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The quasiparticle finite amplitude method (QFAM) is extended to describe charge-exchange transitions based on the relativistic Hartree-Bogoliubov model, adopting the point-coupling energy density functional DD-PC1 and a finite-range…

Nuclear Theory · Physics 2026-01-01 Chen Chen , Zhengzheng Li , Yinu Zhang , Yifei Niu

Collective mass tensor derived from the cranking approximation to the adiabatic time-dependent Hartree-Fock-Bogoliubov (ATDHFB) approach is compared with that obtained in the Gaussian Overlap Approximation (GOA) to the generator coordinate…

Nuclear Theory · Physics 2014-12-09 A. Baran , J. A. Sheikh , J. Dobaczewski , W. Nazarewicz

The nonrelativistic energies of the homonuclear ion T$_2^+$ are calculated for the ground state using the Lagrange-mesh method as was done for the isotopomers H$_2^+$ and D$_2^+$ ({\it J. Phys. B: At. Mol. Opt. Phys.} {\bf 45} 065101 and…

Atomic and Molecular Clusters · Physics 2015-06-19 Horacio Olivares Pilón

Recent experimental data have demonstrated that $^{76}$Ge may be a rare example of a nucleus exhibiting rigid $\gamma$-deformation in the low-spin regime. In the present work, the experimental analysis is supported by microscopic…

Nuclear Theory · Physics 2015-06-18 G. H. Bhat , W. A. Dar , J. A. Sheikh , Y. Sun

Some special features of magnetically deformed multi-electron atoms in the crustal region of strongly magnetized neutron stars (magnetars) are studied with the relativistic version of semi-classical Thomas-Fermi model. An analytical…

Astrophysics · Physics 2007-05-23 Nandini Nag , Somenath Chakrabarty

We have performed self-consistent Skyrme Hartree-Fock-Bogolyubov calculations for nuclei close to $^{254}$No. Self-consistent deformations, including $\beta_{2,4,6,8}$ as functions of the rotational frequency, were determined for even-even…

Nuclear Theory · Physics 2017-08-23 Yue Shi , J. Dobaczewski , P. T. Greenlees , J. Toivanen , P. Toivanen

The analytic quadrupole octupole axially symmetric model, which had successfully predicted 226Ra and 226Th as lying at the border between the regions of octupole deformation and octupole vibrations in the light actinides using an infinite…

Nuclear Theory · Physics 2015-11-23 Dennis Bonatsos , Andriana Martinou , N. Minkov , S. Karampagia , D. Petrellis

We have studied positive-parity states of $^{28}$Si using antisymmetrized molecular dynamics (AMD) and multi-configuration mixing (MCM) with constrained variation. Applying constraints to the cluster distance and the quadrupole deformation…

Nuclear Theory · Physics 2009-10-29 Yasutaka Taniguchi , Yoshiko Kanada-En'yo , Masaaki Kimura

A collective Hamiltonian for the rotation-vibration motion of nuclei is considered, in which the axial quadrupole and octupole degrees of freedom are coupled through the centrifugal interaction. The potential of the system depends on the…

Nuclear Theory · Physics 2009-11-11 N. Minkov , P. Yotov , S. Drenska , W. Scheid , D. Bonatsos , D. Lenis , D. Petrellis

The shape transitions and shape coexistence in the Ge and Se isotopes are studied within the interacting boson model (IBM) with the microscopic input from the self-consistent mean-field calculation based on the Gogny-D1M energy density…

Nuclear Theory · Physics 2017-06-15 K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo

Most atomic nuclei are deformed with a quadrupole shape described by its overall strength $\beta_2$ and triaxiality $\gamma$. The deformation can be accessed in high-energy heavy-ion collisions by measuring the collective flow response of…

Nuclear Theory · Physics 2022-05-04 Jiangyong Jia

Dipole bosons are introduced in the interacting boson model (IBM) by means of the self-consistent mean-field method. The constrained mean-field calculations employing a given nuclear energy density functional yield the potential energy…

Nuclear Theory · Physics 2025-10-21 K. Nomura

The angular momentum projected Generator Coordinate Method, with the quadrupole moment as collective coordinate and the Gogny force (D1S) as the effective interaction, is used to describe the properties of the ground state and low-lying…

Nuclear Theory · Physics 2009-11-10 R. R. Rodriguez-Guzman , J. L. Egido , L. M. Robledo

The quadrupole coupling constant $C_{\text{Q}}$ and the asymmetry parameter $\eta$ of the aluminium nuclei in two polymorphs of the complex aluminium hydride CsAlH4 are determined from both $^{27}$Al MAS NMR spectra and $^{27}$Al NMR…

Materials Science · Physics 2024-10-11 Bodo Zibrowius , Michael Fischer

\gamma-softness in atomic nuclei is investigated in the framework of energy density functionals. By mapping constrained microscopic energy surfaces for a set of representative non-axial medium-heavy and heavy nuclei to a Hamiltonian of the…

Nuclear Theory · Physics 2015-05-30 K. Nomura , N. Shimizu , D. Vretenar , T. Niksic , T. Otsuka

Background: To describe shape fluctuations associated with large-amplitude collective motion in the quadrupole degrees of freedom, the five-dimensional collective Hamiltonian (5DCH) has been widely used. The inertial functions in the 5DCH…

Nuclear Theory · Physics 2024-06-17 Kouhei Washiyama , Nobuo Hinohara , Takashi Nakatsukasa

We present a novel nuclear energy density functional method to calculate spectroscopic properties of atomic nuclei. Intrinsic nuclear quadrupole deformations and rotational frequencies are considered simultaneously as the degrees of freedom…

Nuclear Theory · Physics 2016-02-10 J. Luis Egido , Marta Borrajo , Tomás R. Rodríguez

Nuclei exhibit both single-particle and collective degrees of freedom, with the latter often subdivided into vibrational and rotational motions. Experimentally identifying the relative roles of these collective modes is extremely…

Nuclear Theory · Physics 2020-11-11 J. Henderson

The coupling of the high-lying dipole mode to the low-lying quadrupole modes for the case of deformed gamma-unstable nuclei is studied. Results from the geometrical model are compared to those obtained within the dipole boson model.…

Nuclear Theory · Physics 2009-11-06 C. E. Alonso , M. V. Andres , J. M. Arias , E. G. Lanza , A. Vitturi

We discuss properties of the quadrupole collective excitation of the deformed neutron-rich nucleus $^{38}$Mg within the framework of quasi-particle random phase approximation (QRPA). We first solve the coupled-channels equations to obtain…

Nuclear Theory · Physics 2015-06-26 K. Hagino , Nguyen Van Giai , H. Sagawa