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\textbf{Background:} The initial observation of a negative-parity state in proximity to the ground state in the 1950s marked the advent of extensive research into octupole deformed nuclei. Since then, the physics of octupole deformed nuclei…

Nuclear Theory · Physics 2024-06-12 Yong Peng , Jing Geng , Wen Hui Long

The conclusions of the study published as Eur. Phys. J. A (2019) 55:150 questioning the adequacy of the recently proposed Gogny D1M* interaction for finite-nuclei calculations using harmonic oscillator (HO) basis are revised. The existence…

Nuclear Theory · Physics 2020-07-13 C. Gonzalez-Boquera , M. Centelles , X. Viñas L. M. Robledo

We investigate two distinct sources of uncertainty in low-energy nuclear physics calculations and develop ways to account for them. Harmonic oscillator basis expansions are widely used in ab-initio nuclear structure calculations. Finite…

Nuclear Theory · Physics 2016-08-05 Sushant N. More

Random Phase Approximation (RPA) is the basic method for calculation of excited states of nuclei over the Hartree-Fock ground state, suitable also for energy density functionals (EDF or DFT). We developed a convenient formalism for…

Nuclear Theory · Physics 2025-06-19 Anton Repko , Jan Kvasil , V. O. Nesterenko , P. -G. Reinhard

Charged-current cross sections are calculated for quasielastic neutrino and antineutrino scattering using a relativistic meson-nucleon model. We examine how nuclear-structure effects, such as relativistic random-phase-approximation (RPA)…

Nuclear Theory · Physics 2009-09-25 Hungchong Kim , J. Piekarewicz , C. J. Horowitz

We explore giant resonance spectra and low-lying dipole strength in the Ni and Sn chains from proton rich to very neutron rich isotopes, relevant in astrophysical reaction chains. For the theoretical description we employ the random-phase…

Nuclear Theory · Physics 2018-11-14 N. Lyutorovich , V. Tselyaev , J. Speth , P. -G. Reinhard

We consider a slow-fast Hamiltonian system with one fast angular variable (a fast phase) whose frequency vanishes on some surface in the space of slow variables (a resonant surface). Systems of such form appear in the study of dynamics of…

Dynamical Systems · Mathematics 2022-12-29 Yuyang Gao , Anatoly Neishtadt , Alexey Okunev

Based on the recent data in NUBASE2012, an improved empirical formula for evaluating the $\alpha$-decay half-lives is presented, in which the hindrance effect resulted from the change of the ground state spins and parities of parent and…

Nuclear Theory · Physics 2015-06-24 Z. Y. Wang , Z. M. Niu , Q. Liu , J. Y. Guo

Some aspects of quantum damped harmonic oscillator (DHO) obeying a Markovian master equation are considered in the absence of thermal noise. The continuity equation is derived and Bohmian trajectories are constructed. As a solution of the…

Quantum Physics · Physics 2023-05-18 S. V. Mousavi

A method for calculating the occupation probability of the number of harmonic oscillator (HO) quanta is developed for a precise few-body wave function obtained in a correlated Gaussian basis. The probability distributions of two- to…

Nuclear Theory · Physics 2015-06-22 W. Horiuchi , Y. Suzuki

Recent developments in the relativistic nuclear field theory (RNFT) are reviewed. Based on the covariant meson-nucleon Lagrangian of quantum hadrodynamics, RNFT connects consistently the high-energy scale of heavy mesons, medium-energy…

Nuclear Theory · Physics 2017-02-06 Elena Litvinova , Caroline Robin

In this thesis are shown developments in the random phase approximation (RPA) in the context of range-separated theories. We present advances in the formalism of the RPA in general, and particularly in the "dielectric matrix" formulation of…

Chemical Physics · Physics 2015-11-24 B. Mussard

A new efficient numerical algorithm for interacting fermion systems is proposed and examined in detail. The ground state is expressed approximately by a linear combination of numerically chosen basis states in a truncated Hilbert space. Two…

Strongly Correlated Electrons · Physics 2007-05-23 Tsuyoshi Kashima , Masatoshi Imada

We reinvestigate the constraints from primordial nucleosynthesis on a possible time-dependent quark mass. The limits on such quark-mass variations are particularly sensitive to the adopted observational abundance constraints. Hence, in the…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-06 Myung-Ki Cheoun , Toshitaka Kajino , Motohiko Kusakabe , Grant J. Mathews

We use a guiding center code ORBIT to study the broadening of resonances and the parametric dependence of the resonance frequency broadening width $\Delta\Omega$ on the nonlinear particle trapping frequency $\omega_b$ of wave-particle…

Plasma Physics · Physics 2018-08-01 G. Meng , N. N. Gorelenkov , V. N. Duarte , H. L. Berk , R. B. White , A. Bhattacharjee , X. G. Wang

We present an approach for including relativistic corrections in lepton-nucleus scattering calculations within the Short-Time Approximation (STA). Previous ab-initio studies employed electromagnetic currents expanded in powers of $q/m$,…

The self-consistent random-phase approximation (SCRPA) is reexamined within a multilevel-pairing model with double degeneracy. It is shown that the expressions for occupation numbers used in the original version of SCRPA violate the…

Nuclear Theory · Physics 2009-11-10 Nguyen Dinh Dang

We derive the self-consistent random phase approximations (sc-RPA) from the projective truncation approximation (PTA) for the equation of motion of two-time Green's function. The obtained sc-RPA applies to arbitrary temperature and recovers…

Strongly Correlated Electrons · Physics 2026-04-21 Yue-Hong Wu , Xinguo Ren , Ning-Hua Tong

A recent Letter attempted to reconcile the disagreement between neutron resonance data and random matrix theory (RMT). To this end, a new formula was derived for transforming measured ({\Gamma}_{{\lambda}n}) to reduced…

Nuclear Theory · Physics 2011-01-25 P. E. Koehler , F. Bečvář , M. Krtička , J. A. Harvey , K. H. Guber

Lately we have been tackling the problem of describing nuclear collective excitations starting from correlated realistic nucleon-nucleon (NN) interactions. The latter are constructed within the Unitary Correlation Operator Method (UCOM),…

Nuclear Theory · Physics 2007-09-21 P. Papakonstantinou , R. Roth