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In an effort to find an effective interaction which can consistently be used for both the mean-field part and the residual part in beyond mean-field theories, properties of the Skyrme interactions as a residual interaction are investigated.…

Nuclear Theory · Physics 2021-07-07 Mitsuru Tohyama

In a quantum Fermi system the energy per particle calculated at the second order beyond the mean-field approximation diverges if a zero-range interaction is employed. We have previously analyzed this problem in symmetric nuclear matter by…

Nuclear Theory · Physics 2015-06-04 Kassem Moghrabi , Marcella Grasso , Xavier Roca-Maza , Gianluca Colo'

Grimme's DFT-D dispersion contribution to interatomic forces constants, required for the computation of the phonon band structures in density-functional perturbation theory, has been derived analytically. The implementation has then been…

Materials Science · Physics 2018-01-29 Benoit Van Troeye , Marc Torrent , Xavier Gonze

In the recent letter [1] by H. Ikeda and Y. Ohashi, a new, very attractive idea is proposed for the explanation of the micromagnetism in U-based heavy fermion compounds. For this sake a nontrivial spin density wave (d-SDW) is introduced.…

Strongly Correlated Electrons · Physics 2009-10-31 M. Kiselev , F. Bouis

We propose to use dynamical symmetries of the field equations, in order to classify the dark energy models in the context of scalar field (quintessence or phantom) FLRW cosmologies. Practically, symmetries provide a useful mathematical tool…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Andronikos Paliathanasis , Michael Tsamparlis , Spyros Basilakos

In the present article we show that the Skyrme--Faddeev model possesses nonlinear wave solutions, which can be expressed in terms of elliptic functions. The Whitham averaging method has been exploited in order to describe slow deformation…

Exactly Solvable and Integrable Systems · Physics 2015-06-11 L. Martina , M. V. Pavlov , S. A. Zykov

We perform a systematic study of the impact of the J^2 tensor term in the Skyrme energy functional on properties of spherical nuclei. In the Skyrme energy functional, the tensor terms originate both from zero-range central and tensor…

Nuclear Theory · Physics 2011-11-09 T. Lesinski , M. Bender , K. Bennaceur , T. Duguet , J. Meyer

Symmetry energy coefficients of explicitly isospin asymmetric nuclear matter at variable densities (from .5$\rho_0$ up to 2 $\rho_0$) are studied as generalized screening functions. An extended stability condition for asymmetric nuclear…

Nuclear Theory · Physics 2009-11-07 Fabio L. Braghin

We further progress along the line of Ref. [Phys. Rev. {\bf A 94}, 043614 (2016)] where a functional for Fermi systems with anomalously large $s$-wave scattering length $a_s$ was proposed that has no free parameters. The functional is…

Nuclear Theory · Physics 2017-05-24 Denis Lacroix , Antoine Boulet , Marcella Grasso , C. -J. Yang

A new Skyrme functional devised to account well for standard nuclear properties as well as for spin and spin-isospin properties is presented. The main novelty of this work relies on the introduction of tensor terms guided by \textit{ab…

Nuclear Theory · Physics 2019-03-22 Shihang Shen , Gianluca Colò , Xavier Roca-Maza

The formalism of linear response theory for a Skyrme functional including spin-orbit and tensor terms is generalized to the case of infinite nuclear matter with arbitrary isospin asymmetry. Response functions are obtained by solving an…

Nuclear Theory · Physics 2015-06-18 D. Davesne , A. Pastore , J. Navarro

We present an alternative formulation of quantum mechanical angular momentum, based on spatial wavefunctions that depend on the Euler angles $\phi, \theta, \chi$, and have an additional internal projection $n$. The wavefunctions are Wigner…

Quantum Physics · Physics 2025-01-24 T. Peter Rakitzis

Our paper aims at providing an answer to the question whether one can reliably describe the properties of the most important spin-isospin nuclear excitations, by using the available non-relativistic Skyrme energy functionals. Our method,…

Nuclear Theory · Physics 2008-11-26 Sara Fracasso , Gianluca Colo'

Background: [elided for arXiv character count] Purpose: With the advancement of computational power it is now possible to undertake TDHF calculations without any symmetry assumptions and incorporate the major strides made by the nuclear…

Nuclear Theory · Physics 2016-06-22 P. D. Stevenson , E. B. Suckling , S. Fracasso , M. C. Barton , A. S. Umar

A model with d-wave pairing symmetry is studied by employing a non-perturbative sum rule approach. At low temperature the magnitude of a normal state pseudogap shows strong $\vec{k}$ or angle dependence well fitted by $\cos 2\phi$ form.…

Strongly Correlated Electrons · Physics 2009-10-31 Bumsoo Kyung

Within the framework of Skyrme energy-density functional theory, the nucleus-nucleus potential is calculated and potential energy surface is obtained with different effective forces for accurately estimating the formation cross sections of…

Nuclear Theory · Physics 2022-06-28 Cheng Peng , Zhao-Qing Feng

In this work, we present an effective field theory to describe a two-component Fermi gas near a $d$-wave interaction resonance. The effective field theory is renormalizable by matching with the low energy $d$-wave scattering phase shift.…

Quantum Gases · Physics 2017-04-19 Pengfei Zhang , Shizhong Zhang , Zhenhua Yu

We generalize to N2LO Skyrme functionals the semi-classical approach of Grammaticos and Voros in order to calculate the Extended Thomas Fermi expressions of the new densities and currents appearing at the N2LO level. Within a one…

Nuclear Theory · Physics 2022-11-30 P. Proust , Y. Lallouet , D. Davesne , J. Meyer

Isospin-symmetry-violating class II and III contact terms are introduced into the Skyrme energy density functional to account for charge dependence of the strong nuclear interaction. The two new coupling constants are adjusted to available…

Most of the Skyrme interactions are known to predict spin or isospin instabilities beyond the saturation density of nuclear matter which contradict predictions based on realistic interactions. A modification of the standard Skyrme…

Nuclear Theory · Physics 2015-05-13 Jérôme Margueron , Hiroyuki Sagawa