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In this work we set up a model Hamiltonian to study the excited state quantum dynamics of 1,1-difluoroethylene, a molecule that has equivalent atoms exchanged by a torsional symmetry operation leading to equivalent minima on the potential…

Chemical Physics · Physics 2023-06-07 Sandra Gómez , Nadja Singer , Leticia González , Graham Worth

The interacting boson-fermion model (IBFM), with parameters determined from the microscopic Hartree-Fock-Bogoliubov (HFB) approximation, based on the parametrization D1M of the Gogny energy density functional (EDF), is employed to study the…

Nuclear Theory · Physics 2017-12-27 K. Nomura , R Rodríguez-Guzmán , L. M. Robledo

We present an extension of the Hamiltonian of the two dimensional limit of the vibron model encompassing all possible interactions up to four-body operators. We apply this Hamiltonian to the modeling of the experimental bending spectrum of…

Chemical Physics · Physics 2021-03-17 Jamil Khalouf-Rivera , Francisco Pérez-Bernal , Miguel Carvajal

A multiconfiguration microscopic method has been applied with the Gogny effective interaction to the calculation of low-lying positive-parity states in even-even $^{26-28}$Si isotopes. The aim of the study is to compare the results of this…

Nuclear Theory · Physics 2015-05-30 N. Pillet , V. G. Zelevinsky , M. Dupuis , J. -F. Berger , J. -M. Daugas

Equation of state of uncharged bosonic matter is studied within a field-theoretical approach in the mean-field approximation. Interaction of bosons is described by a scalar field $\sigma$ with a Skyrme-like potential which contains both…

High Energy Physics - Phenomenology · Physics 2024-12-31 Leonid M. Satarov , Igor N. Mishustin , Horst Stoecker

We study the large-N limit of a system of N bosons interacting with a potential of intensity 1/N. When the ground state energy is to the first order given by Hartree's theory, we study the next order, predicted by Bogoliubov's theory. We…

Mathematical Physics · Physics 2014-03-12 Mathieu Lewin , Phan Thành Nam , Sylvia Serfaty , Jan Philip Solovej

We apply the bosonization technique to derive the phase diagram of a balanced unit density two-component dipolar Fermi gas in a one dimensional lattice geometry. The considered interaction processes are of the usual contact and dipolar…

Strongly Correlated Electrons · Physics 2017-12-13 Serena Fazzini , Luca Barbiero , Arianna Montorsi

As is well-known, in the conventional formulation of Bogoliubov's theory of an interacting Bose gas, the Hamiltonian $\hat{H}$ is written as a decoupled sum of contributions from different momenta of the form $\hat{H} = \sum_{k\neq…

Statistical Mechanics · Physics 2017-02-01 A. M. Ettouhami

A new formalism to calculate electronic states of vacancies in diamond has been developed using many-body techniques.This model is based on prevoius molecular models but does not use configuration interaction and molecular orbital…

Materials Science · Physics 2007-05-23 Mehdi Heidari Saani , Mohammad Ali Vesaghi , Keivan Esfarjani

We propose a simple systematics of low lying 2+ energy levels and electromagnetic transitions in semi-magic isotopic chains Z=28,50,82 and isotonic chains N=28,50,82,126. To this purpose we use a two-level pairing plus quadrupole…

Nuclear Theory · Physics 2014-11-21 D. S. Delion , N. V. Zamfir

We consider a few number of identical bosons trapped in a 2D isotropic harmonic potential and also the $N$-boson system when it is feasible. The atom-atom interaction is modelled by means of a finite-range Gaussian interaction. The spectral…

Quantum Gases · Physics 2017-10-25 Pere Mujal , Enric Sarlé , Artur Polls , Bruno Juliá-Díaz

We present a new Gogny-type finite-range effective interaction including a third Gaussian in the central term. Based on simple arguments valid for an arbitrary radial form factor, the three ranges are fixed from physical grounds, relating…

Nuclear Theory · Physics 2023-08-16 L. Batail , D. Davesne , S. Péru , P. Becker , A. Pastore , J. Navarro

This paper explores a system of interacting `soft core' bosons in the Gross-Pitaevskii mean-field approximation in a random Bernoulli potential. First, a condition for delocalization of the ground state wave function is proved which depends…

Mathematical Physics · Physics 2015-06-12 Michael Bishop , Jan Wehr

We show that chains of interacting Fibonacci anyons can support a wide variety of collective ground states ranging from extended critical, gapless phases to gapped phases with ground-state degeneracy and quasiparticle excitations. In…

Statistical Mechanics · Physics 2008-07-30 Simon Trebst , Eddy Ardonne , Adrian Feiguin , David A. Huse , Andreas W. W. Ludwig , Matthias Troyer

A sixth-order quadrupole boson Hamiltonian is used to describe the states $0^+$ and $2^+$ identified in several nuclei by various types of experiments. Two alternative descriptions of energy levels are proposed. One corresponds to a…

Nuclear Theory · Physics 2009-04-03 A. A. Raduta , F. D. Aaron , E. Moya de Guerra , Amand Faessler

The structure of even-even neutron-rich Ru, Mo, Zr and Sr nuclei in the $A\approx 100$ mass region is studied within the interacting boson model (IBM) with microscopic input from the self-consistent mean-field approximation based on the…

Nuclear Theory · Physics 2016-10-21 K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo

The Hadron-Resonance Gas (HRG) approach - used to model hadronic matter at small baryon potentials $\mu_B$ and finite temperature $T$ - is extended to finite and large chemical potentials by introducing interactions between baryons in line…

High Energy Physics - Phenomenology · Physics 2018-07-25 Thorsten Steinert , Wolfgang Cassing

We provide a prescription for constructing Hamiltonians representing the low energy physics of correlated electron materials with dynamically screened Coulomb interactions. The key feature is a renormalization of the hopping and…

Strongly Correlated Electrons · Physics 2014-12-16 M. Casula , Ph. Werner , L. Vaugier , F. Aryasetiawan , A. J. Millis , S. Biermann

We introduce a generalized Hamiltonian Mean Field Model (gHMF)-XY model with both linear and quadratic coupling between spins and explicit Hamiltonian dynamics. In addition to the usual paramagnetic and ferromagnetic phases, this model also…

Statistical Mechanics · Physics 2013-05-14 Tarcísio N. Teles , Fernanda Benetti , Renato Pakter , Yan Levin

The generalized Bohr Hamiltonian is applied to a description of low-lying collective excitations in even-even isotopes of Te, Xe, Ba, Ce, Nd and Sm. The collective potential and inertial functions are determined by means of the Strutinsky…

Nuclear Theory · Physics 2009-11-05 L. Prochniak , K. Zajac , K. Pomorski , S. G. Rohozinski , J. Srebrny