We discuss axially symmetric time-dependent Hartree-Fock calculations using a finite-range modification of the Skyrme energy functional. The finite-difference forms of the coordinate-space time-dependent Hartree-Fock equations, the method of time evolution, and other numerical aspects are presented. Detailed results for 84Krinduced deep-inelastic collisions with 208Pb at E 1,b = 494 MeV and wit...

We present a theoretical approach for understanding the stability of simple metal nanowires, in particular monovalent metals such as the alkalis and noble metals. Their cross sections are of order one nanometer so that small perturbations from external (usually thermal) noise can cause large geometrical deformations. The nanowire lifetime is defined as the time required for making a transition ...

We discuss the exact chiral symmetry and its spontaneous breakdown in lattice QCD with the Dirac operators satisfying the GinspargWilson relation. The axial vector current, which turns out to be related to the vector current simply by the insertion of the operator γ5(1−aD), is explicitly constructed in the case of the Neuberger-Dirac operator. We also consider an Euclidean proof of the Nambu-Go...

We modify the formulation of Hertz contact theory between two elastic half-solids with axial symmetry and show that these modifications to Hertz's original framework allow the development of force laws of the form F [Please see symbol] z(n), 1 < n < ∞, where F is the force and z is the distance between the centers of the two solids. The study suggests that it may be possible to design physical ...

We study the most general form of a three dimensional classical integrable system with axial symmetry and invariant under the axis reflection. We assume that the three constants of motion are the Hamiltonian, H , with the standard form of a kinetic part plus a potential dependent on the position only, the z-component of the angular momentum, L, and a Hamiltonian-like constant, H̃, for which the ...

Meson-baryon couplings between positive and negative parity nucleons are investigated using two point correlation functions in the soft meson and the chiral limit. We find that the πNN coupling vanishes due to chiral symmetry, while the ηNN coupling remains finite. We perform an analysis based on the algebraic method for SU(2) chiral symmetry, and find that nucleon axial charges play an essenti...

Using the grassman-number-integral representation of the vacuum overlap formula, it is shown that the symmetry of the auxiliary quantum fermion system in the overlap formalism induces exact chiral symmetry of the action of the type given by Luscher under the chiral transformation δψn = γ5(1 − aD)ψn and δψ̄n = ψ̄nγ5. With this relation, we consider the connection between the covariant form of the ...

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...

Simulations of four-dimensional SU(2) lattice gauge theory are performed with partial axial gauge fixing trees spanning three of the four dimensions. The remaining SU(2) gauge symmetry, global in three directions and local in one, is found to break spontaneously at weak coupling, with the average fourth-dimension-pointing link in each perpendicular hyperplane as order parameter. The symmetry is...

We first outline the calculations of the neutron-proton mass difference and of the axial singlet matrix element (relevant to the “proton spin” puzzle) in a generalized Skyrme model of pseudoscalars and vectors. These two calculations are, perhaps surprisingly, linked to each other and furthermore are sensitive to some fine details of symmetry breaking in the effective meson Lagrangian. This pro...