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The lowest order constrained variational method is applied to calculate the polarized symmetrical nuclear matter properties with the modern $AV_{18}$ potential performing microscopic calculations. Results based on the consideration of…

Nuclear Theory · Physics 2008-11-26 G. H. Bordbar , M. Bigdeli

The structure of the interaction Hamiltonian in the first order $S-$matrix element of a Dirac particle in an Aharonov-Bohm (AB) field is analyzed and shown to have interesting algebraic properties. It is demonstrated that as a consequence…

High Energy Physics - Theory · Physics 2007-05-23 M. S. Shikakhwa

The electromagnetic form factors of the trinucleons 3H and 3He are calculated with wave functions obtained with the Argonne AV18 two-nucleon and Urbana IX three-nucleon interactions. Full account is taken of the two-body currents required…

Nuclear Theory · Physics 2016-09-08 L. E. Marcucci , D. O. Riska , R. Schiavilla

We evaluate the {\em three-dimensional}, {\em non-axis-symmetric}, {\em time-dependent} Newton potential generated by a pair of mutually orbiting objects such as pairs of ordinary or neutron stars and, in some approximations, black holes,…

General Relativity and Quantum Cosmology · Physics 2023-05-09 Renato Spigler

If the origin of neutrino mass is at the TeV energy scale, collider experiments may in fact {\it map out} all the elements of the $3 \times 3$ neutrino mass matrix, up to an overall scale. Two examples \cite{mrs,ma01} are discussed and one…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ernest Ma

The analysis of correlation energy of the simplest first approximation of a variational method for the intrashell states of two-electron atoms is the purpose of the present work. This method allows to divide energy of atom on Coulomb and…

Atomic Physics · Physics 2008-10-23 V. V. Kavera

We calculate the energies of ground and three low lying excited states of confined helium atom centered in an impenetrable spherical box. We perform the calculation by employing variational method with two-parameter variational forms for…

Atomic Physics · Physics 2009-11-11 Arup Banerjee , C. Kamal , Avijit Chowdhury

The quantum many-body problem can be rephrased as a variational determination of the two-body reduced density matrix, subject to a set of N-representability constraints. The mathematical problem has the form of a semidefinite program. We…

Strongly Correlated Electrons · Physics 2011-10-27 B. Verstichel , H. van Aggelen , D. Van Neck , P. Bultinck , S. De Baerdemacker

We show how the two-body potential may be uniquely determined from n-body spectra where the hypercentral approximation is valid. We illustrate this by considering an harmonic oscillator potential which has been altered by changing the…

Nuclear Theory · Physics 2009-10-22 E. J. O. Gavin , H. Leeb , H. Fiedeldey

Response functions, differential cross sections and total cross sections for several (anti)neutrino induced reactions on 2H, 3He and 3H are calculated in momentum space for (anti)neutrino energies up to 160 MeV, using the AV18…

Nuclear Theory · Physics 2020-01-01 J. Golak , R. Skibinski , K. Topolnicki , H. Witala , A. Grassi , H. Kamada , L. E. Marcucci

Two independent calculations of proton-deuteron elastic scattering observables including Coulomb repulsion between the two protons are compared in the proton lab energy region between 3 MeV and 65 MeV. The hadron dynamics is based on the…

Nuclear Theory · Physics 2009-11-11 A. Deltuva , A. C. Fonseca , A. Kievsky , S. Rosati , P. U. Sauer , M. Viviani

Microscopic calculations based on realistic nuclear hamiltonians, while yielding accurate results for the energies of the ground and low-lying excited states of nuclei with $A \leq 12$, fail to reproduce the empirical equilibrium properties…

We first propose a pedestrian review of the Coordinate Bethe Ansatz for the $\delta$-Bose gas on an infinite axis. The scalar product of Bethe states, briefly reviewed, provides the first keystone to compute a compact expression for the…

Mathematical Physics · Physics 2017-12-13 Benoit Vallet

In order to establish a link between the activation map and the body surface signals, we want to compute body potentials from activation maps and a frontlike approximation of the activation of the heart. To do so, two formulations that map…

Analysis of PDEs · Mathematics 2024-01-25 Emma Lagracie , Lisl Weynans , Yves Coudière

Microscopic nuclear structure calculations have been performed within the framework of the unitary-model-operator approach. Ground-state and single-particle energies are calculated for nuclei around ^{14}C, ^{16}O and ^{40}Ca with modern…

Nuclear Theory · Physics 2009-11-11 S. Fujii , R. Okamoto , K. Suzuki

Two-particle angular correlation is one of the most powerful tools to study the mechanism of particle production in proton--proton (pp) collision systems by relating the difference between the azimuthal angle ($\Delta\varphi$) and the…

Nuclear Experiment · Physics 2024-02-14 Daniela Ruggiano

We present explicit analytical formulae for two-body matrix elements between Pauli-projected single-particle orbits generated by gaussians shifted from the centre of a nuclear core, which is populated by nucleons occupying…

Nuclear Theory · Physics 2007-05-23 K. Varga

We study the relevance of the energy correlation produced by the two-body spin-orbit coupling present in realistic nucleon-nucleon potentials. To this purpose, the neutron matter Equation of State (EoS) is calculated with the realistic…

Nuclear Theory · Physics 2009-11-10 M. Baldo , C. Maieron

The current status of calculations of simple nucleon structure observables is reviewed, with a focus on the axial charge. A major challenge is the combination of an exponentially decaying signal-to-noise ratio and the need for large…

High Energy Physics - Lattice · Physics 2018-12-31 Jeremy Green

We present calculations of the energy per particle of pure neutron and symmetric nuclear matter with simplified Argonne nucleon-nucleon potentials for different many-body theories. We compare critically the Brueckner-Hartree-Fock results to…

Nuclear Theory · Physics 2015-06-05 M. Baldo , A. Polls , A. Rios , H. -J. Schulze , I. Vidana
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