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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

The Projected Shell Model is a shell model theory built up over a deformed BCS mean field. Ground state and excited bands in even-even nuclei are obtained through diagonalization of a pairing plus quadrupole Hamiltonian in an angular…

Nuclear Theory · Physics 2009-10-31 V. Velazquez , J. G. Hirsch , Y. Sun

We perform an ab initio shell-model calculation for ^{18}O in a restricted no-core model space, microscopically deriving a two-body effective interaction and introducing a minimal refinement of one-body energies in the spsd or spsdpf model…

Nuclear Theory · Physics 2009-02-13 S. Fujii , B. R. Barrett

We present lattice calculations of the low-lying spectrum of $^{12}$C using a simple nucleon-nucleon interaction that is independent of spin and isospin and therefore invariant under Wigner's SU(4) symmetry. We find strong signals for all…

Nuclear Theory · Physics 2021-10-04 Shihang Shen , Timo A. Lähde , Dean Lee , Ulf-G. Meißner

We utilize the Shell Model Monte Carlo (SMMC) method to study the structure of rare earth nuclei. This work demonstrates the first systematic ``full oscillator shell plus intruder'' calculations in such heavy nuclei. Exact solutions of a…

Nuclear Theory · Physics 2009-10-31 J. A. White , S. E. Koonin , D. J. Dean

Recently, the shell model in the complex k-plane (the so-called Gamow Shell Model) has been formulated using a complex Berggren ensemble representing bound single-particle states, single-particle resonances, and non-resonant continuum…

Nuclear Theory · Physics 2015-06-26 N. Michel , W. Nazarewicz , M. Ploszajczak , J. Rotureau

Electron capture and beta-decay rates on nuclei in the mass range A=45-65 play an important role in many astrophysical environments. The determination of these rates by large-scale shell model calculations is desirable, but it requires to…

Nuclear Theory · Physics 2009-10-31 E. Caurier , K. Langanke , G. Martinez-Pinedo , F. Nowacki

In the present work, recently available experimental data for different bands of $^{67}$As [Phys. Rev. C {\bf 98}, 024313 (2018)] have been interpreted within the framework of the shell model in full $f_{5/2}pg_{9/2}$ model space using…

Nuclear Theory · Physics 2020-08-18 Vikas Kumar , Praveen C. Srivastava

Low-energy vibrational excitations associated with the fluctuation of quadrupole deformed shapes are discussed within the frame of state-of-the-art Configuration Interaction calculations, actually performed via the Quasi-particle Vacua…

Nuclear Theory · Physics 2025-07-30 Y. Tsunoda , T. Otsuka , N. Shimizu , T. Duguet , Y. Utsuno , T. Abe

The one-dimensional harmonic oscillator in a box problem is used to introduce the concept of a mixed-mode shell-model scheme. The method combines low-lying ``pure mode'' states of a system to achieve a better description in situations where…

Nuclear Theory · Physics 2007-05-23 V. G. Gueorguiev , J. P. Draayer

A systematic investigation of the high-spin band structures observed in $^{103,105,107,109}$Nb and $^{103,105,107,109}$Tc nuclides is performed using the triaxial projected shell model (TPSM) approach. For $^{103,105}$Nb isotopes, four…

Nuclear Theory · Physics 2026-03-10 Uzma Jahangir , S. P. Rouoof , S. Jehangir , G. H. Bhat , J. A. Sheikh , N. A. Rather

The first detailed comparison of the low-momentum interaction V_{low k} with G matrices is presented. We use overlaps to measure quantitatively the similarity of shell-model matrix elements for different cutoffs and oscillator frequencies.…

Nuclear Theory · Physics 2009-11-11 A. Schwenk , A. P. Zuker

Low-lying $K^{\pi}=0^+$ and isomeric $8^-$ states in even-even isotopes $^{250-260}$No are explored within the Quasiparticle Random-Phase Approximation (QRPA) method with Skyrme parametrization SLy4. The deformations, single-particle (s-p)…

Nuclear Theory · Physics 2025-12-01 M. A. Mardyban , V. O. Nesterenko

The model of coherent quadrupole and octupole motion (CQOM) is applied to describe non-yrast split parity-doublet spectra in odd-mass nuclei. The yrast levels are described as low-energy rotation-vibration modes coupled to the ground…

Nuclear Theory · Physics 2013-12-31 N. Minkov , S. Drenska , K. Drumev , M. Strecker , H. Lenske , W. Scheid

Shell structure of low-lying neutron resonant levels in axially-symmetric quadrupole-deformed potentials is discussed, which seems analogous to that of weakly-bound neutrons. As numerical examples, nuclei slightly outside the…

Nuclear Theory · Physics 2016-06-22 Ikuko Hamamoto

In order to provide a microscopic description of levels and E2 transitions in rapidly rotating nuclei with internal excitation energy up to a few MeV, use is made of a shell model which combines the cranked Nilsson mean-field and the…

Nuclear Theory · Physics 2009-10-30 M. Matsuo , T. Døssing , E. Vigezzi , R. A. Broglia , K. Yoshida

Large-scale shell-model calculations are carried out in the model space including neutron-hole orbitals $2p_{1/2}$, $1f_{5/2}$, $2p_{3/2}$, $0i_{13/2}$, $1f_{7/2}$ and $0h_{9/2}$ to study the structure and electromagnetic properties of…

Nuclear Theory · Physics 2016-07-20 Chong Qi , L. Y. Jia , G. J. Fu

The pseudo-SU(3) model is used to describe the low-energy spectra as well as $E2$ and $M1$ transition strengths in $^{158}$Gd. The Hamiltonian includes spherical single-particle energies, the quadrupole-quadrupole and proton and neutron…

Nuclear Theory · Physics 2017-08-23 G. Popa , J. P. Draayer , J. G. Hirsch

In present work, we evaluated the experimental data pertains to two quasiparticle rotational structures in deformed odd-odd nuclei in rare earth mass region. The compilation includes total 234 rotational bands among which 173 are rotational…

Nuclear Theory · Physics 2025-08-08 Pinky , Sushil Kumar , Sukhjeet Singh , A. K. Jain

By using only a fraction of the model space extended beyond current no-core shell-model limits and a schematic effective many-nucleon interaction, we gain additional insight within a symmetry-guided shell-model framework, into the many-body…