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A variational solution procedure is reported for the many-particle no-pair Dirac-Coulomb-Breit Hamiltonian aiming at a parts-per-billion (ppb) convergence of the atomic and molecular energies, described within the fixed nuclei…

Quantum Physics · Physics 2024-06-19 Péter Jeszenszki , Dávid Ferenc , Edit Mátyus

The $^3{\rm H}(d,n)^4{\rm He}$ reaction is of significant interest in nuclear astrophysics and nuclear applications. It is an important, early step in big-bang nucleosynthesis and a key process in nuclear fusion reactors. We use one- and…

Nuclear Theory · Physics 2022-02-09 Daniel Odell , Carl Brune , Daniel Phillips

A microscopic calculation of the equation of state for asymmetric nuclear matter is presented. We employ realistic nucleon-nucleon forces and operate within the Dirac-Brueckner-Hartree-Fock approach to nuclear matter. The focal point of…

Nuclear Theory · Physics 2011-07-18 D. Alonso , F. Sammarruca

We investigate homogeneous nuclear matter within the Brueckner-Hartree-Fock (BHF) approach in the limits of isospin-symmetric nuclear matter (SNM) as well as pure neutron matter at zero temperature. The study is based on realistic…

Nuclear Theory · Physics 2016-11-03 H. F. Arellano , Felipe Isaule , Arnau Rios

A relativistic extension of the particle-particle hole-hole ring-diagram many-body formalism is developed by using the Dirac equation for single-particle motion in the medium. Applying this new formalism, calculations are performed for…

Nuclear Theory · Physics 2008-11-26 M. F. Jiang , R. Machleidt , T. T. S. Kuo

Separable nucleon-nucleon potentials are calculated using inverse scattering techniques as presented in previously published work. The dependence of the potentials on the momentum cut-off of the scattering phase-shifts is studied. Some…

Nuclear Theory · Physics 2007-05-23 H. S. Kohler

We study the numerical solutions of the Dicke Hamiltonian, which describes a system of many two level atoms interacting with a monochromatic radiation field into a cavity. The Dicke model is an example of a quantum collective behavior which…

Quantum Physics · Physics 2011-08-04 Miguel A. Bastarrachea-Magnani , Jorge G. Hirsch

For the coefficients of the amplitude a set of simultaneous equations is derived in momentum space. By the auxiliary conditions they are equivalent to nonrelativistic equations and suitable for the investigation of two-nucleon system.

Nuclear Theory · Physics 2016-09-13 Susumu Kinpara

In order to simulate the relativistic effects of the Dirac Brueckner Hartree Fock approach for finite nuclei the part of the Urbana 3 nucleon (3N) force is considered, which represents the enhancement of the small components of the Dirac…

Nuclear Theory · Physics 2015-10-07 A. H. Lippok , H. Müther

We present a fast direct solver for two dimensional scattering problems, where an incident wave impinges on a penetrable medium with compact support. We represent the scattered field using a volume potential whose kernel is the outgoing…

Numerical Analysis · Mathematics 2015-05-28 Sivaram Ambikasaran , Carlos Borges , Lise-Marie Imbert-Gerard , Leslie Greengard

We present a theoretical analysis of three-dimensional (3D) matter-wave solitons and their stability properties in coupled atomic and molecular Bose-Einstein condensates (BEC). The soliton solutions to the mean-field equations are obtained…

Other Condensed Matter · Physics 2009-11-10 T. G. Vaughan , K. V. Kheruntsyan , P. D. Drummond

Nucleon matters are studied based on QCD. We extract nucleon-nucleon interaction from lattice QCD simulations in a recently developed approach, and then derive the equations of state of the symmetric nuclear matter and the pure neutron…

High Energy Physics - Lattice · Physics 2013-11-26 Takashi Inoue , for HAL QCD Collaboration

This paper presents a new approach which uses the tools within Artificial Intelligence (AI) software libraries as an alternative way of solving partial differential equations (PDEs) that have been discretised using standard numerical…

Computational Engineering, Finance, and Science · Computer Science 2025-02-13 T. R. F. Phillips , C. E. Heaney , C. Boyang , A. G. Buchan , C. C. Pain

A second-order supersymmetric transformation is presented, for the two-channel Schr\"odinger equation with equal thresholds. It adds a Breit-Wigner term to the mixing parameter, without modifying the eigenphase shifts, and modifies the…

Nuclear Theory · Physics 2011-04-20 Andrey Pupasov , Boris F. Samsonov , Jean-Marc Sparenberg , Daniel Baye

We present a simple description of pion-nucleon ($\pi N$) scattering taking into account the full complexity of pion absorption and creation on the nucleon. To do this we solve Dyson-Schwinger equations within the framework of Time-Ordered…

Nuclear Theory · Physics 2021-02-10 B. Blankleider , J. L. Wray , A. N. Kvinikhidze

We investigate the two-dimensional modified Gross-Pitaevskii equation, accounting for the effects of atom gain/loss and a time-independent isotropic confining potential, utilizing the Hirota's bilinear method. Through an appropriate…

Quantum Gases · Physics 2025-04-29 C. E. Nkenfack , O. T. Lekeufack , S. Sabari , R. Yamapi , T. C. Kofane

We present a computer program which solves the Schrodinger equation of the stationary states for an average nuclear potential of Woods-Saxon type. In this work, we take specifically into account triaxial (i.e. ellipsoidal) nuclear surfaces.…

Nuclear Theory · Physics 2015-06-04 B. Mohammed-Azizi , D. E. Medjadi

Path integral-based simulation methodologies play a crucial role for the investigation of nuclear quantum effects by means of computer simulations. However, these techniques are significantly more demanding than corresponding classical…

Statistical Mechanics · Physics 2018-01-17 Karsten Kreis , Kurt Kremer , Raffaello Potestio , Mark E. Tuckerman

Level densities are often parametrized using the back-shifted Bethe formula (BBF) for nuclei that possess experimental data for s-wave neutron resonance average spacings and a complete discrete level sequence at low excitation energies.…

Nuclear Theory · Physics 2025-03-13 C. Özen , Y. Alhassid

WavePacket is an open-source program package for the numerical simulation of quantum-mechanical dynamics. It can be used to solve time-independent or time-dependent linear Schr\"odinger and Liouville-von Neumann-equations in one or more…

Quantum Physics · Physics 2023-02-09 Burkhard Schmidt , Ulf Lorenz
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