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Three body effects are studied for both asymmetric nuclear matter and pure neutron matter to calculate the nuclear Equation of State . The Brueckner Hartree Fock approximation is used using CD Bonn B and Argonne V18 potentials. A two body…

Nuclear Theory · Physics 2018-10-22 H. M. M. Mansour , M. El Zohry , A. E. Elmeshneb

We consider an effective field theory of NN system in nuclear medium. The shallow bound states, which complicate the effective field theory analysis and lead to the large scattering length in the vacuum case do not exist in matter. We study…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. Krippa

Using the effective-range expansion for the two-body amplitudes may generate spurious sub-threshold poles outside of the convergence range of the expansion. In the infinite volume, the emergence of such poles leads to the breakdown of…

Nuclear Theory · Physics 2023-08-21 M. Ebert , H. -W. Hammer , A. Rusetsky

A density functional theory is proposed for strongly interacting fermions with arbitrary large negative scattering length. The functional has only two parameters that are directly fixed to reproduce the universal properties of unitary gas:…

Nuclear Theory · Physics 2016-11-03 Denis Lacroix

We investigate the applicability of machine learning techniques in studying the finite-size effects associated with many-body physics. These techniques have an emerging presence in many-body theory as they have been used for interpolations,…

Nuclear Theory · Physics 2021-11-08 Nawar Ismail , Alexandros Gezerlis

The development of systematic effective field theories (EFTs) for nuclear forces and advances in solving the nuclear many-body problem have greatly improved our understanding of dense nuclear matter and the structure of finite nuclei. For…

Nuclear Theory · Physics 2025-09-30 Brendan T. Reed , Matthias Heinz , Pierre Arthuis , Achim Schwenk , Ingo Tews

Thermal properties of low-density neutron matter are investigated by determinantal quantum Monte Carlo lattice calculations on 3+1 dimensional cubic lattices. Nuclear effective field theory (EFT) is applied using the pionless single- and…

Nuclear Theory · Physics 2009-11-25 T. Abe , R. Seki

This contribution is an advertisement for applying effective field theory (EFT) to many-body problems, including nuclei and cold atomic gases. Examples involving three-body interactions are used to illustrate how EFT's quantify and…

Nuclear Theory · Physics 2015-06-26 R. J. Furnstahl

We discuss renormalization of the non-relativistic three-body problem with short-range forces. The problem becomes non-perturbative at momenta of the order of the inverse of the two-body scattering length, and an infinite number of graphs…

Nuclear Theory · Physics 2009-10-31 P. F. Bedaque , H. -W. Hammer , U. van Kolck

The differential cross-sections for elastic and inelastic neutrino-deuteron scattering are calculated analytically using nucleon-nucleon effective field theory. For elastic scattering, the deuteron axial form factor and the deuteron strange…

Nuclear Theory · Physics 2009-10-31 Malcolm Butler , Jiunn-Wei Chen

A microscopic theory of nuclei based on a 'free' scattering NN-potential is meaningful only if this potential fits on-shell scattering data.This is a necessary but not sufficient condition for the theory to be successful.It has been…

Nuclear Theory · Physics 2009-07-10 H. S. Kohler

The Schr\"odinger equation for a charged particle in the field of a nonrelativistic electric quadrupole in two dimensions is known to be separable in spherical coordinates. We investigate the occurrence of bound states of negative energy…

Quantum Physics · Physics 2013-12-05 Francisco M. Fernández

Although one-loop calculations provide a realistic description of bulk and single-particle nuclear properties, it is necessary to examine loop corrections to develop a systematic finite-density power-counting scheme for the nuclear…

Nuclear Theory · Physics 2008-11-26 Ying Hu , Jeff McIntire , Brian D. Serot

Polarization observables in neutron-deuteron scattering are calculated to next-to-next-to-next-to-leading order ($\mathrm{N}^{3}\mathrm{LO}$) in pionless effective field theory ($\mathrm{EFT}_{\not{\pi}}$). At $\mathrm{N}^{3}\mathrm{LO}$…

Nuclear Theory · Physics 2016-06-08 Arman Margaryan , Roxanne P. Springer , Jared Vanasse

Momentum space three-body Faddeev-like equations are used to calculate elastic, transfer and charge exchange reactions resulting from the scattering of deuterons on 12C and 16O or protons on 13C and 17O; 12C and 16O are treated as inert…

Nuclear Theory · Physics 2009-01-21 A. Deltuva , A. C. Fonseca

We discuss renormalization of the non-relativistic three-body problem with short-range forces. The problem becomes non-perturbative at momenta of the order of the inverse of the two-body scattering length, and an infinite number of graphs…

Nuclear Theory · Physics 2007-05-23 H. -W. Hammer

The search for the conjectured QCD critical point in heavy-ion collisions requires to account for far-from equilibrium effects as well as fluctuations, and in particular non-Gaussian fluctuations, in the modeling of the dynamics of the hot…

High Energy Physics - Theory · Physics 2025-04-29 Navid Abbasi , Dirk H. Rischke

For a system of fermions with a three-body contact interaction the second-order contributions to the energy per particle $\bar E(k_f)$ are calculated exactly. The three-particle scattering amplitude in the medium is derived in closed…

Nuclear Theory · Physics 2015-06-04 N. Kaiser

We present an improved action for renormalizable effective field theories (EFTs) of systems near the two-body unitarity limit. The ordering of EFT interactions is constrained, but not entirely fixed, by the renormalization group. The…

Atomic and Molecular Clusters · Physics 2024-01-17 L. Contessi , M. Schäfer , U. van Kolck

Effective Field Theory (EFT) provides a powerful framework to exploit a separation of scales in order to perform systematically improvable, model-independent calculations. We apply this method to strongly interacting quantum systems with…

Nuclear Theory · Physics 2009-06-25 H. -W. Hammer
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