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A soluble model of weakly coupled "molecular" and "nuclear" Hamiltonians is studied in order to exhibit explicitly the mechanism leading to the enhancement of fusion probability in case of a narrow near-threshold nuclear resonance. We,…

Materials Science · Physics 2007-05-23 A. K. Motovilov , W. Sandhas , V. B. Belyaev

We study the spectral properties of a spin-boson Hamiltonian that depends on two continuous parameters $0\leq\Lambda<\infty$ (interaction strength) and $0\leq\alpha\leq\pi/2$ (integrability switch). In the classical limit this system has…

Other Condensed Matter · Physics 2009-11-13 Vyacheslav V. Stepanov , Gerhard Muller , Joachim Stolze

The Bose-Hubbard model is a system of interacting bosons that live on the vertices of a graph. The particles can move between adjacent vertices and experience a repulsive on-site interaction. The Hamiltonian is determined by a choice of…

Quantum Physics · Physics 2014-07-11 Andrew M. Childs , David Gosset , Zak Webb

The convergence of no-core shell model (NCSM) calculations using renormalization group evolved low-momentum two-nucleon interactions is studied for light nuclei up to Li-7. Because no additional transformation was used in applying the NCSM…

Nuclear Theory · Physics 2008-11-26 S. K. Bogner , R. J. Furnstahl , P. Maris , R. J. Perry , A. Schwenk , J. P. Vary

The nonmesonic weak decay spectra of light hypernuclei have been evaluated in a systematic way. As theoretical framework we adopt the independent particle shell model with three different one-meson-exchange transition potentials. Good…

Nuclear Theory · Physics 2014-07-18 Franjo Krmpotić

In the present article, we introduce a model to investigate the energy spectrum of a relativistic rotor by considering the Klein-Gordon Hamiltonian. Rotational spectral lines are a signature of homonuclear and heteronuclear systems and play…

Quantum Physics · Physics 2007-05-23 Nagalakshmi A. Rao , B. A. Kagali

A discrete-to-continuum analysis for free-boundary problems related to crystalline films deposited on substrates is performed by $\Gamma$-convergence. The discrete model here introduced is characterized by an energy with two contributions,…

Analysis of PDEs · Mathematics 2019-02-19 Leonard Kreutz , Paolo Piovano

We study two Hamiltonian models, based on infrared approximations which render them solvable, in order to obtain an operator formulation of the soft-photon corrections to the scattering of a single electron, as given in Quantum…

Mathematical Physics · Physics 2014-11-11 Simone Zerella

We study a particular class of relativistic nuclear energy density functionals in which only nucleon degrees of freedom are explicitly used in the construction of effective interaction terms. Short-distance (high-momentum) correlations, as…

Nuclear Theory · Physics 2008-11-26 T. Niksic , D. Vretenar , P. Ring

Supplementing the Liquid Drop Model (LDM) Hamiltonian, written in the intrinsic reference frame, with a sextic oscillator plus a centrifugal term in the variable $\beta$ and a potential in $\gamma$ with a minimum in $\frac{\pi}{6}$, the…

Nuclear Theory · Physics 2015-05-30 A. A. Raduta , P. Buganu , Amand Faessler

Background: The Po, Pb, Hg, and Pt region is known for the presence of coexisting structures that correspond to different particle-hole configurations in the Shell Model language or equivalently to nuclear shapes with different deformation.…

Nuclear Theory · Physics 2015-06-18 J. E. Garcia-Ramos , K. Heyde

We study the binding energies of spin-isospin saturated nuclei with nucleon number $8 \le A \le 100$ in semiclassical Monte Carlo many-body simulations. The model Hamiltonian consists of, (i) nucleon kinetic energy, (ii) a nucleon-nucleon…

Nuclear Theory · Physics 2008-11-26 M. Angeles Perez-Garcia , K. Tsushima , A. Valcarce

The rotational damping width \Gamma_{rot} and the compound damping width \Gamma_{comp} are two fundamental quantities that characterize rapidly rotating compound nuclei having finite thermal excitation energy. A two-component structure in…

Nuclear Theory · Physics 2009-11-07 M. Matsuo , S. Leoni , C. Grassi , E. Vigezzi , A. Bracco , T. Dossing , B. Herskind

Rotational bands with (neutron h_11/2)^1 (proton h_11/2)^1 configurations are studied using a particle-rotor model in which a proton and a neutron quasiparticles interacting through a zero-range force are coupled with a triaxial rotor. It…

Nuclear Theory · Physics 2009-10-22 N. Tajima

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 structures, the electromagnetic transitions, and the beta decay strengths of exotic nuclei are investigated within an extended cluster model. We start by deriving an effective nuclear Hamiltonian within the $S_2$ correlation operator.…

Nuclear Theory · Physics 2017-08-23 M. Tomaselli , T. Kühl , D. Ursescu , S. Fritzsche

The heavy-ion fusion reactions induced by neutron-rich nuclei are investigated with the improved quantum molecular dynamics (ImQMD) model. With a subtle consideration of the neutron skin thickness of nuclei and the symmetry potential, the…

Nuclear Theory · Physics 2015-06-19 Ning Wang , Li Ou , Yingxun Zhang , Zhuxia Li

We consider an electronic bound state of the usual, non-relativistic, molecular Hamiltonian with Coulomb interactions, fixed nuclei, and N electrons (N>1). Near appropriate electronic collisions, we prove that the (N-1)-particle electronic…

Mathematical Physics · Physics 2024-11-22 Thierry Jecko , Camille Noûs

We consider collisional properties of weakly bound heteronuclear molecules (dimers) formed in a two-species mixture of atoms with a large mass difference. We focus on dimers containing light fermionic atoms as they manifest collisional…

Statistical Mechanics · Physics 2008-03-15 B. Marcelis , S. J. J. M. F. Kokkelmans , G. V. Shlyapnikov , D. S. Petrov

The problem of the low-energy highly-anharmonic quantum dynamics of isolated impurities in solids is addressed by using path-integral Monte Carlo simulations. Interstitial oxygen in silicon is studied as a prototypical example showing such…

Condensed Matter · Physics 2009-10-28 Rafael Ramirez , Carlos P. Herrero , Emilio Artacho , Felix Yndurain