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Starting from a complete set of relativistic nucleon-nucleon contact operators up to order $O(p^4)$ of the expansion in the soft (relative or nucleon) momentum $p$, we show that non-relativistic expansions of relativistic operators involve…

Nuclear Theory · Physics 2024-04-18 E. Filandri , L. Girlanda , A. Kievsky , L. E. Marcucci , M. Viviani

The fundamental description of both structural properties and reactions of light nuclei in terms of constituent protons and neutrons interacting through nucleon-nucleon and three-nucleon forces is a long-sought goal of nuclear theory. I…

We consider moderately interacting particle systems with singular interaction kernel and environmental noise. It is shown that the mollified empirical measures converge in strong norms to the unique (local) solutions of nonlinear…

Probability · Mathematics 2023-05-05 Shuchen Guo , Dejun Luo

The electromagnetic(EM) interactions between charged protons on the correlations of nucleons are discussed by introducing the Anderson-Higgs mechanism of broken U(1) EM symmetry into the relativistic nuclear theory with a parametric photon…

Nuclear Theory · Physics 2016-09-08 Ji-sheng Chen , Jia-rong Li , Meng Jin

We introduce a general framework to construct multi-emission kernels for parton branching algorithms at the amplitude level and across different soft and collinear limits. We highlight the connection of kinematic parameterizations and…

High Energy Physics - Phenomenology · Physics 2021-12-30 Maximilian Löschner , Simon Plätzer , Emma Simpson Dore

Two types of average neutron-proton interaction formulas are compared: In the first type, neutron-proton interactions for even-even and odd-$A$ nuclei extracted from experimental binding energies show a smooth behavior as a function of mass…

Nuclear Theory · Physics 2016-03-30 Zheying Wu , S. A. Changizi , Chong Qi

Many-body techniques for the calculation of quasielastic nuclear matter response functions in the fully antisymmetrized random phase approximation on a Hartree-Fock basis are discussed in detail. The methods presented here allow for an…

Nuclear Theory · Physics 2009-10-31 A. De Pace

The effective interaction between two classical nonrelativistic electrons (positrons) in the presence of intense electromagnetic radiation (one and two waves) is theoretically studied. Small relativistic corrections are taking into account…

Plasma Physics · Physics 2020-01-08 S. S. Starodub , S. P. Roshchupkin , V. V. Dubov

Recently the nucleon-nucleon interaction derived using time-ordered perturbation theory in manifestly Lorentz-invariant chiral effective field theory was shown to yield promising results for peripheral neutron-proton scattering. In this…

Nuclear Theory · Physics 2026-05-13 Xiu-Lei Ren , E. Epelbaum , J. Gegelia

Both relativistic and non-relativistic two-fluid models of neutron star cores are constructed, using the constrained variational formalism developed by Brandon Carter and co-workers. We consider a mixture of superfluid neutrons and…

Astrophysics · Physics 2008-08-05 N. Chamel

An improved model of the multiple Dirac eikonal scattering of proton on nucleons of the target nucleus is considered. In this model, the amplitudes of elastic $p-A$ scattering are found on the basis of the Watson series of multiple…

Nuclear Theory · Physics 2020-12-04 V. V. Pilipenko , V. I. Kuprikov

Properties of nucleon and $\Delta$ resonances are derived from a multichannel partial wave analysis. The statistical significance of pion and photo-induced inelastic reactions off protons are studied in a multichannel partial-wave analysis.

High Energy Physics - Phenomenology · Physics 2015-06-03 A. V. Anisovich , R. Beck , E. Klempt , V. A. Nikonov , A. V. Sarantsev , U. Thoma

We study the nucleon-nucleon (NN) problem as a six-quark system in a nonrelativistic chiral constituent quark model where the Hamiltonian contains a linear confinement and a pseudoscalar meson (Goldstone boson) exchange interaction between…

Nuclear Theory · Physics 2009-10-31 D. Bartz , Fl. Stancu

In this paper we are concerned with the learnability of nonlocal interaction kernels for first order systems modeling certain social interactions, from observations of realizations of their dynamics. This paper is the first of a series on…

Dynamical Systems · Mathematics 2016-02-17 Mattia Bongini , Massimo Fornasier , Markus Hansen , Mauro Maggioni

Relativistic, electrically neutral point-particles can be given mathematical foundation by doing a careful accounting of self-interaction energies. In this paper we examine a self-interaction parameter and present a continuous framework…

General Relativity and Quantum Cosmology · Physics 2017-08-29 Iva Stavrov Allen

It has been shown for the first time that $NN$ interaction, at least in some partial waves, can be quantitatively described by the superposition of a long-range one-pion exchange and a short-range mechanism based on the complex pole in the…

Nuclear Theory · Physics 2020-03-18 V. I. Kukulin , V. N. Pomerantsev , O. A. Rubtsova , M. N. Platonova

Systems of interacting particles or agents have wide applications in many disciplines such as Physics, Chemistry, Biology and Economics. These systems are governed by interaction laws, which are often unknown: estimating them from…

Machine Learning · Statistics 2020-07-16 Fei Lu , Mauro Maggioni , Sui Tang

We construct accurate models of three-nucleon (3N) interaction by fitting, in a hybrid phenomenological approach, the low-energy constants parametrizing the subleading 3N contact operators to the triton binding energy, n-d scattering…

Nuclear Theory · Physics 2019-05-29 L. Girlanda , A. Kievsky , M. Viviani , L. E. Marcucci

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 analyzed pattern formation and identified different phases in a system of particles interacting through a non-monotonic short-range repulsive (r<r_c) and long-range attractive (r>r_c) potential, using molecular-dynamics simulations.…

Soft Condensed Matter · Physics 2011-07-05 H. J. Zhao , V. R. Misko , F. M. Peeters