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This note summarizes the motivation for extending current density-functional theory to include nonlocal one-electron potentials, and proposes methodology for practical calculations. The theoretical model, orbital functional theory, has been…

Condensed Matter · Physics 2007-05-23 R. K. Nesbet

A method is formulated for the description of lambda hypernuclei in the framework of the unitary-model-operator approach (UMOA). The method is applied to $_{\Lambda}^{17}$O. A lambda-nucleon effective interaction is derived, taking the…

Nuclear Theory · Physics 2009-10-31 S. Fujii , R. Okamoto , K. Suzuki

We consider some extensions of Gamow's liquid drop model for an atomic nucleus. We present a review of the classical model and then we illustrate some recent developments on a nonlocal variant, where the perimeter term is replaced by the…

Analysis of PDEs · Mathematics 2023-03-07 M. Novaga , F. Onoue

$(\alpha,\gamma)$ and $(\alpha$,n) reaction cross sections recently measured close to the reaction thresholds are rather well described by a previously developed regional optical potential. Thus, particular features of the $\alpha$-particle…

Nuclear Experiment · Physics 2009-04-28 M. Avrigeanu , V. Avrigeanu

The entanglement of quantum systems can produce a variety of nonclassical effects that have practical applications in quantum information science. One example of this is nonlocal dispersion cancellation, in which the effects of dispersion…

Quantum Physics · Physics 2020-10-26 I. C. Nodurft , S. U. Shringarpure , B. T. Kirby , T. B. Pittman , J. D. Franson

An efficient numerical approach to equilibrium properties of strongly coupled systems which include a subsystem of fermionic quantum particles and a subsystem of classical particles is presented. It uses an improved path integral…

Strongly Correlated Electrons · Physics 2017-08-23 V. S. Filinov , P. R. Levashov , V. E. Fortov , M. Bonitz

This work studies $\bar{p}$-Ca atom spectra in light of the strong shifts and level widths, using the optical model with several types of parametric coefficients. The spectroscopic quantities are obtained as the eigenvalues of the Dirac…

The quasiparticle concept is an important tool for the description of many-body systems. We study the quasiparticle properties for dilute Fermi systems with short-ranged, repulsive interactions using effective field theory. We calculate the…

Nuclear Theory · Physics 2009-11-07 L. Platter , H. -W. Hammer , Ulf-G. Meißner

We present analytical formulas for the vacuum-polarization Uehling potential in the case where the finite size of the nucleus is modeled by a Fermi charge distribution. Using a Sommerfeld-type development, the potential is expressed in…

Quantum Physics · Physics 2020-01-07 Jean-Christophe Pain

We formulate a microscopic optical potential from chiral two- and three-body forces. The real and imaginary central terms of the optical potential are obtained from the nucleon self-energy in infinite matter, while the real spin-orbit term…

Nuclear Theory · Physics 2019-11-20 T. R. Whitehead , Y. Lim , J. W. Holt

A full-quantum approach is used to study quantum nonlinear properties of a compound Michelson-Sagnac interferometer optomechanical system. The effective Hamiltonian shows that both dissipative and dispersive couplings possess imaginary- and…

Quantum Physics · Physics 2023-10-20 Wen-Quan Yang , Wei Niu , Yong-Hong Ma , Wen-Zhao Zhang

The structure of the electronic nonlinear optical conductivity is elucidated in a detailed study of the time-reversal symmetric two-band model. The nonlinear conductivity is decomposed as a sum of contributions related with different…

Other Condensed Matter · Physics 2021-09-22 D. J. Passos , G. B. Ventura , J. M. B. Lopes dos Santos , J. M. Viana Parente Lopes

Diffusion is a central phenomenon in almost all fields of natural science revealing microscopic processes from the observation of macroscopic dynamics. Here, we consider the paradigmatic system of a single atom diffusing in a periodic…

We show that under certain assumptions a general model of nonlocal nonlinear response in 1+1-dimension is equivalent to the model considered by Krolikowski and Bang for a Kerr-type medium. We derive the limit of weak nonlocality in high…

Exactly Solvable and Integrable Systems · Physics 2017-08-23 Boris G. Konopelchenko , Antonio Moro

We present an evaluation of the non-mesonic decay widths for Lambda-hypernuclei (Lambda N --> NN, Lambda NN --> NNN) within the framework of the polarization propagator method. The full Lambda self-energy is evaluated microscopically in…

Nuclear Theory · Physics 2009-10-31 W. M. Alberico , A. De Pace , G. Garbarino , R. Cenni

We present algorithms for solving spatially nonlocal diffusion models on the unit sphere with spectral accuracy in space. Our algorithms are based on the diagonalizability of nonlocal diffusion operators in the basis of spherical harmonics,…

Numerical Analysis · Mathematics 2018-06-11 Richard Mikael Slevinsky , Hadrien Montanelli , Qiang Du

We characterize the particle transport, particle loss, and nonequilibrium steady states in a dissipative one-dimensional lattice connected to reservoirs at both ends. The free-fermion reservoirs are fixed at different chemical potentials,…

Quantum Gases · Physics 2023-03-27 A. -M. Visuri , T. Giamarchi , C. Kollath

We investigate the behavior of the kinetic and the exchange energy densities near the nuclear cusp of atomic systems. Considering hydrogenic orbitals, we derive analytical expressions near the nucleus, for single shells, as well as in the…

Other Condensed Matter · Physics 2016-04-01 L. A. Constantin , E. Fabiano , F. Della Sala

The properties of single-particle states in the magic nuclei $^{40}$Ca and $^{208}$Pb, in particular the energies, spectroscopic factors and the effective mass, have been studied in a fully self-consistent particle-vibration coupling (PVC)…

Nuclear Theory · Physics 2015-06-18 Li-Gang Cao , G. Colo , H. Sagawa , P. F. Bortignon

Background: Recent high-precision measurements of alpha-induced reaction data below the Coulomb barrier have pointed out questions of the alpha-particle optical-model potential (OMP) which are yet open within various mass ranges. Purpose:…

Nuclear Theory · Physics 2016-09-07 V. Avrigeanu , M. Avrigeanu