treated equally in terms of the parametrization of the non-relativistic total wave function, which is…

Chemical Physics · Physics 2014-10-17 Benjamin Simmen , Edit Matyus , Markus Reiher

The dependence of the $E2$ matrix elements on isospin projection $T_z$ is linked to the conservation of the isospin symmetry. To study this conjecture, we calculated the ${B(E2: 2^+ \rightarrow 0^+)}$ rates for the even-even $T=1$ mirror…

A systematic study of energy spectra throughout the rare-earth region (even-even nuclei from $_{58}$Ce to $_{74}$W) is carried out in the framework of the interacting boson model (IBM), leading to an accurate description of the…

Nuclear Theory · Physics 2012-04-06 S. Zerguine , P. Van Isacker , A. Bouldjedri

Nuclei located in the neutron-deficient Pb region have a complex structure, rapidly evolving as a function of neutron and proton numbers. The most famous example is $^{186}$Pb where the three lowest levels are $0^+$ states, the two excited…

Nuclear Theory · Physics 2015-03-13 J. M. Yao , M. Bender , P. -H. Heenen

The first direct experimental observation of an electric quadrupole ($\textit{E}$2) transition between bound states of an atomic negative ion has been made. The transition was observed in the negative ion of bismuth by resonant (1+1)…

Atomic Physics · Physics 2021-03-03 C. W. Walter , S. E. Spielman , R. Ponce , N. D. Gibson , J. N. Yukich , C. Cheung , M. S. Safronova

The method of intermediate-energy Coulomb excitation has been widely used to determine absolute B(E2; 0+ -> 2+) quadrupole excitation strengths in exotic nuclei with even numbers of protons and neutrons. Transition rates measured with…

Nuclear Experiment · Physics 2007-05-23 J. M. Cook , T. Glasmacher , A. Gade

Converged results for E2 observables are notoriously challenging to obtain in ab initio no-core configuration interaction (NCCI) approaches. Matrix elements of the E2 operator are sensitive to the large-distance tails of the nuclear wave…

Nuclear Theory · Physics 2025-11-04 Mark A. Caprio , Pieter Maris , Patrick J. Fasano

E2 properties of A=6--10 nuclei, including those of nuclei far from stability, are studied by a $(0+2)\hbar\omega$ shell-model calculation which includes E2 core-polarization effects explicitly. The quadrupole moments and the E2 transition…

Nuclear Theory · Physics 2009-10-22 Hitoshi Nakada , Takaharu Otsuka