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The Quasiparticle Random Phase Approximation equations are solved taking into account the Pauli Principle at the expectation value level, and allowing changes in the mean field occupation numbers to minimize the energy while having the…

Nuclear Theory · Physics 2009-11-06 Alejandro Mariano , Jorge G. Hirsch

The particle-particle random phase approximation (pp-RPA) has been shown to be capable of describing double, Rydberg, and charge transfer excitations, for which the conventional time-dependent density functional theory (TDDFT) might not be…

Computational Physics · Physics 2017-04-26 Jianfeng Lu , Haizhao Yang

The self-consistent quasiparticle RPA (SCQRPA) is constructed to study the effects of fluctuations on pairing properties in nuclei at finite temperature and z-projection M of angular momentum. Particle-number projection (PNP) is taken into…

Nuclear Theory · Physics 2011-02-18 N. Dinh Dang , N. Quang Hung

A semiclassical model, based on a solution of the Vlasov equation for finite systems with moving-surface, is employed to study the isoscalar dipole modes in nuclei. It is shown that, by taking into account the surface degree of freedom, it…

Nuclear Theory · Physics 2009-11-07 V. I. Abrosimov , A. Dellafiore , F. Matera

The finite amplitude method is a feasible and efficient method for the linear response calculation based on the time-dependent density functional theory. It was originally proposed as a method to calculate the strength functions. Recently,…

Nuclear Theory · Physics 2014-09-17 Takashi Nakatsukasa

The nuclear $\alpha$ decay of heavy nuclei is investigated based on the nuclear energy density functional, which leads to the $\alpha$ potential inside the parent nucleus in terms of the proton and neutron density profiles of the daughter…

Nuclear Theory · Physics 2017-03-22 Yeunhwan Lim , Yongseok Oh

The Fast Multipole Method (FMM) offers an acceleration for pairwise interaction calculation, known as $N$-body problems, from $\mathcal{O}(N^2)$ to $\mathcal{O}(N)$ with $N$ particles. This has brought dramatic increase in the capability of…

Data Structures and Algorithms · Computer Science 2011-09-21 Felipe A. Cruz , L. A. Barba

A semiclassical model based on the solution of the Vlasov equation for finite systems with a sharp moving surface has been used to study the isoscalar quadrupole and octupole collective modes in heavy spherical nuclei. Within this model, a…

Nuclear Theory · Physics 2017-08-23 V. I. Abrosimov , A. Dellafiore , F. Matera

A modern chiral potential incorporating the three-body force is adopted to investigate bulk properties, spectra, and nuclear responses of closed-(sub)shell nuclei throughout the nuclear chart within a particle-hole (p-h) renormalized…

A systematic study on $\alpha$-decay half-lives for the nuclei in the range $93\leq Z \leq 118$ is done by employing various versions of proximity potentials. To obtain the more reliable results, the deformation terms are included up to…

Nuclear Theory · Physics 2021-09-29 M. Hassanzad , O. N. Ghodsi

To study collective motion, the extended pairing plus $QQ$ force model proposed recently is applied to $A$=46, 48 and 50 nuclei in the $fp$ shell region. Exact shell model calculations in the truncated model space…

Nuclear Theory · Physics 2016-09-08 M. Hasegawa , K. Kaneko , S. Tazaki

The Zirconium isotopes exhibit structural properties that present multiple challenges to nuclear theory. Investigations of the coupling present within isoscalar modes and within isovector modes are scarce but important for advancing our…

Nuclear Theory · Physics 2025-05-22 E. V. Chimanski , E. J. In , S. Péru , A. Thapa , W. Younes , J. E. Escher

Shape and multiple shape coexistence of nuclei are investigated throughout the nuclear chart by calculating the low-lying spectra and the quadrupole shape invariants for even-even nuclei with $10\leq Z\leq 104$ from the proton drip line to…

Nuclear Theory · Physics 2023-02-16 Y. L. Yang , P. W. Zhao , Z. P. Li

Efficient estimation of nonlinear functions of quantum states is crucial for various key tasks in quantum computing, such as entanglement spectroscopy, fidelity estimation, and feature analysis of quantum data. Conventional methods using…

Quantum Physics · Physics 2025-06-23 Hongshun Yao , Yingjian Liu , Tengxiang Lin , Xin Wang

An exactly solvable model suitable for the description of single and double-beta decay processes of the Fermi-type is introduced. The model is equivalent to the exact shell-model treatment of protons and neutrons in a single j-shell. Exact…

Nuclear Theory · Physics 2008-11-26 Jorge G. Hirsch , Peter O. Hess , Osvaldo Civitarese

We recently introduced an efficient methodology to perform density-corrected Hartree-Fock density functional theory (DC(HF)-DFT) calculations and an extension to it we called "corrected" HF DFT (C(HF)-DFT). In this work, we take a further…

Chemical Physics · Physics 2023-11-10 Daniel Graf , Alex J. W. Thom

Hyperfine structures of $^{211}$Fr due to the interactions of magnetic dipole ($\mu$), electric quadrupole ($Q$) and magnetic octupole ($\Omega$) moments with the electrons are investigated using the relativistic coupled-cluster (RCC)…

Nuclear Theory · Physics 2015-07-07 B. K. Sahoo

Nowaday, in study of effective interactions, more attention is devoted to single-particle properties of near-magic nuclei and bulk properties of deformed ones but quasiparticle states of the latter are rarely used so far because of…

Nuclear Theory · Physics 2011-11-29 N. A. Lyutorovich

While fast multipole methods (FMMs) are in widespread use for the rapid evaluation of potential fields governed by the Laplace, Helmholtz, Maxwell or Stokes equations, their coupling to high-order quadratures for evaluating layer potentials…

Numerical Analysis · Mathematics 2021-04-26 Leslie Greengard , Michael O'Neil , Manas Rachh , Felipe Vico

Within the finite-field Kohn-Sham framework, static electric response properties of diatomic molecules are presented. The electronic energy, dipole moment ({\boldmath$\mu$}), static dipole polarizability ({\boldmath$\alpha$}) and…

Chemical Physics · Physics 2019-04-26 Abhisek Ghosal , Tanmay Mandal , Amlan K. ~Roy
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