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Related papers: Error analysis of the parameters of the Skyrme N2L…

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We present recent developments obtained in the so-called N2LO extension of the usual Skyrme pseudo-potential. In particular, we discuss the isovector splitting mass in infinite nuclear matter and the pairing gaps of selected semi-magic…

Nuclear Theory · Physics 2018-05-09 P. Becker , D. Davesne , J. Meyer , J. Navarro , A. Pastore

The explicit form of the next-to-next-to-leading order (N2LO) of the Skyrme effective pseudopotential compatible with all required symmetries and especially with gauge invariance is presented in Cartesian basis. It is shown in particular…

Nuclear Theory · Physics 2013-07-10 D. Davesne , A. Pastore , J. Navarro

Based on an extended Skyrme interaction that includes the terms in relative momenta up to sixth order, corresponding to the so-called Skyrme pseudopotential up to next-to-next-to-next-to leading order (N3LO), we derive the expressions of…

Nuclear Theory · Physics 2018-12-05 Rui Wang , Lie-Wen Chen , Ying Zhou

Nuclear effective interactions are often modelled by simple analytical expressions such as the Skyrme zero-range force. This effective interaction depends on a limited number of parameters that are usually fitted using experimental data…

Nuclear Theory · Physics 2015-06-03 A. Pastore , K. Bennaceur , D. Davesne , J. Meyer

We estimate the expected errors of nuclear matrix elements coming from the uncertainty on the NN interaction. We use a coarse grained (GR) interaction fitted to NN scattering data, with several prescriptions for the long-part of the…

Nuclear Theory · Physics 2015-06-17 J. E. Amaro , R. Navarro Perez , E. Ruiz Arriola

Current and forthcoming cosmological data analyses share the challenge of huge datasets alongside increasingly tight requirements on the precision and accuracy of extracted cosmological parameters. The community is becoming increasingly…

Instrumentation and Methods for Astrophysics · Physics 2014-12-17 Benjamin Joachimi , Andy Taylor

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

There is an ongoing quest to improve on the spectroscopic quality of nuclear energy density functionals (EDFs) of the Skyrme type through extensions of its traditional form. One direction for such activities is the inclusion of terms of…

Nuclear Theory · Physics 2021-10-12 Wouter Ryssens , Michael Bender

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

We analyze the peripheral structure of the nucleon-nucleon interaction for LAB energies below 350 MeV. To this end we transform the scattering matrix into the impact parameter representation by analyzing the scaled phase shifts $(L+1/2)…

Nuclear Theory · Physics 2018-03-14 I. Ruiz Simo , J. E. Amaro , E. Ruiz Arriola , R. Navarro Perez

Based on Monte Carlo approach and conventional error analysis theory, taking the heaviest doubly magic nucleus $^{208}$Pb as an example, we firstly evaluate the propagated uncertainties of universal potential parameters for three typical…

Nuclear Theory · Physics 2021-02-02 Zhen-Zhen Zhang , Hua-Lei Wang , Hai-Yan Meng , Min-Liang Liu

This work presents a detailed covariance and correlation matrix analysis for experimentally measured cross sections obtained using the activation technique. Both statistical and systematic contributions to the covariance matrix were…

Nuclear Theory · Physics 2026-04-01 Tanmoy Bar

A state-of-the-art approach for calculating the finite nuclear size correction to atomic energy levels and the bound-electron $g$ factor is introduced and demonstrated for a series of highly charged hydrogen-like ions. Firstly,…

Atomic Physics · Physics 2020-07-01 Igor A. Valuev , Zoltán Harman , Christoph H. Keitel , Natalia S. Oreshkina

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

We implement for the first time the simulated annealing method (SAM) to the problem of searching for the global minimum in the hyper-surface of the chi-square function which depends on the values of the parameters of a Skyrme type effective…

Nuclear Theory · Physics 2008-11-26 B. K. Agrawal , S. Shlomo , V. Kim Au

By adding a non-linear core correction to the well established Dual Space Gaussian type pseudopotentials for the chemical elements up to the third period, we construct improved pseudopotentials for the Perdew Burke Ernzerhof (PBE)…

The Variable S-matrix approach offers a unique way to extract low energy threshold parameters for a given NN potential. We extract those parameters for the np system from the NijmII and Reid93 potentials, to all partial waves with total…

Nuclear Theory · Physics 2007-05-23 M. Pavon Valderrama , E. Ruiz Arriola

[Background] Symmetry restoration and configuration mixing in the spirit of the generator coordinate method based on energy density functionals have become widely used techniques in low-energy nuclear structure physics. Recently, it has…

Nuclear Theory · Physics 2012-11-27 K. Washiyama , K. Bennaceur , B. Avez , M. Bender , P. -H. Heenen , V. Hellemans

We discuss the determination of the parameters of the pp and ppbar amplitudes for the description of scattering in the Coulomb interference region. We put enphasis on the possibility that the effective slope observed in the differential…

High Energy Physics - Phenomenology · Physics 2009-05-28 Anderson Kendi , Erasmo Ferreira , Takeshi Kodama

We give a brief review on the development of phenomenological NN interactions and the corresponding quantification of statistical uncertainties. We look into the uncertainty of effective interactions broadly used in mean field calculations…

Nuclear Theory · Physics 2016-02-01 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola
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