942 research outputs found
Multibaryons with strangeness, charm and bottom
Static properties of multiskyrmions with baryon numbers up to 8 are
calculated, including momenta of inertia and sigma-term. The calculations are
based on the recently suggested SU(2) rational map ansaetze. Minimization with
the help of SU(3) variational minimization program shows that these
configurations become local minima in SU(3) configuration space. The B-number
dependence of the so called flavour moment of inertia of multiskyrmions playing
an important role in the quantization procedure is close to the linear one. The
spectra of baryonic systems with strangeness, charm and bottom are considered
within a "rigid oscillator" version of the bound state soliton model. The
binding energies estimates are made for the states with largest isospin which
can appear as negatively charged nuclear fragments, as well as for states with
zero isospin - light fragments of "flavoured" nuclear matter. Our results
confirm the previously made observation that baryonic systems with charm or
bottom quantum numbers have more chance to be stable with respect to strong
interactions than strange baryonic systems.Comment: 13 pages, no figures. Submitted to Eur. Phys.
Chern-Simons Particles with Nonstandard Gravitational Interaction
The model of nonrelativistic particles coupled to nonstandard (2+1)-gravity
[1] is extended to include Abelian or non-Abelian charges coupled to
Chern-Simons gauge fields. Equivalently, the model may be viewed as describing
the (Abelian or non-Abelian) anyonic dynamics of Chern-Simons particles
coupled, in a reparametrization invariant way, to a translational Chern-Simons
action. The quantum two-body problem is described by a nonstandard
Schr\"{o}dinger equation with a noninteger angular momentum depending on energy
as well as particle charges. Some numerical results describing the modification
of the energy levels by these charges in the confined regime are presented. The
modification involves a shift as well as splitting of the levels.Comment: LaTeX, 1 figure (included), 14 page
Canonical surfaces associated with projectors in Grassmannian sigma models
We discuss the construction of higher-dimensional surfaces based on the harmonic maps of S2 into PN−1 and other Grassmannians. We show that there are two ways of implementing this procedure—both based on the use of the relevant projectors. We study various properties of such projectors and show that the Gaussian curvature of these surfaces, in general, is not constant. We look in detail at the surfaces corresponding to the Veronese sequence of such maps and show that for all of them this curvature is constant but its value depends on which mapping is used in the construction of the surface
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