10,489 research outputs found
Global bifurcation for the Whitham equation
We prove the existence of a global bifurcation branch of -periodic,
smooth, traveling-wave solutions of the Whitham equation. It is shown that any
subset of solutions in the global branch contains a sequence which converges
uniformly to some solution of H\"older class , . Bifurcation formulas are given, as well as some properties along
the global bifurcation branch. In addition, a spectral scheme for computing
approximations to those waves is put forward, and several numerical results
along the global bifurcation branch are presented, including the presence of a
turning point and a `highest', cusped wave. Both analytic and numerical results
are compared to traveling-wave solutions of the KdV equation
Relativistic quark model and pentaquark spectroscopy
The relativistic five-quark equations are found in the framework of the
dispersion relation technique. The solutions of these equations using the
method based on the extraction of leading singularities of the amplitudes are
obtained. The five-quark amplitudes for the low-lying pentaquarks are
calculated under the condition that flavor SU(3) symmetry holds. The poles of
five-quark amplitudes determine the masses of the lowest pentaquarks. The mass
spectra of pentaquarks which contain only light quarks are calculated. The
calculation of pentaquark amplitudes estimates the contributions of three
subamplitudes. The main contributions to the pentaquark amplitude are
determined by the subamplitudes, which include the meson states.Comment: 22 pages, pd
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