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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 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

We study relativistic corrections to nuclear interactions caused by boosting the two-nucleon interaction to a frame in which their total momentum does not vanish. These corrections induce a change in the computed value of the…

Nuclear Theory · Physics 2008-11-26 G. A. Miller , A. Schwenk

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

Relativistic Hamiltonians are defined as the sum of relativistic one-body kinetic energy, two- and three-body potentials and their boost corrections. In this work we use the variational Monte Carlo method to study two kinds of relativistic…

Nuclear Theory · Physics 2014-11-18 J. L. Forest , V. R. Pandharipande , A. Arriaga

An updated and improved version of the effective interaction based on the Argonne\textendash Urbana nuclear Hamiltonian\textemdash derived using the formalism of Correlated Basis Functions (CBF) and the cluster expansion…

Nuclear Theory · Physics 2017-11-08 Omar Benhar , Alessandro Lovato

The relativistic amplitude for the direct knock-out contribution to $\left( \gamma, p \right)$ reactions on nuclei is reduced to a nonrelativistic form using an effective Pauli reduction scheme. The reduction is carried out to second order…

Nuclear Theory · Physics 2009-10-28 M. Hedayati-Poor , J. I. Johansson , H. S. Sherif

Relativistic effects are investigated in nuclear matter calculations employing renormalized low-momentum nucleon-nucleon ($NN$) interactions. It is demonstrated that the relativistic effects cure a problem of non-relativistic low-momentum…

Nuclear Theory · Physics 2009-11-06 E. N. E. van Dalen , H. Müther

The nucleus-nucleus interaction potential has been studied within the relativistic mean field theory. The systematics of the relativistic effects have been investigated by analyzing the relation between the potential and the bombarding…

Nuclear Theory · Physics 2011-02-23 Wen Hui Long , Carlos A. Bertulani

We aim to describe the cluster states of nuclear systems starting with a realistic interaction, which is a challenge of modern nuclear theories. Here, the short-range correlation of realistic interaction is treated by employing the damping…

Nuclear Theory · Physics 2020-03-20 Naoyuki Itagaki , Tokuro Fukui , Akihiro Tohsaki

We extended the study of relativistic effects in neutron-deuteron scattering to the exclusive breakup. To this aim we solved the three-nucleon Faddeev equation including such relativistic features as relativistic kinematics and boost…

Nuclear Theory · Physics 2009-11-11 R. Skibinski , H. Witala , J. Golak

A new non-relativistic expansion in terms of the nucleon's momentum inside nuclear matter of the current for isobar electro-excitation from the nucleon is performed. Being exact with respect to the transferred energy and momentum, this…

Nuclear Theory · Physics 2008-11-26 J. E. Amaro , M. B. Barbaro , J. A. Caballero , T. W. Donnelly , A. Molinari

A Lorentz boosted two-nucleon potential is introduced in the context of equal time relativistic quantum mechanics. The dynamical input for the boosted nucleon-nucleon (NN) potential is based on realistic NN potentials, which by a suitable…

Nuclear Theory · Physics 2009-11-07 H. Kamada , W. Gloeckle , J. Golak , Ch. Elster

We demonstrate the importance of relativistic corrections for the study of the stability of $(2+1)$-dimensional non-topological solitons with quartic self-interaction in the low-energy limit. This result is explained by the restoration of…

High Energy Physics - Theory · Physics 2025-10-09 Yulia Galushkina , Eduard Kim , Emin Nugaev , Yakov Shnir

An ab-initio description of atomic nuclei that solves the nuclear many-body problem for realistic nuclear forces is expected to possess a high degree of predictive power. In this contribution we treat the main obstacle, namely the…

Nuclear Theory · Physics 2017-08-23 Hans Feldmeier , Thomas Neff , Robert Roth

The status of relativistic nuclear many-body calculations of nuclear systems to be built up in terms of protons and neutrons is reviewed. In detail, relativistic effects on several aspects of nuclear matter such as the effective mass,…

Nuclear Theory · Physics 2015-03-13 E. N. E. van Dalen , H. Müther

Relativistic magnetic hyperfine interaction Hamiltonian based on the Douglas-Kroll-Hess (DKH) theory up to the second order is implemented within the ab initio multireference methods including spin-orbit coupling in the Molcas/OpenMolcas…

Materials Science · Physics 2023-09-19 Aleksander L. Wysocki , Kyungwha Park

We analyze relativistic effects in transverse momentum using Quantum Molecular Dynamics [QMD] and its covariant extension Relativistic Quantum Molecular Dynamics [RQMD]. The strength of the relativistic effects is found to increase with the…

Nuclear Theory · Physics 2016-09-08 Rajeev K. Puri , E. Lehmann , Amand Faessler , S. W. Huang

We present a perturbative triples correction to the relativistic quadratic unitary coupled cluster singles and doubles (qUCCSD) method, denoted as qUCCSD[T]. The method builds upon the Hermitian structure of the unitary ansatz and employs a…

Chemical Physics · Physics 2025-10-08 Kamal Majee , Ján Šimunek , Jozef Noga , Achintya Kumar Dutta

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
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