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General analytic energy bounds are derived for N-boson systems governed by semirelativistic Hamiltonians of the form H=\sum_{i=1}^N \sqrt(p_i^2+m^2) + \sum_{1=i<j}^N V(r_{ij}), where V(r) is a static attractive pair potential. A…

Mathematical Physics · Physics 2008-11-26 Richard L. Hall , Wolfgang Lucha

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 report the first application of a recently proposed regularization procedure for multi-reference energy density functionals, which removes spurious divergent or non-continuous contributions to the binding energy, to a general…

Nuclear Theory · Physics 2013-10-22 M. Bender , T. Duguet , P. -H. Heenen , D. Lacroix

We study a Skyrme-type model with a potential term motivated by Bose-Einstein condensates (BECs), which we call the BEC Skyrme model. We consider two flavors of the model, the first is the Skyrme model and the second has a sixth-order…

High Energy Physics - Theory · Physics 2015-02-24 Sven Bjarke Gudnason , Muneto Nitta

We consider the classical static soliton solutions of the Skyrme model with false vacuum potential. We make use of fully three-dimensional relaxation calculations to construct global energy minimizers in the sectors of topological degrees…

High Energy Physics - Theory · Physics 2022-07-13 L. R. Livramento , Ya. Shnir

The baby Skyrme model is a well-known nonlinear field theory supporting topological solitons in two space dimensions. In the limit where the term quadratic in derivatives (the "sigma model term") vanishes some additional structure emerges.…

High Energy Physics - Theory · Physics 2013-05-30 C. Adam , C. Naya , J. Sanchez-Guillen , A. Wereszczynski

A formulation of Skyrme model as an embedded gauge theory with the constraint deformed away from the spherical geometry is proposed. The gauge invariant formulation is obtained firstly generalizing the intrinsic geometry of the model and…

High Energy Physics - Theory · Physics 2009-10-31 Clifford Neves , Clovis Wotzasek

Random Phase Approximation (RPA) is the basic method for calculation of excited states of nuclei over the Hartree-Fock ground state, suitable also for energy density functionals (EDF or DFT). We developed a convenient formalism for…

Nuclear Theory · Physics 2025-06-19 Anton Repko , Jan Kvasil , V. O. Nesterenko , P. -G. Reinhard

We exhibit the dynamical scattering of multi-solitons in the Skyrme model for configurations with charge two, three and four. First, we construct maximally attractive configurations from a simple profile function and the product ansatz.…

High Energy Physics - Theory · Physics 2009-10-30 Richard Battye , Paul Sutcliffe

Based on an extended Skyrme momentum-dependent interaction (MDI), we derive an isospin asymmetric equation of state, isospin-dependent single-particle potential and the Hamiltonian which can be used in the Boltzmann-Uehling-Uhlenbeck (BUU)…

Nuclear Theory · Physics 2024-05-16 Junping Yang , Xiang Chen , Ying Cui , Yangyang Liu , Zhuxia Li , Yingxun Zhang

[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

The three-body force is indispensable in nuclear energy density functionals which leads to a density dependent two-body term in the Hartree-Fock approach. Usually a single factional power of density dependency has been adopted. We consider…

Nuclear Theory · Physics 2016-02-17 Xueyu Xiong , Junchen Pei , Wenjun Chen

We calculate correlation energies associated with the quadrupolar shape degrees of freedom with a view to improving the self-consistent mean-field theory of nuclear binding energies. The Generator Coordinate Method is employed using…

Nuclear Theory · Physics 2009-11-10 M. Bender , G. F. Bertsch , P. -H. Heenen

We investigate multi-monopole solutions of a modified version of the BPS Yang-Mills-Higgs model in which a term quartic in the covariant derivatives of the Higgs field (a Skyrme term) is included in the Lagrangian. Using numerical methods…

High Energy Physics - Theory · Physics 2009-11-07 D. Yu. Grigoriev , P. M. Sutcliffe , D. H. Tchrakian

We study kaon-nucleon systems in the Skyrme model in a method based on the bound state approach of Callan-Klebanov but with the kaon around the physical nucleon of the rotating hedgehog. This corresponds to the variation after projection,…

Nuclear Theory · Physics 2016-08-17 Takashi Ezoe , Atsushi Hosaka

In the Skyrme model of nucleons and nuclei, the spin excitation energy of the nucleon is traditionally calculated by a fit of the rigid rotor quantization of spin/isospin of the fundamental Skyrmion (the hedgehog) to the masses of the…

Nuclear Theory · Physics 2016-12-21 C. Adam , J. Sanchez-Guillen , A. Wereszczynski

We study the scattering of two Skyrmions at low energy and large separation. We use the method proposed by Manton for truncating the degrees of freedom of the system from infinite to a manageable finite number. This corresponds to…

High Energy Physics - Theory · Physics 2009-10-28 T. Gisiger , M. B. Paranjape

The BPS Skyrme model is a model containing an $SU(2)$-valued scalar field, in which a Bogomol'nyi-type inequality can be satisfied by soliton solutions. In this model, the energy density of static configurations is the sum of the square of…

High Energy Physics - Theory · Physics 2016-07-26 Árpád Lukács

We use the generalised rational map ansatz introduced by Ioannidou et al. to construct analytically some topologically non-trivial solutions of the generalised SU(3) Skyrme model defined by adding a sixth order term to the usual Lagrangian.…

High Energy Physics - Theory · Physics 2015-06-26 I. Floratos , B. M. A. G. Piette

The BPS Skyrme model is a specific subclass of Skyrme-type field theories which possesses both a BPS bound and infinitely many soliton solutions (skyrmions) saturating that bound, a property that makes the model a very convenient first…

High Energy Physics - Theory · Physics 2015-06-11 C. Adam , C. D. Fosco , J. M. Queiruga , J. Sanchez-Guillen , A. Wereszczynski
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