4,774 research outputs found
Characteristics of optical multi-peak solitons induced by higher-order effects in an erbium-doped fiber system
We study multi-peak solitons \textit{on a plane-wave background} in an
erbium-doped fiber system with some higher-order effects, which is governed by
a coupled Hirota and Maxwel-Bloch (H-MB) model. The important characteristics
of multi-peak solitons induced by the higher-order effects, such as the
velocity changes, localization or periodicity attenuation, and state
transitions, are revealed in detail. In particular, our results demonstrate
explicitly that a multi-peak soliton can be converted to an anti-dark soliton
when the periodicity vanishes; on the other hand, a multi-peak soliton is
transformed to a periodic wave when the localization vanishes. Numerical
simulations are performed to confirm the propagation stability of multi-peak
solitons riding on a plane-wave background. Finally, we compare and discuss the
similarity and difference of multi-peak solitons in special degenerate cases of
the H-MB system with general existence conditions.Comment: 7 pages, 4 figure
Small polaron with generic open boundary conditions revisit: exact solution via the off-diagonal Bethe ansatz
The small polaron, an one-dimensional lattice model of interacting spinless
fermions, with generic non-diagonal boundary terms is studied by the
off-diagonal Bethe ansatz method. The presence of the Grassmann valued
non-diagonal boundary fields gives rise to a typical -symmetry-broken
fermionic model. The exact spectra of the Hamiltonian and the associated Bethe
ansatz equations are derived by constructing an inhomogeneous relation.Comment: 12 pages, no figure, published versio
Dissociation Cross Sections of Large-Momentum Charmonia with Light Mesons in Hadronic Matter
Momenta of charmonia created in Pb-Pb collisions at the Large Hadron Collider
are so large that three or more mesons may be produced when the charmonia
collide with light mesons in hadronic matter. We study the meson-charmonium
collision in a mechanism where the collision produces two quarks and two
antiquarks, the charm quark then fragmenting into charmed mesons, and the other
three constituents as well as quarks and antiquarks created from vacuum give
rise to two or more mesons. The absolute square of the transition amplitude for
the production of two quarks and two antiquarks is derived from the -matrix
element, and cross-section formulas are derived from the absolute square of the
transition amplitude and charm-quark fragmentation functions. With a
temperature-dependent quark potential, we calculate unpolarized cross sections
for inclusive , , , or production in scattering of
charmonia by , , , or mesons. At low center-of-mass
energies of the charmonium and the light meson, the cross sections are very
small. At high energies the cross sections have obvious temperature dependence,
and are comparable to peak cross sections of two-to-two meson-charmonium
reactions.Comment: 47 pages, 12 figures, 14 table
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