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Spectroscopic observables such as electromagnetic transitions strengths can be related to the properties of the intrinsic mean-field wave function when the latter are strongly deformed, but the standard rotational formulas break down when…

Nuclear Theory · Physics 2015-06-05 L. M. Robledo , G. F. Bertsch

Rotational bands of positive and negative parity are frequently found experimentally in heavy deformed even-even nuclei along with their corresponding $E2$ intra-band and $E1$ inter-band transitions. In $SU(3)$ symmetry-based models,…

Nuclear Theory · Physics 2025-08-27 Alejandro Restrepo , José P. Valencia

Background: Properties of giant dipole resonances, along with other nuclear resonances, provide valuable tools for refining theoretical models as they reflect collective features of nuclear matter. Among such collective phenomena is…

Nuclear Theory · Physics 2026-04-24 Manu Kanerva , Markus Kortelainen

Valuable theoretical predictions of nuclear dipole excitations in the whole chart are of great interest for different nuclear applications, including in particular nuclear astrophysics. Here we present large-scale calculations of the $E1$…

Nuclear Theory · Physics 2016-07-29 M. Martini , S. Péru , S. Hilaire , S. Goriely , F. Lechaftois

We describe electromagnetic and favored \alpha-transitions to rotational bands in odd-mass nuclei built upon a single particle state with angular momentum projection $\Omega=\frac{1}{2}$ in the region $88 \le Z \le 98$. We use the particle…

Nuclear Theory · Physics 2016-03-23 A. Dumitrescu , D. S. Delion

Strong octupole correlations have been observed in the low-lying states of atomic nuclei across various mass regions. In this review, we provide an overview of Beyond Mean-Field (BMF) studies of nuclear octupole collective motions with…

Nuclear Theory · Physics 2023-11-28 E. F. Zhou , J. M. Yao

Analytical formulas for the excitation energies as well as for the electric quadrupole reduced transition probabilities in the ground, beta and gamma bands were derived within the coherent state model for the near vibrational and well…

Nuclear Theory · Physics 2015-05-30 A. A. Raduta , R. Budaca , Amand Faessler

Magnetic dipole strength functions have been deduced from averages of a large number of $M1$ transition strengths calculated within the shell model for the nuclides $^{90}$Zr, $^{94}$Mo, $^{95}$Mo, and $^{96}$Mo. An enhancement of $M1$…

Nuclear Theory · Physics 2015-06-17 R. Schwengner , S. Frauendorf , A. C. Larsen

The collective structure of atomic nuclei intermediate between spherical and quadrupole deformed structure presents challenges to theoretical understanding. However, models have recently been proposed in terms of potentials which are soft…

Nuclear Experiment · Physics 2020-01-07 M. A. Caprio

An eikonal expansion is developed in order to provide systematic corrections to the eikonal approximation through order 1/k^2, where k is the wave number. The expansion is applied to wave functions for the Klein-Gordon equation and for the…

Nuclear Theory · Physics 2011-07-19 J. A. Tjon , S. J. Wallace

The evolution of electromagnetic transitions along isotope chains is of particular importance for the nuclear structure and dynamics, as well as for the r-process nucleosynthesis. Recent measurement of inelastic proton scattering on…

Nuclear Theory · Physics 2021-05-19 G. Kruzic , T. Oishi , N. Paar

Quantum phase transitions between competing equilibrium shapes of nuclei with an odd number of nucleons are explored using a microscopic framework of nuclear energy density functionals and a particle-boson core coupling model. The boson…

Nuclear Theory · Physics 2017-07-12 K. Nomura , T. Nikšić , D. Vretenar

In this work, we aim to achieve a minimal extension of the quantum-number projected generator coordinate method (PGCM) to describe Gamow-Teller (GT) transition strengths in even-even nuclei and to compute the NME of $2\nu\beta\beta$ decay.…

Nuclear Theory · Physics 2026-04-06 R. N. Chen , X. Lian , J. M. Yao , C. L. Bai

Energy levels of the four lowest bands in 160,162,164Dy and 168Er, B(E2) transition strengths between the levels, and the B(M1) strength distribution of the ground state, all calculated within the framework of pseudo-SU(3) model, are…

Nuclear Theory · Physics 2007-05-23 J. P. Draayer , G. Popa , J. G. Hirsch

Atomic nuclei exhibit deformation, pairing correlations, and rotational symmetries. To meet these competing demands in a computationally tractable formalism, we revisit the use of general pair condensates with good particle number as a…

Nuclear Theory · Physics 2022-04-06 Yi Lu , Yang Lei , Calvin W. Johnson , Jia Jie Shen

A new three parameter formula is proposed for ground-state bands in even-even soft rotors or called transitional nuclei. The new formula blends those of very soft nuclei and well deformed nuclei. Especially, it is found in fact that the…

Simple analytical models for E1 strength function calculations of the $\gamma$-decay are investigated.

Nuclear Theory · Physics 2017-08-23 V. A. Plujko , O. O. Kavatsyuk

We use the canonical Hartree-Fock-Bogoliubov basis to implement a completely self-consistent quasiparticle-random-phase approximation with arbitrary Skyrme energy density functionals and density-dependent pairing functionals. The point of…

Nuclear Theory · Physics 2011-07-18 J. Terasaki , J. Engel , M. Bender , J. Dobaczewski , W. Nazarewicz , M. Stoitsov

We study low-lying multipole strength in neutron-halo nuclei. The strength depends only on a few low-energy constants: the neutron separation energy, the asymptotic normalization coefficient of the bound state wave function, and the…

Nuclear Theory · Physics 2007-05-23 S. Typel , G. Baur

Isotope shifts of the mean square radii (MSR) and electric quadrupole moments of even-even nuclei with 20< Z < 98$ are calculated using a dynamical microscopic model. A single particle Nilsson potential with the Seo set of correction term…

Nuclear Theory · Physics 2009-09-25 Bozena Nerlo-Pomorska , Beata Mach
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