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Related papers: Inter-band B(E1) Strengths in Heavy Nuclei based o…

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Inter-band B(E2) transition strengths between different normal parity bands in 163Dy and 165Er are described using the pseudo-SU(3) model. The Hamiltonian includes Nilsson single-particle energies, quadrupole-quadrupole and pairing…

Nuclear Theory · Physics 2009-11-07 C. E. Vargas , J. G. Hirsch , J. P. Draayer

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

We calculate reduced B(E2) and B(M1) electromagnetic transition strengths within and between K-bands in support of a recently proposed model for the structure of heavy nuclei. Previously, only spectra and a rough indication of the largest…

Nuclear Theory · Physics 2015-06-04 B. Buck , A. C. Merchant , S. M. Perez

Shell model and interacting boson model spaces admit multiple $SU^{(\alpha)}(3)$ algebras generating the same rotational spectra but different $E2$ decay properties, depending on the phases ${\alpha}$ in the quadrupole generator. In the…

Nuclear Theory · Physics 2021-11-08 V. K. B. Kota , R. Sahu

The low-energy spectra and B(E2) electromagnetic transition strengths of 159Eu, 159Tb and 159Dy are described using the pseudo SU(3) model. Normal parity bands are built as linear combinations of SU(3) states, which are the direct product…

Nuclear Theory · Physics 2009-11-06 C. E. Vargas , J. G. Hirsch , T. Beuschel , J. P. Draayer

A collective vector-boson model with broken SU(3) symmetry is applied to several deformed even-even nuclei. The model description of ground and $\gamma$ bands together with the corresponding B(E2) transition probabilities is investigated…

Nuclear Theory · Physics 2009-09-25 N. Minkov , S. Drenska , P. Raychev , R. Roussev , Dennis Bonatsos

The systematics of experimental energy differences between the levels of the ground state band and the gamma-1 band in even-even nuclei are studied as a function of the angular momentum L, demonstrating a decrease of the energy differences…

Nuclear Theory · Physics 2019-12-25 D. Bonatsos , I. E. Assimakis , A. Martinou , S. K. Peroulis , S. Sarantopoulou , N. Minkov

Normal parity bands are studied in 157Gd, 163Dy and 169Tm using the pseudo SU(3) shell model. Energies and B(E2) transition strengths of states belonging to six low-lying rotational bands with the same parity in each nuclei are presented.…

Nuclear Theory · Physics 2009-11-07 C. E. Vargas , J. G. Hirsch , J. P. Draayer

A collective vector-boson model with broken SU(3) symmetry, in which the ground state band and the lowest $\gamma$ band belong to the same irreducible representation but are non-degenerate, is applied to several deformed even-even nuclei.…

Nuclear Theory · Physics 2009-09-25 N. Minkov , S. B. Drenska , P. P. Raychev , R. P. Roussev , D. Bonatsos

Several topics concerning nuclear structure and electromagnetic interactions of heavy nuclei are reviewed. These comprehend the deformed single-particle shell model, nuclear collective motion, symmetry breaking and approximate symmetry…

Nuclear Theory · Physics 2024-06-12 Alejandro Restrepo-Giraldo

Microscopic studies in heavy nuclei are very scarce due to large valence spaces involved. This computational problem can be avoided by means of the use of symmetry based models. Ground-state, gamma and beta-bands, and their B(E2) transition…

Nuclear Theory · Physics 2013-01-15 Carlos E. Vargas , Victor Velazquez , Sergio Lerma

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

We present a review of the pseudo-SU(3) shell model and its application to heavy deformed nuclei. The model have been applied to describe the low energy spectra, B(E2) and B(M1) values. A systematic study of each part of the interaction…

Nuclear Theory · Physics 2015-06-12 Gabriela Popa , Ana Georgieva

We derive analytic expressions for the energies and $B(E2)$-transition probabilities in the states of the ground and $\gamma$ bands of heavy deformed nuclei within a collective Vector-Boson Model with SU(3) dynamical symmetry. On this basis…

Nuclear Theory · Physics 2009-11-06 Nikolay Minkov , S. B. Drenska , P. P. Raychev , R. P. Roussev , Dennis Bonatsos

The pseudo-SU(3) model has been extensively used to study normal parity bands in even-even and odd-mass heavy deformed nuclei. The use of a realistic Hamiltonian that mixes many SU(3) irreps has allowed for a successful description of…

Nuclear Theory · Physics 2017-08-23 Jorge G. Hirsch , Carlos E. Vargas , Gabriela Popa , Jerry P. Draayer

The proxy-SU(3) symmetry predicts, in a parameter-free way, the collective deformation variables beta and gamma in even-even atomic nuclei away from closed shells based on the highest weight irreducible representations (irreps) of SU(3) in…

The validity of the rotational formula used to compute E1 and E3 transition strengths in even-even nuclei is analyzed within the Generator Coordinate Method framework based on mean field wave functions. It turns out that those nuclei with…

Nuclear Theory · Physics 2020-03-19 L. M. Robledo

Whereas previous works for B(E2)'s in the even-even Ti isotopes focused on yrast transitions we here also consider inter-band transitions to a second group i.e. states like 1_{1} , 2_{2}, 3_{1} , 4_{2} , 5_{1}e.t.c.. We focus on variations…

Nuclear Theory · Physics 2021-01-29 Levering Wolfe , Larry Zamick

The rapid increase of computational power over the last several years has allowed detailed microscopic investigations of the structure of many nuclei in terms of Relativistic Mean Field theories as well as in the framework of the no-core…

Nuclear Theory · Physics 2019-12-25 D. Bonatsos , A. Martinou , I. E. Assimakis , S. Sarantopoulou , S. Peroulis , N. Minkov

A pseudo shell SU(3) model description of normal parity bands in 159-Tb is presented. The Hamiltonian includes spherical Nilsson single-particle energies, the quadrupole-quadrupole and pairing interactions, as well as three rotor terms. A…

Nuclear Theory · Physics 2011-07-19 C. E. Vargas , J. G. Hirsch , J. P. Draayer
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