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Numerical simulations of core-collapse supernovae, mergers of binary neutron stars and formation of stellar black holes, which employed standard Skyrme interactions, established clear correlations between the evolution of these processes,…

Nuclear Theory · Physics 2026-01-16 Adriana R. Raduta , Mikhail V. Beznogov

The density functional theory of nuclear structure provides a many-particle wave function that is useful for static properties, but an extension of the theory is necessary to describe correlation effects or other dynamic properties. Here we…

Nuclear Theory · Physics 2009-11-11 Y. Alhassid , G. F. Bertsch , L. Fang , B. Sabbey

A spin-wave (SW) approach for hard-core bosons is presented to treat the problem of two dimensional boson localization in a random potential. After a short review of the method to compute 1/S-corrected observables, the case of random…

Strongly Correlated Electrons · Physics 2014-12-04 Juan Pablo Álvarez Zúñiga , Gabriel Lemarié , Nicolas Laflorencie

Orbital-free (OF) methods promise significant speed-up of computations based on density functional theory (DFT). In this field, the development of accurate kinetic-energy density functionals remains an open question. In this chapter we…

Materials Science · Physics 2013-05-03 Constantine Yannouleas , Uzi Landman

Systematic calculations of favored signature maximum-spin I_max and unfavored signature I_max - 1 terminating states for [f 7/2 ^ n] and [d 3/2 ^ (-1) f 7/2 ^ (n+1)] configurations (n denotes number of valence particles) in A ~ 44 mass…

Nuclear Theory · Physics 2007-05-23 M. Zalewski , W. Satula

A new scheme for constructing approximate effective electron potentials within density-functional theory is proposed. The scheme consists of calculating the effective potential for a series of reference systems, and then using these…

Condensed Matter · Physics 2016-08-14 K. Stokbro , N. Chetty , K. W. Jacobsen , J. K. Nørskov

A finite rank separable approximation for the quasiparticle RPA calculations with Skyrme interactions that was proposed in our previous work is extended to take into account the coupling between one- and two-phonon terms in the wave…

Nuclear Theory · Physics 2009-11-10 A. P. Severyukhin , V. V. Voronov , Ch. Stoyanov , Nguyen Van Giai

Zero-range effective interactions are commonly used in nuclear physics to describe a many-body system in the mean-field framework. If they are employed in beyond- mean-field models, an artificial ultraviolet divergence is generated by the…

Nuclear Theory · Physics 2013-04-19 K. Moghrabi , M. Grasso , X. Roca-Maza , G. Coló , N. Van Giai

In this paper, we will describe recent advances in analytical methods to construct exact solutions of the Skyrme model (and its generalizations) representing inhomogeneous Hadronic condensates living at finite Baryon density. Such novel…

High Energy Physics - Theory · Physics 2023-07-14 Fabrizio Canfora , Scarlett C. Rebolledo-Caceres

The recently developed extended Skyrme effective interaction based on the so-called N3LO Skyrme pseudopotential is generalized to the general N$n$LO case by incorporating the derivative terms up to 2$n$th-order into the central term of the…

Nuclear Theory · Physics 2025-04-18 Si-Pei Wang , Xin Li , Rui Wang , Jun-Ting Ye , Lie-Wen Chen

The meaning of statistical experiments with single microsystems in quantum mechanics is discussed and a general model in the framework of non-relativistic quantum field theory is proposed, to describe both coherent and incoherent…

Quantum Physics · Physics 2009-10-30 L. Lanz , B. Vacchini

Renormalization of the spin-wave spectrum is discussed in a cubic ferromagnet with dipolar forces at $T_C\gg T\ge0$. First 1/S-corrections are considered in detail to the bare spectrum $\epsilon_{\bf k} = \sqrt{Dk^2 (Dk^2 +…

Strongly Correlated Electrons · Physics 2007-05-23 A. V. Syromyatnikov

A robust and general solver for the radial Schr\"odinger, Dirac, and Kohn--Sham equations is presented. The formulation admits general potentials and meshes: uniform, exponential, or other defined by nodal distribution and derivative…

Atomic Physics · Physics 2015-06-11 Ondřej Čertík , John E. Pask , Jiří Vackář

The stability of the equation of state predicted by Skyrme-type interactions is examined. We consider simultaneously symmetric nuclear matter and pure neutron matter. The stability is defined by the inequalities that the Landau parameters…

Nuclear Theory · Physics 2009-11-07 Jerome Margueron , Jesus Navarro , Van Giai Nguyen

A new method for approximating Skyrme solutions is developed. It consists of cutting sections out of the Skyrme crystal and smoothly interpolating between the boundary and spatial infinity. Several field configurations are constructed, and…

Nuclear Theory · Physics 2009-10-28 W. K. Baskerville

The density matrix expansion (DME) of Negele and Vautherin is a convenient tool to map finite-range physics associated with vacuum two- and three-nucleon interactions into the form of a Skyme-like energy density functional (EDF) with…

Nuclear Theory · Physics 2015-03-13 B. Gebremariam , S. K. Bogner , T. Duguet

The nuclear isovector-dipole strength structure is analyzed in terms of the main and satellite (pygmy) peaks within the Fermi-liquid droplet model. Such a structure is sensitive to the value of the surface symmetry-energy constant obtained…

Nuclear Theory · Physics 2015-06-18 J. P. Blocki , A. G. Magner , P. Ring

We develop a new formulation of the continuum quasiparticle random phase approximation (QRPA) in which the residual interaction is derived directly from the Skyrme energy functional, keeping all the velocity dependent terms of the Skyrme…

Nuclear Theory · Physics 2012-09-24 Kazuhito Mizuyama , Masayuki Matsuo , Yasuyoshi Serizawa

The Skyrme force parameters can be uniquely determined by coarse graining the NN interactions at a characteristic momentum scale. We show how exact Vlowk potentials to second order in momenta are accurately and universally saturated with…

Nuclear Theory · Physics 2010-09-30 E. Ruiz Arriola

We study systematically the impact of the time-even tensor terms of the Skyrme energy density functional, i.e. terms bilinear in the spin-current tensor density, on deformation properties of closed shell nuclei corresponding to 20, 28, 40,…

Nuclear Theory · Physics 2009-12-14 M. Bender , K. Bennaceur , T. Duguet , P. -H. Heenen , T. Lesinski , J. Meyer