We analyse the decay Θs(1/2)→ NK in a non-relativistic Fock space description using three and five constituent quarks for the nucleon and the pentaquark, respectively. Following Jaffe and Wilczek [1], we assume that quark-quark correlations in spin-zero state play an important role for the pentaquark internal structure. Within this scenario, a strong dynamical suppression of the decay width is ...

In this paper we study the homogeneous conic system F : Ax = 0, x ∈ C \ {0}. We choose a point s̄ ∈ intC∗ that serves as a normalizer and consider computational properties of the normalized system Fs̄ : Ax = 0, s̄T x = 1, x ∈ C. We show that the computational complexity of solving F via an interior-point method depends only on the complexity value θ of the barrier for C and on the symmetry of the ...

In the neutron-deuteron scattering, four total cross sections are shown to form a complete set for the determination of the imaginary parts of the forward amplitudes because of the optical theorem. The amplitudes are decomposed into scalar and tensor ones in the spin space. Contributions of threenucleon forces (3NF) to these amplitudes are studied, by the Faddeev calculation, which predicts sig...

We study the non relativistic limit of a Model of Fermions interacting through a Chern-Simons Field, from a perspective that resembles the Wilson’s Renormalization Group approach, instead of the more usual approach found in most texts of Field Theory. The solution of some difficulties, and a new understanding of non relativistic models is given. Models of a Chern-Simons [1] field interacting wi...

It is evident that behaviour of many fluids varies with varying temperature. We present mathematical properties of unsteady planar flows of shear thinning incompressible fluids where the change of the temperature influences the viscosity, which is at the same time shear thinning (power law fluids with power law index r − 2 < 0). Contrary of [2] (where a threedimensional flow is studied for 9/5 ...

Variational inference using the reparameterization trick has enabled large-scale approximate Bayesian inference in complex probabilistic models, leveraging stochastic optimization to sidestep intractable expectations. The reparameterization trick is applicable when we can simulate a random variable by applying a (differentiable) deterministic function on an auxiliary random variable whose distr...

We present a new approach for modeling strongly anisotropic crystal and epitaxial growth using regularized, anisotropic Cahn-Hilliard-type equations. Such problems arise during the growth and coarsening of thin films. When the surface anisotropy is sufficiently strong, sharp corners form and unregularized anisotropic Cahn-Hilliard equations become ill-posed. Our models contain a high order Will...

Small 3D magnetic perturbations have many interesting and useful effects on tokamak and quasi-symmetric stellarator plasmas. Plasma transport equations that include these effects, most notably on diamagnetic-level toroidal plasma rotation, have recently been developed. The 3D magnetic perturbations and their plasma effects can be classified according to their toroidal mode number n. Low n non-r...

Matrix models of Yang-Mills type induce an effective gravity theory on 4-dimensional branes, which are considered as models for dynamical space-time. We review recent progress in the understanding of this emergent gravity. The metric is not fundamental but arises effectively in the semi-classical limit, along with nonabelian gauge fields. This leads to a mechanism for protecting certain geometr...