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Based on the leading-order covariant pionless effective field theory, a relativistic nuclear Hamiltonian is derived and solved using the variational Monte Carlo approach for $A\le 4$ nuclei by representing the nuclear many-body wave…

Nuclear Theory · Physics 2022-11-24 Y. L. Yang , P. W. Zhao

In relativistic Hamiltonians the two-nucleon interaction is expressed as a sum of $\tilde{v}_{ij}$, the interaction in the ${\bf P}_{ij}=0$ rest frame, and the ``boost interaction'' $\delta v({\bf P}_{ij})$ which depends upon the total…

Nuclear Theory · Physics 2009-10-28 J. L. Forest , V. R. Pandharipande , J. Carlson , R. Schiavilla

Relativistic Hamiltonians are defined as the sum of relativistic one-body kinetic energies, two- and many-body interactions and their boost corrections. We review the calculation of the boost correction of the two-body interaction from…

Nuclear Theory · Physics 2009-09-25 J. L. Forest , V. R. Pandharipande , J. L. Friar

We discuss the inclusion of relativistic boost corrections into the CBF effective nuclear Hamiltonian, derived from a realistic model of two- and three-nucleon interactions using the formalism of correlated basis functions and the cluster…

Nuclear Theory · Physics 2024-12-04 Andrea Sabatucci , Omar Benhar , Alessandro Lovato

We formulate an approximate relativistic framework for an analysis of the 3He(e,e'p)pn and 3He(e,e'n)pp reactions with polarized electrons and 3He in the initial state. Restricting the rescattering series to one term linear in the…

Nuclear Theory · Physics 2008-11-26 J. Golak , R. Skibinski , H. Witala , W. Gloeckle , A. Nogga , H. Kamada

In most simulations of nonrelativistic nuclear systems, the wave functions found solving the many-body Schr\"odinger equations describe the quantum-mechanical amplitudes of the nucleonic degrees of freedom. In those simulations the pionic…

Nuclear Theory · Physics 2018-10-01 Lucas Madeira , Alessandro Lovato , Francesco Pederiva , Kevin E. Schmidt

The hyperfine interaction constants of the 2p4(3P)3p 2Do_{3/2,5/2}, 4Do_{1/2-7/2} and 4Po_{1/2-5/2} levels in neutral fluorine are investigated theoretically. Large-scale calculations are carried out using the multiconfiguration…

Atomic Physics · Physics 2015-06-16 Thomas Carette , Messaoud Nemouchi , Jiguang Li , Michel Godefroid

Variational Monte-Carlo calculations are carried out for ${_{\Lambda\Lambda}^4}H$ to explore on the possibility of its existence, using realistic NN, NNN, and phenomenological {\Lambda}N and {\Lambda}NN interactions. We also perform…

Nuclear Theory · Physics 2025-02-27 Bhupali Sharma

Trinucleon longitudinal response functions R_L(q,omega) are calculated for q values up to 500 MeV/c. These are the first calculations beyond the threshold region in which both three-nucleon (3N) and Coulomb forces are fully included. We…

Nuclear Theory · Physics 2009-11-10 Victor D. Efros , Winfried Leidemann , Giuseppina Orlandini , Edward L. Tomusiak

The relativistic wave function of $^3$He nucleus is calculated in the framework of Light-Front Dynamics. It is determined by 32 spin-isospin components, each of which depends on five scalar variables. For NN interaction, the one-boson…

Nuclear Theory · Physics 2026-02-03 Zhimin Zhu , Ziqi Zhang , Kaiyu Fu , V. A. Karmanov

In this paper we analyze the relativistic corrections to the leading order three-nucleon (3N) contact interactions. These boost corrections are derived first from the nonrelativistic reduction of covariant Lagrangians and later from the…

Nuclear Theory · Physics 2023-08-28 Alessia Nasoni , Elena Filandri , Luca Girlanda

Proton-deuteron radiative capture and two- and three-body photodisintegration of 3He at low energy are described using realistic hadronic dynamics and including the Coulomb force. The sensitivity of the observables to the relativistic…

Nuclear Theory · Physics 2010-03-17 A. Deltuva , A. C. Fonseca , P. U. Sauer

Two-nucleon momentum distributions are calculated for the ground states of 3He and 4He as a function of the nucleons' relative and total momenta. We use variational Monte Carlo wave functions derived from a realistic Hamiltonian with two-…

Nuclear Theory · Physics 2008-11-26 R. B. Wiringa , R. Schiavilla , Steven C. Pieper , J. Carlson

In particle-based algorithms, the effect of binary collisions is commonly described in a statistical way, using Monte Carlo techniques. It is shown that, in the relativistic regime, stringent constraints should be considered on the sampling…

Plasma Physics · Physics 2009-11-13 F. Peano , M. Marti , L. O. Silva , G. Coppa

We calculate the contribution of relativistic dynamics on the neutron-deuteron scattering length and triton binding energy employing five sets trinucleon potential models and four types of three-dimensional relativistic three-body equations…

Nuclear Theory · Physics 2011-05-12 Sadhan K. Adhikari , Lauro Tomio

Path integral Monte Carlo approach is used to study the coupled quantum dynamics of the electron and nuclei in hydrogen molecule ion. The coupling effects are demonstrated by comparing differences in adiabatic Born--Oppenheimer and…

Chemical Physics · Physics 2008-12-29 I. Kylänpää , M. Leino , T. T. Rantala

An approximate relativistic two-component Hamiltonian for use in molecular electronic structure calculations is derived in the form of a sum of fixed atom-centered kinetic and spin-orbit operators added to the non-relativistic Hamiltonian.…

Chemical Physics · Physics 2019-02-13 Dimitri N. Laikov

Relativistic effects and the role of heavy meson exchange in deuteron photodisintegration are studied systematically for photon energies below the pion production threshold. In a (p/M)-expansion, all leading order relativistic one-body and…

Nuclear Theory · Physics 2009-10-30 F. Ritz , H. Arenhoevel , T. Wilbois

The role of the three-body interactions in the ground-states of 3H and 4He nuclei has been investigated by using two different methods. Accordingly, the ground-state nuclear wave functions, the binding energies, the root mean-square radii…

Nuclear Theory · Physics 2015-09-08 S. B. Doma , H. S. El-Gendy

A detailed study of the 4He longitudinal response function R_L(\omega,q) is performed at different kinematics, with particular emphasis on the role of three-nucleon forces. The effects shown are the results of an ab initio calculation where…

Nuclear Theory · Physics 2009-12-14 Sonia Bacca , Nir Barnea , Winfried Leidemann , Giuseppina Orlandini
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