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We study various properties of a one parameter mass term for the Skyrme model, originating from the works of Kopeliovich, Piette and Zakrzewski, through the use of axially symmetric solutions obtained numerically by simulated-annealing.…

High Energy Physics - Phenomenology · Physics 2009-11-18 Merlin C. Davies , Luc Marleau

We consider soliton solutions of the U(1) gauged Skyrme model with the pion mass term. The domain of existence of gauged Skyrmions is restricted from above by the value of the pion mass. Concentrating on the solutions of topological degree…

High Energy Physics - Theory · Physics 2023-06-21 Leandro Roza Livramento , Eugen Radu , Yakov Shnir

We performed metadynamics Monte Carlo simulations to obtain the free energy as a function of the topological charge in the skyrmion-hosting magnetic model systems (Pt$_{0.95}$Ir$_{0.05}$)/Fe/Pd(111) and Pd/Fe/Ir(111), using a spin model…

Materials Science · Physics 2023-12-12 Balázs Nagyfalusi , László Udvardi , László Szunyogh , Levente Rózsa

We calculate the spin-dependent polarizability of the nucleon in the Skyrme model. The result is compared with that of a heavy baryon chiral perturbation theory(HBChPT), and is shown to be the same as that of HBChPT up to the $\Delta$-pole…

High Energy Physics - Phenomenology · Physics 2009-10-30 Y. Tanushi , Y. Nakahara , S. Saito , M. Uehara

We study a Skyrme-type model with a quadratic potential for a field with $S^2$ vacua. We consider two flavors of the model, the first is the Skyrme model and the second has a sixth-order derivative term instead of the Skyrme term; both with…

High Energy Physics - Theory · Physics 2015-04-30 Sven Bjarke Gudnason , Muneto Nitta

The Skyrme model is reconsidered from an effective theory point of view. From the most general chiral Lagrangian up to including terms of order $p^4$, $N_c$ and $\delta m^2$ ($\delta m\equiv m_s-m$), new interactions, which have never been…

High Energy Physics - Phenomenology · Physics 2009-11-10 Koji Harada , Yohei Mitsunari , Nao-aki Yamashita

The differences of the masses of nuclear isotopes with atomic numbers between \~10 and ~30 can be described within the chiral soliton approach in satisfactory agreement with data. Rescaling of the model is necessary for this purpose -…

Nuclear Theory · Physics 2015-06-26 V. B. Kopeliovich , A. M. Shunderuk , G. K. Matushko

We introduce a layered random spin model, equivalent to the Generalized Random Energy Model (GREM). In analogy with diluted spin systems, a diluted GREM (DGREM) is introduced.It can be applied to calculate approximately thermodynamic…

Disordered Systems and Neural Networks · Physics 2009-10-30 D. Saakian

The Nijmegen OBE potential D is SU(3) rotated to model the strangeness -2 sector of the baryon-baryon force. Soft core repulsion is introduced to regularize the singular nature of the OBE functions. The strength of the $^1$S$_0$ $t=0$…

Nuclear Theory · Physics 2011-08-17 S. B. Carr , I. R. Afnan , B. F. Gibson

The properties of the multisoliton solutions of the (2+1)-dimensional Maxwell-Chern-Simons-Skyrme model are investigated numerically. Coupling to the Chern-Simons term allows for existence of the electrically charge solitons which may also…

High Energy Physics - Theory · Physics 2017-02-15 A. Samoilenka , Ya. Shnir

The unstable manifold of the B=2 sector of the Skyrme model is constructed numerically using the gradient-flow method. Following paths of steepest descent from the B=2 hedgehog, we apply a collective coordinate description for the motion on…

Nuclear Theory · Physics 2007-05-23 Thomas Waindzoch , Jochen Wambach

Two recently found coupled BPS submodels of the Skyrme model are further analyzed. Firstly, we provide a geometrical formulation of the submodels in terms of the eigenvalues of the strain tensor. Secondly, we study their thermodynamical…

High Energy Physics - Theory · Physics 2018-02-14 C. Adam , D. Foster , S. Krusch , A. Wereszczynski

We have built a database of ab-initio total energies for elemental Boron in over 60 hypothetical crystal structures of varying coordination $Z$, such that every atom is equivalent. Fitting to each subset with a particular $Z$, we extract a…

Materials Science · Physics 2009-10-31 W. -J. Zhu , C. L. Henley

Recently, Bauke and Mertens conjectured that the local statistics of energies in random spin systems with discrete spin space should in most circumstances be the same as in the random energy model. Here we give necessary conditions for this…

Disordered Systems and Neural Networks · Physics 2007-05-23 Anton Bovier , Irina Kurkova

We derive the nucleon-nucleon interaction from the Skyrme model using second order perturbation theory and the dipole approximation to skyrmion dynamics. Unlike previous derivations, our derivation accounts for the non-trivial kinetic and…

High Energy Physics - Theory · Physics 2022-08-10 Derek Harland , Chris Halcrow

We develop a one-parameter family of static baby Skyrme models that do not require a potential term to admit topological solitons. This is a novel property as the standard baby Skyrme model must contain a potential term in order to have…

High Energy Physics - Theory · Physics 2015-06-01 Jennifer Ashcroft , Mareike Haberichter , Steffen Krusch

The solitons of the SO(3) gauged Skyrme model with no pion-mass potential were studied in Refs. {nl,jmp}. Here, the effects of the inclusion of this potential are studied. In contrast with the (ungauged) Skyrme model, where the effect of…

High Energy Physics - Theory · Physics 2009-11-07 Y. Brihaye , J. Burzlaff , V. Paturyan , D. H. Tchrakian

We analyze the mechanism of condensation of orientational moduli (as introduced in [25]) on multi-Skyrmionic configurations of the four-dimensional Skyrme model. The present analysis reveals interesting novel features. First of all, the…

High Energy Physics - Theory · Physics 2016-08-24 Fabrizio Canfora , Gianni Tallarita

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

We construct nuclear energy density functionals in terms of derivatives of densities up to sixth, next-to-next-to-next-to-leading order (N3LO). A phenomenological functional built in this way conforms to the ideas of the density matrix…

Nuclear Theory · Physics 2014-11-18 B. G. Carlsson , J. Dobaczewski , M. Kortelainen