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We address the problem of collective motion across a barrier like encountered in fission. A formula for the quantal decay rate is derived which bases on a recently developed variational approach for functional integrals. This formula can be…

Nuclear Theory · Physics 2009-11-10 Christian Rummel , Helmut Hofmann

The ground-state correlation energy calculated in the random-phase approximation (RPA) is known to be identical to that calculated using a subset of terms appearing in coupled-cluster theory with double excitations. In particular, this…

Chemical Physics · Physics 2019-04-16 Timothy C. Berkelbach

The contribution of quantum shape fluctuations to inertial properties of rotating nuclei has been analyzed for QQ-nuclear interaction using the random phase approximation (RPA). The different recipes to treat the cranking mean field plus…

Nuclear Theory · Physics 2016-08-16 D. Almehed , F. Dönau , R. G. Nazmitdinov

The accurate computation of non-linear optical properties (NLOPs) in large polymers requires accounting for electronic correlation effects with a reasonable computational cost. The Random Phase Approximation (RPA) used in the adiabatic…

In this paper, we present a detailed analysis of normal modes based on the Boltzmann equation within the mutilated relaxation time approximation (RTA). Using this linearized effective kinetic description, our analysis encompasses a complete…

High Energy Physics - Phenomenology · Physics 2025-04-07 Jin Hu

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

To explore the applicability of orbital-free density functional theory (OF-DFT) in nuclear physics, we perform a systematic benchmark of 36 one-point kinetic energy density functionals, which are originally developed for electron systems in…

Nuclear Theory · Physics 2026-05-20 Tian Shuai Shang , Jian Li , Haozhao Liang , Xinhui Wu , Cheng Ma , Wenhui Mi , Xuecheng Shao , Yanchao Wang

Quantum information is a common topic of research in many areas of quantum physics, such as quantum communication and quantum computation, as well as quantum thermodynamics. It can be encoded in discrete or continuous variable systems, with…

Quantum Physics · Physics 2021-03-25 Jonas F. G. Santos , Carlos H. S. Vieira , Pedro R. Dieguez

We formulate the self-consistent separable random-phase-approximation (SRPA) method and specify it for Skyrme forces with pairing for the case of axially symmetric deformed nuclei. The factorization of the residual interaction allows to…

Nuclear Theory · Physics 2009-11-11 V. O. Nesterenko , W. Kleinig , J. Kvasil , P. Vesely , P. -G. Reinhard , D. S. Dolci

The results of two relativistic models with different descriptions of the final-state interactions are compared with the MiniBooNE data of charged-current quasielastic cross sections. The relativistic mean field model uses the same…

Nuclear Theory · Physics 2011-10-19 Andrea Meucci , M. B. Barbaro , J. A. Caballero , C. Giusti , J. M. Udias

The short time dynamics of a quantum Brownian particle in a harmonic potential is studied in the phase space. An exact non-Markovian analytic approach to calculate the time evolution of the Wigner function is presented. The dynamics of the…

Quantum Physics · Physics 2015-06-26 Sabrina Maniscalco

Our study consists of investigations of nuclear ground state properties and weak transition rates of even even waiting point nuclei. The calculation was performed for N = 50 and N = 82 nuclei. The Relativistic Mean Field (RMF) model was…

Nuclear Theory · Physics 2025-03-04 Jameel-Un Nabi , Tuncay Bayram , Gul Daraz , Abdul Kabir , Sevki Senturk

The Faddeev random phase approximation (FRPA) method is applied to calculate the ground state and ionization energies of simple atoms. First ionization energies agree with the experiment at the level of ~10 mH or less. Calculations with…

Chemical Physics · Physics 2009-05-12 C. Barbieri , D. Van Neck

The action of the long-range residual force on the expectation value of observables in the nuclear ground states is evaluated by finding optimal values for the coefficients of the canonical transformation which connects the phonon vacuum…

Nuclear Theory · Physics 2015-06-12 S. Mishev

Spatial Poisson point processes on finite-dimensional Euclidean space provide fundamental mathematical tools for modeling random spatial point patterns. In this paper, we introduce and analyze several Poisson-type spatial point processes.…

Probability · Mathematics 2026-01-26 Pradeep Vishwakarma

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

Quantum ground-state problems are computationally hard problems; for general many-body Hamiltonians, there is no classical or quantum algorithm known to be able to solve them efficiently. Nevertheless, if a trial wavefunction approximating…

Based on the competition between $\gamma$-stable and $\gamma$-rigid collective motions mediated by a rigidity parameter, a two-parameter exactly separable version of the Bohr Hamiltonian is proposed. The $\gamma$-stable part of the…

Nuclear Theory · Physics 2015-06-19 R. Budaca , A. I. Budaca

For a given quantum impurity model, Wilson's numerical renormalization group (NRG) naturally defines a NRG Hamiltonian whose exact eigenstates and eigenenergies are obtainable. We give exact expressions for the free energy, static, as well…

Strongly Correlated Electrons · Physics 2020-10-16 Ke Yang , Ning-Hua Tong

A general continuum-RPA approach is developed to describe electromagnetic transitions between giant resonances. Using a diagrammatic representation for the three-point Green's function, an expression for the transition amplitude is derived…

Nuclear Theory · Physics 2009-11-07 V. A. Rodin , A. E. L. Dieperink
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