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Recent theoretical developments in the four-boson system with resonant interactions are described. Momentum-space scattering equations for the four-particle transition operators are used. The properties of unstable tetramers with…

Atomic Physics · Physics 2015-06-12 A. Deltuva

We present a (possibly) new sphere eversion based on the contractibility* of a certain subset of the space of immersions of the circle in the plane. (*: by strong deformation retraction)

Geometric Topology · Mathematics 2014-10-30 Arnaud Chéritat

This study employs the isospin-dependent Boltzmann-Uehling-Uhlenbeck model to simulate intermediate-energy heavy-ion collisions between prolate nuclei $^{24}$Mg. The emphasis is on investigating the influence of centrality and orientation…

Nuclear Theory · Physics 2023-09-12 Xiao-Hua Fan , Zu-Xing Yang , Peng-Hui Chen , Shunji Nishimura , Zhi-Pan Li

This article is a survey about or introduction to certain aspects of the complex geometry of a hypothetical complex structure on the six-sphere. We discuss a result of Peternell--Campana--Demailly on the algebraic dimension of a…

Complex Variables · Mathematics 2019-12-23 Christian Lehn , Sönke Rollenske , Caren Schinko

We investigate phase transitions in boson-fermion systems. We propose an analytically solvable model (E(5/12)) to describe odd nuclei at the critical point in the transition from the spherical to $\gamma$-unstable behaviour. In the model, a…

Nuclear Theory · Physics 2008-11-26 C. E. Alonso , J. M. Arias , A. Vitturi

In this paper we compute the first and second variation of the normalized Einstein-Hilbert functional on CR manifolds. We characterize critical points as pseudo-Einstein structures. We then turn to the second variation on standard spheres.…

Differential Geometry · Mathematics 2023-06-14 Claudio Afeltra , Jih-Hsin Cheng , Andrea Malchiodi , Paul Yang

The XY spin chain is a paradigmatic example of a model solved by free fermions, in which the energy eigenspectrum is built from combinations of quasi-energies. In this article we show that by extending the XY model's anisotropy parameter…

Quantum Physics · Physics 2025-10-13 Robert A. Henry , D. C. Liu , Murray T. Batchelor

Exceptional points (EPs) are exotic degeneracies of non-Hermitian systems, where the eigenvalues and the corresponding eigenvectors simultaneously coalesce in parameter space, and these degeneracies are sensitive to tiny perturbations on…

Existence of a complex structure on the $6$ dimensional sphere is proved in this paper. The proof is based on re-interpreting a hypothetical complex structure as a classical ground state of a Yang--Mills--Higgs-like theory on $S^6$. This…

Differential Geometry · Mathematics 2015-09-09 Gabor Etesi

We study weakly-bound deformed nuclei based on the coordinate-space Skyrme Hartree-Fock-Bogoliubov approach, in which a large box is employed for treating the continuum and surface diffuseness. Approaching the limit of core-halo deformation…

Nuclear Theory · Physics 2015-06-12 J. C. Pei , Y. N. Zhang , F. R. Xu

We introduce and study bridge decompositions for 3-manifolds embedded in the 5-sphere. These generalize both the classical notion of bridge position for knots in the 3-sphere and the bridge trisections of surfaces in the 4-sphere due to…

Geometric Topology · Mathematics 2026-04-15 Román Aranda , Sarah Blackwell , Geunyoung Kim , Patrick Naylor , Puttipong Pongtanapaisan

Any 2-bridge knot in the 3-sphere has a bridge sphere from which any other bridge surface can be obtained by stabilization, meridional stabilization, perturbation and proper isotopy.

Geometric Topology · Mathematics 2007-05-23 Martin Scharlemann , Maggy Tomova

Higgs bosons which decay principally to top quarks, such as in the minimal supersymmetric model, produce a peak-dip structure in the $gg\to t\bar t$ invariant-mass spectrum. This structure is potentially observable at the CERN Large Hadron…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Dicus , A. Stange , S. Willenbrock

We examine the prospect of demonstrating Einstein-Podolsky-Rosen (EPR) entanglement for massive particles using spin-changing collisions in a spinor Bose-Einstein condensate. Such a demonstration has recently been attempted by Gross et al.…

Quantum Physics · Physics 2013-12-17 R. J. Lewis-Swan , K. V. Kheruntsyan

The formal deformation space of a supersingular Barsotti-Tate group over of dimension two equipped with an action of Z_{p^2} is known to be isomorphic to the formal spectrum of a power series ring in two variables. If one chooses an extra…

Number Theory · Mathematics 2012-03-01 Benjamin Howard

The EPRB experiment with massive partcles can be formulated if one defines spin in a relativistic way. Two versions are discussed: The one using the spin operator defined via the relativistic center-of-mass operator, and the one using the…

Quantum Physics · Physics 2009-10-30 Marek Czachor

We consider the canonical ensemble of $N$-vertex Erd\H{o}s-R\'enyi (ER) random topological graphs with quenched vertex degree, and with fugacity $\mu$ for each closed triple of bonds. We claim complete defragmentation of large-$N$ graphs…

Statistical Mechanics · Physics 2016-12-28 V. Avetisov , M. Hovhannisyan , A. Gorsky , S. Nechaev , M. Tamm , O. Valba

Various solutions to higher-dimensional Einstein equations coupled to a series of physically different sources are considered and their properties of localization of gravity discussed. A numerical example of a solution to the Einstein…

High Energy Physics - Theory · Physics 2007-05-23 Ewald Roessl

We consider a meromorphic family of endomorphisms of degree at least 2 of a complex projective space that is parameterized by the unit disk.We prove that the measure of maximal entropy of these endomorphisms converges to the equilibrium…

Dynamical Systems · Mathematics 2018-01-01 Charles Favre

We study the Georgi-Machacek two triplet, one doublet model in the context of LEP2, and show that cascade decays of Higgs bosons to lighter Higgs bosons and a virtual vector boson may play a major role. Such decays would allow the Higgs…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. G. Akeroyd