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The leading terms in the large-$R$ asymptotics of the functional of the one-electron reduced density matrix for the ground-state energy of the H$_2$ molecule with the internuclear separation $R$ is derived thanks to the solution of the…

Chemical Physics · Physics 2023-03-14 Jerzy Cioslowski , Christian Schilling , Rolf Schilling

The coupled dynamics of the scissors mode and the isovector giant quadrupole resonance are studied using a generalized Wigner function moments method taking into account pair correlations. Equations of motion for angular momentum,…

Nuclear Theory · Physics 2009-11-13 E. B. Balbutsev , L. A. Malov , P. Schuck , M. Urban , X. Vinyes

Atomic physics techniques for the determination of ground-state properties of radioactive isotopes are very sensitive and provide accurate masses, binding energies, Q-values, charge radii, spins, and electromagnetic moments. Many fields in…

Atomic Physics · Physics 2015-06-11 Klaus Blaum , Jens Dilling , Wilfried Nörtershäuser

We compute ground-state and dynamical properties of $^4$He and $^{16}$O nuclei using as input high-resolution, phenomenological nucleon-nucleon and three-nucleon forces that are local in coordinate space. The nuclear Schr\"odinger equation…

Nuclear Theory · Physics 2024-05-27 Alex Gnech , Alessandro Lovato , Noemi Rocco

We systematically analyze the recent claim that nonrelativistic and relativistic mean field (RMF) based random phase approximation (RPA) calculations for the centroid energy E_0 of the isoscalar giant monopole resonance yield for the…

Nuclear Theory · Physics 2009-11-10 B. K. Agrawal , S. Shlomo , V. Kim Au

The electric dipole polarizability $\alpha_D$ and the neutron skin thickness $\Delta R_{np}$ of $^{208}\mathrm{Pb}$ are two powerful and clean probes to constrain the symmetry energy at subsaturation density. Within the framework of the…

Nuclear Theory · Physics 2026-02-24 Dandan Niu , Xinyu Wang , Ying Cui , Qiang Zhao , Kai Zhao , Akira Ono , Yingxun Zhang

The Coulomb-nuclear phase shift $\delta^{(cs)}_l$, $\cot\delta^{(cs)}_l$ and a finite limit of the nuclear part $\Delta_l(k)$ of the effective-range function (ERF) are derived for an arbitrary orbital momentum $l$ when energy…

Nuclear Theory · Physics 2019-01-11 Yu. V. Orlov

Asymptotic normalization coefficients (ANCs) for 8Li->7Li+n have been extracted from the neutron transfer reaction 13C(7Li,8Li)12C at 63 MeV. These are related to the ANCs in 8B->7Be+p using charge symmetry. We extract ANCs for 8B that are…

We investigate the ground-state properties of asymmetric nuclear matter and its response to a static perturbation using the density functional theory framework. Our method, which extends the finite-nucleon-number technique of…

Nuclear Theory · Physics 2025-08-06 M. Li , F. Marino , G. Colò , H. Liang

Bound and resonance states of quantum dots play a significant role in photo-absorption processes. In this work, we analyze a cylindrical quantum dot, its spectrum and, in particular, the behaviour of the lowest resonance state when a…

Mesoscale and Nanoscale Physics · Physics 2014-05-01 Alba Y Ramos , Omar Osenda

Nuclear state densities are important inputs to statistical models of compound-nucleus reactions. State densities are often calculated with self-consistent mean-field approximations that do not include important correlations and have to be…

Nuclear Theory · Physics 2021-06-16 P. Fanto , Y. Alhassid

We have previously developed for nuclear cross-sections of therapeutic protons a calculation model, which is founded on the collective model as well as a quantum mechanical many particle problem to derive the S matrix and transition…

Medical Physics · Physics 2014-02-25 W. Ulmer

The nucleon resonances are investigated within a dynamical coupled-channels model of pi N and gamma N reactions up to the invariant mass W = 2 GeV. The meson-baryon (MB) channels included in the calculations are MB = pi N, eta N, K Lambda,…

Nuclear Theory · Physics 2013-09-30 H. Kamano , S. X. Nakamura , T. -S. H. Lee , T. Sato

The rapid falloff of the oscillator functions at large radius (Gaussian asymptotics) makes them poorly suited for the description of the asymptotic properties of the nuclear wave function, a problem which becomes particularly acute for halo…

Nuclear Theory · Physics 2014-09-02 M. A. Caprio , P. Maris , J. P. Vary

We provide an investigation of the spectroscopic factor of resonance states in $A =5-8$ nuclei, utilizing the Gamow shell model (GSM). Within the GSM, the configuration mixing is taken into account exactly with the shell model framework,…

Nuclear Theory · Physics 2024-06-11 M. R. Xie , J. G. Li , N. Michel , H. H. Li , W. Zuo

We apply the complex scaling method to the calculation of scattering phase shifts and extract the contributions of resonances in a phase shift and a cross section. The decomposition of the phase shift is shown to be useful to understand the…

Nuclear Theory · Physics 2015-06-19 Myagmarjav Odsuren , Kiyoshi Kato , Masayuki Aikawa , Takayuki Myo

We apply the renormalisation group (RG) to analyse scattering by short-range forces in systems with coupled channels. For two S-wave channels, we find three fixed points, corresponding to systems with zero, one or two bound or virtual…

Nuclear Theory · Physics 2012-02-29 Vadim Lensky , Michael C. Birse

We consider nuclei composed of nucleons which interact via two-body potentials decreasing exponentially at infinity. Protons and neutrons are not distinguished in order to simplify notations. The basic result is the rigorous mathematical…

Nuclear Theory · Physics 2019-11-21 Franco Capuzzi

Coulomb breakup is used to infer radiative-capture cross sections at astrophysical energies. We test theoretically the accuracy of this indirect technique in the particular case of 15C, for which both the Coulomb breakup to ^{14}C+n and the…

Nuclear Theory · Physics 2016-07-25 Pierre Capel , Yvan Nollet

The static and dynamic electric-dipole polarizabilities and tune-out wavelengths for the ground state of Cs atoms are calculated by using a semiempirical relativistic configuration interaction plus core polarization approach. By considering…

Atomic Physics · Physics 2020-12-02 Jun Jiang , Xian-Jun Li , Xia Wang , Chen-Zhong Dong , Z. W. Wu