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A system of interacting, identical fermions described by standard Landau Fermi-liquid (FL) theory can experience a rearrangement of its Fermi surface if the correlations grow sufficiently strong, as occurs at a quantum critical point where…

Strongly Correlated Electrons · Physics 2015-06-04 J. W. Clark , M. V. Zverev , V. A. Khodel

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

We extend a recent three-loop calculation of nuclear matter in chiral perturbation theory by including the effects from two-pion exchange with single and double virtual $\Delta(1232)$-isobar excitation. Regularization dependent short-range…

Nuclear Theory · Physics 2009-11-10 S. Fritsch , N. Kaiser , W. Weise

Within bosonization theory we introduce in this paper a new definition of "quasi-particles" for interacting fermions at arbitrary space dimenions. In dimensions higher than one we show that the constructed quasi-particles are consistent…

Strongly Correlated Electrons · Physics 2009-11-10 Tai-Kai Ng

We construct a nuclear interaction in chiral effective field theory with explicit inclusion of the $\Delta$-isobar $\Delta(1232)$ degree of freedom at all orders up to next-to-next-to-leading order (NNLO). We use pion-nucleon ($\pi N$)…

Nuclear Theory · Physics 2018-02-27 A. Ekström , G. Hagen , T. D. Morris , T. Papenbrock , P. D. Schwartz

We present predictions for the equation of state of symmetric nuclear and pure neutron matter based on recent high-quality nucleon-nucleon potentials from leading order to fifth order in the chiral expansion. We include as well the…

Nuclear Theory · Physics 2018-07-19 F. Sammarruca , L. E. Marcucci , L. Coraggio , J. W. Holt , N. Itaco , R. Machleidt

The $\Lambda N$ and $\Sigma N$ interactions are considered at next-to-leading order in SU(3) chiral effective field theory. Different options for the low-energy constants that determine the strength of the contact interactions are explored.…

Nuclear Theory · Physics 2020-04-22 J. Haidenbauer , U. -G. Meißner , A. Nogga

The composite-fermion approach as formulated in the fermion Chern-Simons theory has been very successful in describing the physics of the lowest Landau level near Landau level filling factor 1/2. Recent work has emphasized the fact that the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Felix von Oppen , Bertrand I. Halperin , Steven H. Simon , Ady Stern

Interacting fermion systems in one dimension, which in the low energy approximation are described by Luttinger liquid theory, can be reformulated as systems of weakly interacting particles with fractional exchange statistics. This is shown…

Strongly Correlated Electrons · Physics 2021-04-19 Jon Magne Leinaas

The formalism of next-to-leading order Fermi Liquid Theory is employed to calculate the thermal properties of symmetric nuclear and pure neutron matter in a relativistic many-body theory beyond the mean field level which includes two-loop…

Nuclear Theory · Physics 2017-03-08 Constantinos Constantinou , Sudhanva Lalit , Madappa Prakash

In the first part of this paper, we use the framework of the Fermi liquid theory to derive model-independent relations between the slope parameters of the symmetry energy and of the incompressibility in nuclear matter to three-particle…

Nuclear Theory · Physics 2025-12-01 Wolfgang Bentz , Ian C. Cloët

We have extended our model for charged current neutrino-nucleus interactions to neutral current reactions. For the elementary neutrino-nucleon interaction, we take into account quasielastic scattering, Delta excitation and the excitation of…

Nuclear Theory · Physics 2008-11-26 T. Leitner , L. Alvarez-Ruso , U. Mosel

We have calculated the one-body Fermi and Gamow-Teller charge-current, and vector and axial-vector neutral-current nuclear matrix elements in nucleon matter at densities of 0.08, 0.16 and 0.24 fm$^{-3}$ and proton fractions ranging from 0.2…

Nuclear Theory · Physics 2009-11-07 S. Cowell , V. R. Pandharipande

Interactions between elementary excitations in quasi-one dimensional antiferromagnets are of experimental relevance and their quantitative theoretical treatment has been a theoretical challenge for many years. Using matrix product states,…

Strongly Correlated Electrons · Physics 2016-06-22 Laurens Vanderstraeten , Jutho Haegeman , Frank Verstraete , Didier Poilblanc

We employ the chiral nucleon-nucleon potential derived in ref.[1] to study bound and scattering states in the two-nucleon system. At next-to-leading order, this potential is the sum of renormalized one-pion and two-pion exchange and contact…

Nuclear Theory · Physics 2011-05-05 E. Epelbaum , W. Glöckle , Ulf-G. Meißner

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

The charge density distribution with respect to the velocity of matter produced in peripheral heavy ion reactions around Fermi energy is investigated. The experimental finding of enhancement of mid-rapidity matter shows the necessity to…

Nuclear Theory · Physics 2009-11-06 Klaus Morawetz , Pavel Lipavský , Jaques Normand , Daniel Cussol , Jean Colin , Bernard Tamain

Cross sections are calculated for neutrino scattering off heavy nuclei at energies below 50 MeV. The theory of Fermi liquid is applied to estimate the rate of neutrino-nucleon elastic and inelastic scattering in a nuclear medium in terms of…

Nuclear Theory · Physics 2008-11-26 Gennady I. Lykasov , Vadim A. Bednyakov

We calculate the properties of neutron matter and highlight the physics of chiral three-nucleon forces. For neutrons, only the long-range 2 pi-exchange interactions of the leading chiral three-nucleon forces contribute, and we derive…

Nuclear Theory · Physics 2015-03-13 K. Hebeler , A. Schwenk

We calculate the basic parameters of the Fermi Liquid: the scattering vertex, the Landau interaction function, the effective mass, and physical susceptibilities for a model of two-dimensional (2D) fermions with a short ranged interaction at…

Strongly Correlated Electrons · Physics 2009-11-07 Gennady Y. Chitov , Andrew J. Millis