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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 compute the mass radius, scalar radius, tensor radius, baryon number radius and mechanical radius of nuclei with baryon number $B=1,2,3,4,5,6,7,8,32,108$ in the Skyrme model. The relations between these radii and the nuclear…

High Energy Physics - Phenomenology · Physics 2024-04-24 Alberto García Martín-Caro , Miguel Huidobro , Yoshitaka Hatta

After noting the well known similarity of the minimal electro-weak Higgs sector with the linear sigma model for the pion and the sigma, it is found that a small mixing term between the two models generates a pion mass. Although the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Nils A. Tornqvist

We present recent studies on the effective mass of the nucleon in infinite and homogeneous nuclear matter and its relation to nuclear matter properties within the framework of the in-medium modified Skyrme model. Medium modifications are…

Nuclear Theory · Physics 2015-05-27 Ulugbek Yakhshiev , Hyun-Chul Kim

We study nuclear matter and finite nuclei with a chiral Lagrangian which generalizes the linear $\sigma$ model and also accounts for the QCD trace anomaly by means of terms which involve the $\sigma$ and $\vmg{\pi}$ fields as well as the…

Nuclear Theory · Physics 2009-10-22 E. K. Heide , S. Rudaz , P. J. Ellis

The relevance of the pion mass, provenient from a term which explicitely breaks chiral symmetry in the Lagrangian, for nucleon magnetic moment in the frame of the Skyrmion model in two different versions: the usual Skyrme model and a…

High Energy Physics - Lattice · Physics 2007-05-23 Fabio L. Braghin

A new method is developed for treating the effect of the neutron-proton mass difference in isospin-violating nuclear forces. Previous treatments utilized an awkward subtraction scheme to generate these forces. A field redefinition is used…

Nuclear Theory · Physics 2014-11-18 J. L. Friar , U. van Kolck , M. C. M. Rentmeester , R. G. E. Timmermans

We study the modification of hadron masses due to the vacuum polarization using the chiral sigma model, which is extended to generate the $\omega$ meson mass by the sigma condensation in the vacuum in the same way as the nucleon mass. The…

Nuclear Theory · Physics 2009-11-10 H. Shen , S. Tamenaga , H. Toki

The neutron-proton mass difference in (isospin asymmetric) nuclear matter and finite nuclei is studied in the framework of a medium-modified Skyrme model. The proposed effective Lagrangian incorporates both the medium influence of the…

Nuclear Theory · Physics 2014-11-20 Ulf-G. Meißner , A. M. Rakhimov , A. Wirzba , U. T. Yakhshiev

QCD sum rules using polynomial kernels are used to evaluate the strong part of the proton-neutron mass difference DeltaM_np in a model independent fashion. The result for the mass difference turns out to depend sensitively on the value of…

High Energy Physics - Phenomenology · Physics 2015-06-05 Nasrallah F. Nasrallah

The Skyrme model is a low-energy effective field theory for QCD, where the baryons emerge as soliton solutions. It is, however, not so easy within the standard Skyrme model to reproduce the almost exact linear growth of the nuclear masses…

High Energy Physics - Theory · Physics 2014-11-20 C. Adam , J. Sanchez-Guillen , A. Wereszczynski

A problem with the standard Skyrme model is that Skyrmion binding energies are around $15\%$, being much larger than the order $1\%$ binding energies of the nuclei that they aim to describe. Here we consider theories that extend the…

High Energy Physics - Theory · Physics 2018-06-05 Carlos Naya , Paul Sutcliffe

We show that coupling the $\textrm{SU}(2)$-valued Skyrme field to the $\rho$-meson solves the long-standing issue of (in)compressibility in the solitonic Skyrme model. Even by including only one $\rho\pi$ interaction term, motivated by a…

High Energy Physics - Theory · Physics 2025-01-13 Miguel Huidobro , Paul Leask , Carlos Naya , Andrzej Wereszczynski

The neutron-proton Fermi-energy difference and the correlation to nucleon separation energies for some magic nuclei are investigated with the Skyrme energy density functionals and nuclear masses, with which the nuclear symmetry energy at…

Nuclear Theory · Physics 2013-03-28 Ning Wang , Li Ou , Min Liu

This lecture provides a pedagogical instruction to the basic concepts of the Skyrme model and its some applications. As the preliminary for understanding the Skyrme model, we first briefly explain the large $N_c$ expansion, chiral symmetry…

High Energy Physics - Phenomenology · Physics 2016-04-19 Yong-Liang Ma , Masayasu Harada

We briefly review the generalized Skyrmion model for the baryon recently suggested by us. It takes into account the tower of vector and axial mesons as well as the chiral symmetry breaking. The generalized Skyrmion model provides the…

High Energy Physics - Phenomenology · Physics 2015-06-18 A. Gorsky , A. Krikun

We apply the strong $\pi NN$ form factor, which emerges from the Skyrme model, in the two-nucleon system using a one-boson-exchange (OBE) model for the nucleon-nucleon (NN) interaction. Deuteron properties and phase parameters of NN…

Nuclear Theory · Physics 2009-09-25 G. Holzwarth , R. Machleidt

We perform a complete calculation of charge symmetry breaking effects for the reaction pn -> d pi0 at leading order in chiral perturbation theory. A new leading-order operator is included. From our analysis we extract \delta m_N^{str}, the…

Nuclear Theory · Physics 2010-01-15 A. Filin , V. Baru , E. Epelbaum , J. Haidenbauer , C. Hanhart , A. Kudryavtsev , U. -G. Meißner

We discuss the relevance of the scalar modes appearing in chiral theories with spontaneous symmetry breaking such as the NJL model for nuclear matter studies. We show that it depends on the relative role of chiral symmetry breaking and…

Nuclear Theory · Physics 2011-02-03 G. Chanfray , M. Ericson

A density dependent, effective nucleon-nucleon force of the Skyrme type is derived from the quark-meson coupling model -- a self-consistent, relativistic quark level description of nuclear matter. This new formulation requires no assumption…

Nuclear Theory · Physics 2010-02-17 P. A. M. Guichon , H. H. Matevosyan , N. Sandulescu , A. W. Thomas