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Related papers: On the Nucleon Stability and Sigma_N Term Puzzles

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Extending a recent suggestion for hyperon form factors to the nucleon case, dispersion theory is used to relate the low-energy vector-isovector form factors of the nucleon to the pion vector form factor. The additionally required input,…

High Energy Physics - Phenomenology · Physics 2018-02-14 Stefan Leupold

We consider the nonlinear focusing Klein-Gordon equation in $1 + 1$ dimensions and the global space-time dynamics of solutions near the unstable soliton. Our main result is a proof of optimal decay, and local decay, for even perturbations…

Analysis of PDEs · Mathematics 2024-10-08 Adilbek Kairzhan , Fabio Pusateri

We investigate stability of (2+1)-dimensional ring solitons of the nonlinear Schrodinger equation with focusing cubic and defocusing quintic nonlinearities. Computing eigenvalues of the linearised equation, we show that rings with spin…

Pattern Formation and Solitons · Physics 2009-11-07 I. Towers , A. V. Buryak , R. A. Sammut , B. A. Malomed , L. C. Crasovan , D. Mihalache

At low temperature, information can be stored in the orientation of the localized magnetic moment of an adatom. However, scattering of electrons and phonons with the nanomagnet leads its state to have incoherent classical dynamics and might…

Mesoscale and Nanoscale Physics · Physics 2017-03-28 M. Marciani , C. Hübner , B. Baxevanis

We discuss the stability and construct dynamical configurations describing the gravitational collapse of unstable neutron stars with realistic equations of state compatible with the recent LIGO-Virgo constraints. Unlike other works that…

General Relativity and Quantum Cosmology · Physics 2020-06-17 J. M. Z. Pretel , M. F. A. da Silva

The relationship between the lower limit on the nuclear stability lifetime as derived from the non disappearance of `stable` nuclei ($T_{d}~\gtrsim~5.4~\times~10^{31}$ yr), and the lower limit thus implied on the oscillation time $(\tau_{n…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gal

Stability of spatially inhomogeneous solutions to the Vlasov equation is investigated for the Hamiltonian mean-field model to provide the spectral stability criterion and the formal stability criterion in the form of necessary and…

Statistical Mechanics · Physics 2013-06-12 Shun Ogawa

In the present work, we introduce a new $\mathcal{PT}$-symmetric variant of the Klein-Gordon field theoretic problem. We identify the standing wave solutions of the proposed class of equations and analyze their stability. In particular, we…

Pattern Formation and Solitons · Physics 2014-09-26 Aslihan Demirkaya , Panayotis G. Kevrekidis , Milena Stanislavova , Atanas Stefanov

A nontopological soliton solution of dilaton-Maxwell theory describes a domain wall-like solution which confines magnetic flux in its core [G.W. Gibbons and C.G. Wells, Class. Quant. Grav. 11, 2499 (1994)]. Since the solution is not…

High Energy Physics - Theory · Physics 2014-11-04 J. R. Morris

We examine the existence and stability of nonlinear discrete vortex solitons in a square lattice when the standard discrete Laplacian is replaced by a fractional version. This creates a new, effective site-energy term, and a coupling among…

Pattern Formation and Solitons · Physics 2021-05-19 Cristian Mejía-Cortés , Mario I. Molina

Profiles of static solitons in one-dimensional scalar field theory satisfy the same equations as trajectories of a fictitious particle in multidimensional mechanics. We argue that the structure and properties of the solitons are essentially…

High Energy Physics - Theory · Physics 2020-07-13 D. G. Levkov , V. E. Maslov , E. Ya. Nugaev

We show that stable localized topological soliton textures (skyrmions) with $\pi_2$ topological charge $\nu \geq 1$ exist in a classical 2D Heisenberg model of a ferromagnet with uniaxial anisotropy. For this model the soliton exist only if…

Statistical Mechanics · Physics 2015-05-13 E. G. Galkina , E. V. Kirichenko , B. A. Ivanov , V. A. Stephanovich

The putative recent indication of an unidentified 3.55 keV X-ray line in certain astrophysical sources is taken as a motivation for an improved theoretical computation of the cosmological abundance of 7.1 keV sterile neutrinos. If the line…

High Energy Physics - Phenomenology · Physics 2015-12-07 J. Ghiglieri , M. Laine

We study the stability of bound antiprotons in close proximity to the atomic nucleus. Using experimental data from X-ray spectroscopy measurements of antiprotonic atom transitions, we tune a minimal theoretical framework and estimate…

Atomic Physics · Physics 2025-07-25 Fredrik Parnefjord Gustafsson , Daniel Pęcak , Tomasz Sowiński

In the present article the snake instability mechanism for dark solitons in superfluid Fermi gases is studied in the context of a recently developed effective field theory [Eur. Phys. J. B 88, 122 (2015)]. This theoretical treatment has…

Quantum Gases · Physics 2017-10-11 Giovanni Lombardi , Wout Van Alphen , Sergei N. Klimin , Jacques Tempere

Light-like galileon solutions have been used to investigate the chronology problem in galileon-like theories, and in some cases may also be considered as solitons, evading a non-existence constraint from a zero-mode argument. Their…

High Energy Physics - Theory · Physics 2014-06-30 Shuang-Yong Zhou

Equation for the sum of BFKL pomeron fan diagrams is rederived by direct summation and solved numerically for rapidities $y\leq 50$. At high rapidities y>20 the resulting cross-sections for the scattering of a longitudinally polarized…

High Energy Physics - Phenomenology · Physics 2011-09-13 M. A. Braun

We consider the existence and stability of the hole, or dark soliton, solution to a Ginzburg-Landau perturbation of the defocusing nonlinear Schroedinger equation (NLS), and to the nearly real complex Ginzburg-Landau equation (CGL). By…

patt-sol · Physics 2009-10-31 Todd Kapitula , Jonathan Rubin

Frequency stability is key to performance of nanoresonators. This stability is thought to reach a limit with the resonator's ability to resolve thermally-induced vibrations. Although measurements and predictions of resonator stability…

We present a detailed numerical study of solutions to the Zakharov-Kuznetsov equation in three spatial dimensions. The equation is a three-dimensional generalization of the Korteweg-de Vries equation, though, not completely integrable. This…

Analysis of PDEs · Mathematics 2021-05-05 C. Klein , S. Roudenko , N. Stoilov
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