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Related papers: Enhancement of octupole strength in near spherical…

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We present a model which describes the properties of odd-even nuclei with one nucleon more, or less, with respect to the magic number. In addition to the effects related to the unpaired nucleon, we consider those produced by the excitation…

Nuclear Theory · Physics 2015-09-16 G. Co' , V. De Donno , M. Anguiano , R. N. Bernard , A. M. Lallena

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

From the semi-empirical formalisms of Bohr-Mottelson, a new model, based on the effect of beta- and gamma- head energies and the variable moment of inertia, was developed to calculate the ground state rotational band of almost all deformed…

Nuclear Theory · Physics 2007-05-23 Mohamed E. Kelabi , A. Y. Ahmed , Vikram Singh

We discuss the octupole deformation properties of many even-even actinide isotopes. The analysis is carried out in the mean field framework (Hartree-Fock-Bogoliubov approximation) by using the axially symmetric octupole moment as a…

Nuclear Theory · Physics 2012-09-06 L. M. Robledo , R. R. Rodriguez-Guzman

We calculate correlation energies associated with the quadrupolar shape degrees of freedom with a view to improving the self-consistent mean-field theory of nuclear binding energies. The Generator Coordinate Method is employed using…

Nuclear Theory · Physics 2009-11-10 M. Bender , G. F. Bertsch , P. -H. Heenen

In this study, we investigate the role of nuclear deformation on the calculated electron capture cross section (ECC) of even-even chromium (Cr) isotopes. We first determined the nuclear structure properties of these nuclei within the…

Nuclear Theory · Physics 2025-04-15 Jameel-Un Nabi , Mahmut Boyukata , Asim Ullah , Muhammad Riaz

Root-mean-square charge radii are discussed in terms of spherical Energy Density Functional (EDF) models corrected for quadrupole deformations. Comparisons between experiment and theory are made for the absolute radii of all even-even…

Nuclear Theory · Physics 2022-08-31 B. Alex Brown , Kei Minamisono

We present a symmetry projection technique for enforcing rotational and parity symmetries in nuclear-electronic Hartree-Fock wave functions, which treat electrons and nuclei on equal footing. The molecular Hamiltonian obeys rotational and…

Chemical Physics · Physics 2023-11-03 Robin Feldmann , Alberto Baiardi , Markus Reiher

We propose a new method to solve the Hartree-Fock-Bogoliubov equations for weakly bound nuclei, which works for both spherical and axially deformed cases. In this approach, the quasiparticle wave functions are expanded in a complete set of…

Nuclear Theory · Physics 2008-11-26 M. Stoitsov , N. Michel , K. Matsuyanagi

Spherical Harmonic Gaussian type orbitals and Slater functions can be expressed using spherical coordinates or a linear combinations of the appropriate Cartesian functions. General expressions for the transformation coefficients between the…

Other Condensed Matter · Physics 2025-07-21 Chiara Ribaldone , Jacques Kontak Desmarais

The isoscalar octupole response of a heavy spherical nucleus is analyzed in a semiclassical model based on the linearized Vlasov equation. The octupole strength function is evaluated with different degrees of approximation. The zero-order…

Nuclear Theory · Physics 2009-11-10 V. I. Abrosimov , O. I. Davidovskaya , A. Dellafiore , F. Matera

The deformation parameters beta and gamma together with the two-quasiparticle excitations are taken into account, for the first time, as coordinates within a symmetry conserving (angular momentum and particle number) generator coordinate…

Nuclear Theory · Physics 2017-02-22 Fang-Qi Chen , J. Luis Egido

The quadrupole deformation properties of the ground and low-lying excited states of the even-even Magnesium isotopes with N ranging from 8 to 28 have been studied in the framework of the angular momentum projected generator coordinate…

Nuclear Theory · Physics 2009-11-07 R. Rodriguez-Guzman , J. L. Egido , L. M. Robledo

The experimental $E1$ strength distribution below 4 MeV in rare-earth nuclei suggests a local breaking of isospin symmetry. In addition to the octupole states, additional $1^-$ states with enhanced E1 strength have been observed in…

Nuclear Theory · Physics 2015-05-19 M. Spieker , S. Pascu , A. Zilges , F. Iachello

Rotational structures of even-even $^{148-160}$Nd nuclei are studied with the self-consistent deformed Hartree-Fock (HF) and angular momentum (J) projection model. Spectra of ground band, recently observed $K=4^{-}$, $K=5^{-}$ and a few…

Nuclear Theory · Physics 2015-05-28 S. K. Ghorui , Z. Naik , S. K. Patra , A. K. Singh , P. K. Raina , P. K. Rath , C. R. Praharaj

We investigate the stability and softness of nuclei against quadrupole, octupole, and hexadecapole deformation. By applying the spherical Skyrme-force Hartree-Fock Bardeen-Cooper-Schrieffer quasi-particle random phase approximation, we…

Nuclear Theory · Physics 2026-02-16 Le-Anh Nguyen , Minh-Loc Bui , Panagiota Papakonstantinou , Naftali Auerbach

We employ the multipole expansion within the unified electroweak theory to develop a complete calculation method of the electron scattering cross section for light nuclei. The specific calculations for 6,7Li and 7Be nuclei indicate that the…

Nuclear Theory · Physics 2025-05-06 Vo Minh Truong , Nguyen Quang Hung

We numerically implement a quasi-spherical approximation scheme for computing gravitational waveforms for coalescing black holes, testing it against angular momentum by applying it to Kerr black holes. As error measures, we take the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Hisa-aki Shinkai , Sean A. Hayward

The molecular Schr\"odinger equation is rewritten in terms of non-unitary equations of motion for the nuclei (or electrons) that depend parametrically on the configuration of an ensemble of generally defined electronic (or nuclear)…

Mesoscale and Nanoscale Physics · Physics 2016-02-18 Guillermo Albareda , Heiko Appel , Ignacio Franco , Ali Abedi , Angel Rubio

The effect of an octupole term in a quadrupole deformed single particle potential is studied from the classical and quantum mechanical view point. Whereas the problem is nonintegrable, the quantum mechanical spectrum nevertheless shows some…

Nuclear Theory · Physics 2009-10-28 W. Dieter Heiss , Rashid G. Nazmitdinov , Stefanel Radu