We study the relevance of strange degrees of freedom for nucleon structure functions. For this purpose we employ the three flavor generalization of the collective quanti-zation approach to the chiral soliton of the bosonized Nambu–Jona–Lasinio model. Contrary to many other soliton models the hadronic tensor is tractable in this model. By applying the Bjorken limit to the hadronic tensor we extr...

We report the initial results for femtosecond electromagnetic soliton propagation and collision obtained from first principles, i.e., by a direct time integration of Maxwell's equations. The time integration efficiently implements linear and nonlinear convolutions for the electric polarization and can take into account such quantum effects as Kerr and Raman interactions. The present approach is...

We introduce the concept of soliton clusters--multisoliton bound states in a homogeneous bulk optical medium--and reveal a key physical mechanism for their stabilization associated with a staircaselike phase distribution that induces a net angular momentum and leads to cluster rotation. The ringlike soliton clusters provide a nontrivial generalization of the concepts of two-soliton spiraling, o...

Excited baryons may be analyzed in the 1/Nc expansion as true resonances in scattering amplitudes. The key idea making this program possible is a generalization of methods originally applied to chiral soliton models in the 1980’s. One finds model-independent relations among amplitudes that impose mass and width degeneracies among resonances of various quantum numbers. Phenomenological evidence ...

We propose a numerical method for finding solitary wave solutions of generalized Korteweg-de Vries equations by solving the nonlinear eigenvalue problem on an unbounded domain. The artificial boundary conditions are obtained to make the domain finite. We specially discuss the soliton solutions of the K(m, n) equation and KdV-K(m, n) equation. Furthermore for the mixed models of linear and nonli...

Theoretical predictions are given for the light-flavor sea-quark distributions including the strange quark ones on the basis of the flavor SU(3) version of the chiral quark soliton model. Careful account is taken here of the SU(3) symmetry breaking effects due to the mass difference between the strange and nonstrange quarks. This effective mass difference ∆ms between the strange and nonstrange ...

A systematic study of multiquark exotics with one or Nc − 1 heavy quarks in the large Nc limit is presented. By binding a chiral soliton to a heavy meson, either a normal Nc-quark baryon or an exotic (Nc + 2)-quark baryon is obtained. By replacing the heavy quark with Nc−1 heavy antiquarks, exotic (2Nc− 2)-quark and 2Nc-quark mesons are obtained. When Nc = 3, they are just the normal triquark b...

In this talk I report on a thorough comparison between the bound state and rigid rotator approaches to generate baryon states with non–zero strangeness in chiral soliton models. This comparison shows that the scattering amplitude in the bound state approach contains contributions generated by the exchange of the rigid pentaquark excitation, and that the two approaches are consistent with each o...

We suggest that breaking of SU(3) flavor symmetry mainly resides in the baryon wave–functions while the charge operators have no (or only small) explicit symmetry breaking components. We utilize the collective coordinate approach to chiral soliton models to support this picture. In particular we compute the gA/gV ratios for hyperon beta–decay and the strangeness contribution to the nucleon axia...

We show that Perelman’s W functional on Kahler manifolds has a natural counterpart on Sasaki manifolds. We prove, using this functional, that Perelman’s results on Kahler-Ricci flow (the first Chern class is positive) can be generalized to Sasaki-Ricci flow, including the uniform bound on the diameter and the scalar curvature along the flow. We also show that positivity of transverse bisectiona...