Larry Carson

Novel structure of static multisoliton solutions in the Skyrme model

Abstract An economical discretization of the Skyrme model on a cubic lattice is used to calculate static multisoliton solutions. Previously known solutions corresponding to baryon numbers B =1 and 2 are reproduced and new solutions corresponding to B =3, 4, 5 and 6 are found. Surfaces of constant baryon number density are presented and reveal the rich internal structure of the new solutions. In particular, the pion fields describing the solitons with B =3 and 4 are found to possess tetrahedral ( 4 3>m) and octahedral ( m 3 m ) symmetry, respectively.

Line functional theory for strings. I.

String field theory is defined as a theory of line functionals (functions of geometric lines) which reproduces classical Nambu-Goto string dynamics in a certain limit. Various properties of geometric line space are reviewed, and the unique measure on the space of lines is also given. The connection of the string field equation to Nambu-Goto string dynamics is made in the

Upsilon. (10580) r arrow J /. psi. + X in a color hybrid model

{x}_{0}

Deuteron as a toroidal Skyrmion.

=\ensuremath{\tau} gauge, which necessitates the introduction of multicomponent line functionals and new generalizations of the Dirac algebra. As a consequence the string fields transform nontrivially under Lorentz transformations and describe either bosons or fermions depending on the parameters of the equation. The equation is solved in three dimensions, which yields typical string excitations with an equally spaced mass-squared spectrum and linearly rising trajectories. We find no tachyon. Moreover, ground states are always massless, irrespective of the values of the five parameters defining the equation.

Exact computation of the small-fluctuation determinant around a sphaleron.

Estimates are presented for the decay width of the inclusive process {Upsilon}{sub 8}{r arrow}{ital J}/{psi}+{ital X}, where {Upsilon}{sub 8} is a color hybrid {ital b{bar b}g} of the {Upsilon}(4{ital S}) in which the {ital b} and {ital {bar b}} quarks occupy a {sup 1}{ital S}{sub 0} color-octet state. Invoking the color evaporation hypothesis, we find that {Gamma}({Upsilon}{sub 8}{r arrow}{ital J}/{psi}+{ital X}){le}{Gamma}({Upsilon}{sub 8}{r arrow}{ital c{bar c}g}){congruent}2.8 keV when the invariant mass of the {ital c{bar c}} pair is constrained to lie below the open charm threshold of 2{ital M}{sub {ital D}}. Suppression factors due to conversion of the {ital c{bar c}} pair into {ital J}/{psi} and to mixing with the color-singlet state are expected to lead to an observed rate for {Upsilon}(10580){r arrow}{ital J}/{psi}+{ital X} that is comparable to {Gamma}({Upsilon}(1{ital S}){r arrow}{ital J}/{psi}+{ital X}){congruent}60 eV, and thus consistent with experimental bounds on the non-{ital B{bar B}} decay modes of the {Upsilon}(10580).