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We review many body calculations of the equation of state of dilute neutron matter in the context of effective field theories of the nucleon-nucleon interaction.

Nuclear Theory · Physics 2008-11-26 Thomas Schaefer

The nuclear saturation mechanism is discussed in terms of two-nucleon and three-nucleon interactions in chiral effective field theory (Ch-EFT), using the framework of lowest-order Brueckner theory. After the Coester band, which is observed…

Nuclear Theory · Physics 2015-12-23 M. Kohno

We analyze the power counting of two-body currents in nuclear effective field theories (EFTs). We find that the existence of non-perturbative physics at low energies, which is manifest in the existence of the deuteron and the 1S0 NN virtual…

Nuclear Theory · Physics 2015-03-05 M. Pavón Valderrama , Daniel R. Phillips

We study nuclear and neutron matter by combining chiral effective field theory with non-perturbative lattice methods. In our approach nucleons and pions are treated as point particles on a lattice. This allows us to probe larger volumes,…

Nuclear Theory · Physics 2009-11-10 Dean Lee , Bugra Borasoy , Thomas Schaefer

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

The use of leading order effective field theory (EFT) to describe neutron-deuteron scattering leads to integral equations that have unusual behaviour: when only two-body interactions are included, the scattering amplitude does not approach…

Nuclear Theory · Physics 2007-05-23 B. Blankleider , J. Gegelia

We combine equation of state of dense matter up to twice nuclear saturation density ($n_{\rm sat}=0.16\, \text{fm}^{-3}$) obtained using chiral effective field theory ($\chi$EFT), and recent observations of neutron stars to gain insights…

We calculate the equation of state of isospin-symmetric nuclear matter in the three-loop approximation of chiral perturbation theory. The contributions to the energy per particle $\bar E(k_f)$ from one- and two-pion exchange diagrams are…

Nuclear Theory · Physics 2009-11-07 N. Kaiser , S. Fritsch , W. Weise

We present a simple introduction to the techniques of effective field theory (EFT) and their application to QCD. For problems with more than one energy scale, the EFT approach is a useful alternative to more traditional model-building…

Nuclear Theory · Physics 2007-05-23 U. van Kolck , L. J. Abu-Raddad , D. M. Cardamone

We present new nuclear matter calculations based on low-momentum interactions derived from chiral effective field theory potentials. The current calculations use an improved treatment of the three-nucleon force contribution that includes a…

Nuclear Theory · Physics 2011-03-10 K. Hebeler , S. K. Bogner , R. J. Furnstahl , A. Nogga , A. Schwenk

This paper presents an analysis of neutron skins based on fully microscopic equations of state, including chiral two- and three-nucleon forces consistently at N3LO. Other theoretical predictions and recent constraints are also addressed,…

Nuclear Theory · Physics 2022-06-22 Francesca Sammarruca

We explore the constraints on the three-nucleon force (3NF) of chiral effective field theory ($\chi$EFT) that are provided by bound-state observables in the $A=3$ and $A=4$ sectors. Our statistically rigorous analysis incorporates…

Nuclear matter is studied within the Density Functional Theory (DFT) framework. Our method employs a finite number of nucleons in a box subject to periodic boundary conditions, in order to simulate infinite matter and study its response to…

Nuclear Theory · Physics 2023-04-26 Francesco Marino , Gianluca Colò , Xavier Roca-Maza , Enrico Vigezzi

Because of the development of many-body theories of nuclear matter, the long-standing, open problem of the equation of state (EOS) of dense matter may be understood in the near future through the confrontation of theoretical calculations…

Nuclear Theory · Physics 2020-12-02 A. Li , Z. -Y. Zhu , E. -P. Zhou , J. -M. Dong , J. -N. Hu , C. -J. Xia

We summarize our recent work dealing with the construction of the nucleon-nucleon potential and associated electromagnetic currents up to one loop in chiral effective field theory ($\chi$EFT). The magnetic dipole operators derived from…

Nuclear Theory · Physics 2015-05-14 L. Girlanda , S. Pastore , R. Schiavilla , M. Viviani

The equations of state of spin-polarized nuclear matter and pure neutron matter are studied in the framework of the Brueckner-Hartree-Fock theory including a three-body force. The energy per nucleon $E_A(\delta)$ calculated in the full…

Nuclear Theory · Physics 2018-01-17 W. Zuo , U. Lombardo , C. W. Shen

Chiral effective field theory allows one to calculate the response of few-nucleon systems to external currents, both for currents that can be probed in the Standard Model and ones that only exist in Standard-Model extensions. In combination…

High Energy Physics - Phenomenology · Physics 2019-03-28 Martin Hoferichter , Philipp Klos , Javier Menéndez , Achim Schwenk

We review a new generation of nuclear forces derived in chiral effective field theory using the recently proposed semilocal regularization method. We outline the conceptual foundations of nuclear chiral effective field theory, discuss all…

Nuclear Theory · Physics 2019-11-28 E. Epelbaum , H. Krebs , P. Reinert

Making use of the Effective Field Theory(EFT) expansion recently developed by the authors, we compute the charge form factor of triton up to next-to-next-to-leading order (N$^2$LO). The three-nucleon forces(3NF) is required for…

Nuclear Theory · Physics 2011-03-15 H. Sadeghi

We calculate the equation of state of nuclear matter in the self-consistent T-matrix scheme including three-body nuclear interactions. We study the effect of the three-body force on the self-energies and spectral functions of nucleons in…

Nuclear Theory · Physics 2008-11-26 Vittorio Soma , Piotr Bozek