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We present an effective field theory (EFT) for a model-independent description of deformed atomic nuclei. In leading order this approach recovers the well-known results from the collective model by Bohr and Mottelson. When higher-order…

Nuclear Theory · Physics 2016-04-14 T. Papenbrock , H. A. Weidenmüller

The nuclear lattice effective field theory (NLEFT) is an efficient tool for solving nuclear many-body problems, which takes high-fidelity lattice chiral interactions as input and computes nuclear low-energy observables via quantum Monte…

Nuclear Theory · Physics 2026-01-07 Chengxin Wu , Teng Wang , Bing-Nan Lu , Ning Li

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 propose a novel idea to construct an effective interaction under energy-density-functional (EDF) theories which is adaptive to the enlargement of the model space. Guided by effective field theory principles, iterations of interactions as…

Nuclear Theory · Physics 2022-07-22 C. J. Yang , W. G. Jiang , S. Burrello , M. Grasso

I describe the use of chiral effective theory (ChiET) to compute electromagnetic reactions in two- and three-nucleon systems. I first explain how chiral perturbation theory can be extended to the few-nucleon sector. I then explain the…

Nuclear Theory · Physics 2008-11-26 Daniel R. Phillips

Nuclear saturation and the symmetry energy are key properties of low-energy nuclear physics that depend on fine details of the nuclear interaction. The equation-of-state around saturation is also an important anchor for extrapolations to…

Nuclear Theory · Physics 2024-06-18 W. G. Jiang , C. Forssén , T. Djärv , G. Hagen

Using halo effective field theory (EFT), an expansion in $R_{core}/R_{halo}$, where $R_{core}$ is the radius of the core and $R_{halo}$ the radius of the halo nucleus, we calculate the charge and neutron form factors of the two-neutron halo…

Nuclear Theory · Physics 2017-02-22 Jared Vanasse

Studies of cold atom collisions and few-body interactions often require the energy dependence of the scattering phase shift, which is usually expressed in terms of an effective-range expansion. We use accurate coupled-channel calculations…

Quantum Gases · Physics 2014-04-25 Caroline L. Blackley , Paul S. Julienne , Jeremy M. Hutson

The two- and three-nucleon interaction derived in chiral effective field theory at next-to-next-to-leading order is used to obtain the binding energy of nuclear matter. Saturation is found at a binding energy per particle E/A = -16.2 \pm…

Nuclear Theory · Physics 2010-10-05 S. Krewald , E. Epelbaum , U. -G. Meißner , P. Saviankou

The effective interactions formed by neutron rescattering between the nuclei fixed in nodes of the crystalline lattice of neutron star crusts have been considered. In the case of two-body resonances in neutron-nucleus subsystems new neutron…

Nuclear Theory · Physics 2015-06-12 N. Takibayev , K. Kato , M. Takibayeva , A. Sarsembayeva , D. Nasirova

This study outlines a numerical methodology aimed at rectifying the neutron scattering cross-sections of fundamental elements across a range of low neutron energies typically employed in general neutron scattering experiments. By using the…

Data Analysis, Statistics and Probability · Physics 2023-09-28 Karrie E. An , Guan-Rong Huang , Changwoo Do , Wei-Ren Chen

We report a new microscopic equation of state (EOS) of dense symmetric nuclear matter, pure neutron matter, and asymmetric and $\beta$-stable nuclear matter at zero temperature using recent realistic two-body and three-body nuclear…

High Energy Astrophysical Phenomena · Physics 2018-05-31 Ignazio Bombaci , Domenico Logoteta

Spin-polarized neutron matter is studied using chiral two- and three-body forces. We focus, in particular, on predictions of the energy per particle in ferromagnetic neutron matter at different orders of chiral effective field theory and…

Nuclear Theory · Physics 2015-12-09 F. Sammarruca , R. Machleidt , N. Kaiser

For the low-energy anti-neutrino reaction, $\bar{\nu}_e + p \to e^+ + n$, which is of great current interest in connection with on-going high-precision neutrino-oscillation experiments, we calculate the differential cross section in a…

High Energy Physics - Phenomenology · Physics 2015-06-03 U. Raha , F. Myhrer , K. Kubodera

The four-body equations of Alt, Grassberger and Sandhas are solved for the neutron-${}^3$H scattering at energies above the four-nucleon breakup threshold. The accuracy and practical applicability of the employed complex energy method is…

Nuclear Theory · Physics 2012-11-13 A. Deltuva , A. C. Fonseca

We deform the interaction between nonrelativistic point particles on a plane and a Chern-Simons field to obtain an action invariant with respect to time-dependent area-preserving diffeomorphisms. The deformed and undeformed Lagrangians are…

High Energy Physics - Theory · Physics 2009-11-07 P. C. Stichel

This paper concerns the homogenization of Schrodinger equations for non-crystalline matter, that is to say the coefficients are given by the composition of stationary functions with stochastic deformations. Two rigorous results of so-called…

Analysis of PDEs · Mathematics 2022-06-03 Vernny Ccajma , Wladimir Neves , Jean Silva

Sophisticated high-energy and large momentum-transfer scattering experiments combined with ab-initio calculations can reveal the short-distance behavior of nucleon pairs in nuclei. On an opposite energy and resolution scale, elastic…

Nuclear Theory · Physics 2019-02-19 Ronen Weiss , Axel Schmidt , Gerald A. Miller , Nir Barnea

Effective field theory requires all observables to be independent of the representation used for the quantum field operators. It means that off-shell properties of the interactions should not lead to any observable effects. We analyse this…

Nuclear Theory · Physics 2016-09-08 Boris Krippa , Michael C. Birse , Judith A. McGovern , Niels R. Walet

Properties of effective interactions in neutron-rich matter are reflected in the medium's equation of state (EOS), which is a relationship among several state variables. Spin and isospin asymmetries play an important role in the energy…

Nuclear Theory · Physics 2007-10-03 Plamen G. Krastev , Francesca Sammarruca , Bao-An Li , Aaron Worley