15992047
An analysis of the two-vortex case in the Chern-Simons Higgs model
Abstract. Extending work of Caffarelli-Yang and Tarantello, we present a variational existence proof for two-vortex solutions of the periodic Chern-Simons Higgs model and analyze the asymptotic behavior of these solutions as the parameter coupling the gauge field with the scalar field tends to 0.

119275897
A new mass for asymptotically flat manifolds
Abstract In this paper we introduce a mass for asymptotically flat manifolds by using the Gauss–Bonnet curvature. We first prove that the mass is well-defined and is a geometric invariant, if the Gauss–Bonnet curvature is integrable and the decay order τ satisfies τ > n − 4 3 . Motivated by an elegant idea of Lam [35] , we then show a positive mass theorem for this new mass for asymptotically flat graphs over R n . Moreover we obtain various Penrose type inequalities in this case. In these Penrose type inequalities we establish relationship between the new mass and various geometric integrals.
14727533
Transverse Kähler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds
In this paper we study compact Sasaki manifolds in view of transverse K\"ahler geometry and extend some results in K\"ahler geometry to Sasaki manifolds. In particular we define integral invariants which obstruct the existence of transverse K\"ahler metric with harmonic Chern forms. The integral invariant $f_1$ for the first Chern class case becomes an obstruction to the existence of transverse K\"ahler metric of constant scalar curvature. We prove the existence of transverse K\"ahler-Ricci solitons (or {\it Sasaki-Ricci soliton}) on compact toric Sasaki manifolds whose basic first Chern form of the normal bundle of the Reeb foliation is positive, and in particular the existence of Sasaki-Einstein metrics for compact toric Sasaki manifolds with vanishing $f_1$. We will further show that if $S$ is a compact toric Sasaki manifold such that the basic first Chern class is positive then by deforming the Reeb field we get a Sasaki-Einstein structure on $S$. As an application we obtain irregular toric Sasaki-Einstein metrics on the unit circle bundles of the powers of the anti-canonical bundle of the two-point blow-up of the complex projective plane.
119302009
The Gauss-Bonnet-Chern mass of conformally flat manifolds
In this paper we show positive mass theorems and Penrose type inequalities for the Gauss-Bonnet-Chern mass, which was introduced recently in \cite{GWW}, for asymptotically flat CF manifolds and its rigidity.
120240396
Non-Topological Solutions of the Relativistic SU(3) Chern–Simons Higgs Model
Abstract:In this paper, we obtain non-topological solutions of the self-dual equations arising in the relativistic SU(3) Chern–Simons Higgs model.
118617483
A positive mass theorem in the Einstein-Gauss-Bonnet theory
As an interesting application of the Einstein-Gauss-Bonnet theory and our work on the Gauss-Bonnet-Chern mass (Ge, Wang, Wu), we obtain a positive mass theorem for asymptotically flat graphs in $\R^{n+1}$ under a condition that $R+\alpha L_2$ is non-negative, where $R$ is the scalar curvature, $\alpha\in\R$ a constant and $L_2$ the second Gauss-Bonnet curvature. A Penrose type inequality is also obtained in the case $\alpha>0$.
14177196
The Layer Phase in the Non-isotropic SU(3) Gauge Model at Finite Temperature
The phase structure of a non-isotropic non-Abelian SU(3) lattice gauge model at finite temperature is investigated to the third order in the variational-cumulant expansion (VCE) approach. The layer phase exists in this model in the cases of dimensions D=4, D=5 (d=D-1).
107782453
Reducing the Impedance of the Flange Gaps in BEPC Vacuum Chamber
115151673
Identification of baryon resonances in central heavy-ion collisions at energies between 1 and 2 AGeV

Abstract. The mass distributions of baryon resonances populated in near-central collisions of Au on Au and Ni on Ni are deduced by defolding the pt spectra of charged pions by a method which does not depend on a specific resonance shape. In addition the mass distributions of resonances are obtained from the invariant masses of (p, π±) pairs. With both methods the deduced mass distributions are shifted by an average value of −60 MeV/c2 relative to the mass distribution of the free Δ(1232) resonance, the distributions descent almost exponentially towards mass values of 2000 MeV/c2. The observed differences between (p, π−) and (p, π+) pairs indicate a contribution of isospin I = 1/2 resonances. The attempt to consistently describe the deduced mass distributions and the reconstructed kinetic energy spectra of the resonances leads to new insights about the freeze out conditions, i.e. to rather low temperatures and large expansion velocities.
118611881
A study on the relations between the topological parameter and entanglement
Abstract In this Letter, some relations between the topological parameter d and concurrences of the projective entangled states have been presented. It is shown that for the case with d = n , all the projective entangled states of two n -dimensional quantum systems are the maximally entangled states (i.e. C = 1 ). And for another case with d ≠ n , C both approach 0 when d → + ∞ for n = 2 and 3. Then we study the thermal entanglement and the entanglement sudden death (ESD) for a kind of Yang–Baxter Hamiltonian. It is found that the parameter d influences not only the critical temperature T c but also the maximum entanglement value that the system can arrive at. And we also find that the parameter d has a great influence on the ESD.
119956852
Energy quantization and intermittency in multiparticle production
We propose a simple model to describe the multiparticle production in high-energy hadronic interactions. As a result of energy quantization of the excitation system formed in collisions, the model naturally explains the intermittency phenomenon as well as other properties in multiparticle productions.