305 research outputs found
Three-boson problem at low energy and Implications for dilute Bose-Einstein condensates
It is shown that the effective interaction strength of three bosons at small
collision energies can be extracted from their wave function at zero energy. An
asymptotic expansion of this wave function at large interparticle distances is
derived, from which is defined a quantity named three-body scattering
hypervolume, which is an analog of the two-body scattering length. Given any
finite-range interaction potentials, one can thus predict the effective
three-body force from a numerical solution of the Schr\"{o}dinger equation. In
this way the constant for hard-sphere bosons is computed, leading to the
complete result for the ground state energy per particle of a dilute
Bose-Einstein condensate (BEC) of hard spheres to order , where
is the number density. Effects of are also demonstrated in the three-body
energy in a finite box of size , which is expanded to the order ,
and in the three-body scattering amplitude in vacuum. Another key prediction is
that there is a violation of the effective field theory (EFT) in the condensate
fraction in dilute BECs, caused by short-range physics. EFT predictions for the
ground state energy and few-body scattering amplitudes, however, are
corroborated.Comment: 24 pages, no figur
The continuum description with pseudo-state wave functions
Benchmark calculations are performed aiming to test the use of two different
pseudo-state bases on the the Multiple Scattering expansion of the total
Transition amplitude (MST) scattering framework. Calculated differential cross
sections for p-6He inelastic scattering at 717 MeV/u show a good agreement
between the observables calculated in the two bases. This result gives extra
confidence on the pseudo-state representation of continuum states to describe
inelastic/breakup scattering.Comment: 4 pages, 2 figures. Published in Physical Review
Axions Scattering From a Quadrupole Magnetic Field
We study the 2D scattering of axions from an accelerator like quadrupole
magnet using the eikonal approximation in order to learn whether or not such a
setup could serve as a new possible method for detecting axions on terrestrial
experiments. The eikonal approximation in 2D is introduced and explained. We
also apply the eikonal approximation to two known cases in order to compare it
with previous results, obtained using Born's approximation, and discuss its
correctness
Quantitative rescattering theory for laser-induced high-energy plateau photoelectron spectra
A comprehensive quantitative rescattering (QRS) theory for describing the
production of high-energy photoelectrons generated by intense laser pulses is
presented. According to the QRS, the momentum distributions of these electrons
can be expressed as the product of a returning electron wave packet with the
elastic differential cross sections (DCS) between free electrons with the
target ion. We show that the returning electron wave packets are determined
mostly by the lasers only, and can be obtained from the strong field
approximation. The validity of the QRS model is carefully examined by checking
against accurate results from the solution of the time-dependent Schr\"odinger
equation for atomic targets within the single active electron approximation. We
further show that experimental photoelectron spectra for a wide range of laser
intensity and wavelength can be explained by the QRS theory, and that the DCS
between electrons and target ions can be extracted from experimental
photoelectron spectra. By generalizing the QRS theory to molecular targets, we
discuss how few-cycle infrared lasers offer a promising tool for dynamic
chemical imaging with temporal resolution of a few femtoseconds.Comment: 19 pages, 19 figure
Electron release of rare gas atom clusters under an intense laser pulse
Calculating the energy absorption of atomic clusters as a function of the
laser pulse length we find a maximum for a critical . We show that
can be linked to an optimal cluster radius . The existence of this
radius can be attributed to the enhanced ionization mechanism originally
discovered for diatomic molecules. Our findings indicate that enhanced
ionization should be operative for a wide class of rare gas clusters. From a
simple Coulomb explosion ansatz, we derive an analytical expression relating
the maximum energy release to a suitably scaled expansion time which can be
expressed with the pulse length .Comment: 4 pages, 5 figure
Exchange effects on electron scattering through a quantum dot embedded in a two-dimensional semiconductor structure
We have developed a theoretical method to study scattering processes of an
incident electron through an N-electron quantum dot (QD) embedded in a
two-dimensional (2D) semiconductor. The generalized Lippmann-Schwinger
equations including the electron-electron exchange interaction in this system
are solved for the continuum electron by using the method of continued
fractions (MCF) combined with 2D partial-wave expansion technique. The method
is applied to a one-electron QD case. Cross-sections are obtained for both the
singlet and triplet couplings between the incident electron and the QD electron
during the scattering. The total elastic cross-sections as well as the
spin-flip scattering cross-sections resulting from the exchange potential are
presented. Furthermore, inelastic scattering processes are also studied using a
multichannel formalism of the MCF.Comment: 11 pages, 4 figure
Relativistic electronic dressing
We study the effects of the relativistic electronic dressing in
laser-assisted electron-hydrogen atom elastic collisions. We begin by
considering the case when no radiation is present. This is necessary in order
to check the consistency of our calculations and we then carry out the
calculations using the relativistic Dirac-Volkov states. It turns out that a
simple formal analogy links the analytical expressions of the differential
cross section without laser and the differential cross section in presence of a
laser field.Comment: 11 pages, 18 figures, Late
Four-photon scattering in birefringent fibers
Four-photon scattering in nonlinear waveguides is an important physical
process that allows photon-pair generation in well defined guided modes, with
high rate and reasonably low noise. Most of the experiments to date used the
scalar four-photon scattering process in which the pump photons and the
scattered photons have the same polarization. In birefringent waveguides,
vectorial four-photon scattering is also allowed: these vectorial scattering
processes involve photons with different polarizations. In this article, the
theory of four-photon scattering in nonlinear, birefringent, and dispersive
fibers is developed in the framework of the quantum theory of light. The work
focusses on the spectral properties and quantum correlations (including
entanglement) of photon-pairs generated in high-birefringence and
low-birefringence fibers.Comment: 12 pages, 5 figures, submitted to Phys. Rev.
Sympathetic cooling and collisional properties of a Rb-Cs mixture
We report on measurements of the collisional properties of a mixture of
Cs and Rb atoms in a magnetic trap at
temperatures. By selectively evaporating the Rb atoms using a radio-frequency
field, we achieved sympathetic cooling of Cs down to a few . The
inter-species collisional cross-section was determined through rethermalization
measurements, leading to an estimate of for the s-wave scattering
length for Rb in the and Cs in the magnetic
states. We briefly speculate on the prospects for reaching Bose-Einstein
condensation of Cs inside a magnetic trap through sympathetic cooling
Variational approach to the scattering of charged particles by a many-electron system
We report a variational approach to the nonlinearly screened interaction of
charged particles with a many-electron system. This approach has been developed
by introducing a modification of the Schwinger variational principle of
scattering theory, which allows to obtain nonperturbative scattering
cross-sections of moving projectiles from the knowledge of the linear and
quadratic density-response functions of the target. Our theory is illustrated
with a calculation of the energy loss per unit path length of slow antiprotons
moving in a uniform electron gas, which shows good agreement with a fully
nonlinear self-consistent Hartree calculation. Since available self-consistent
calculations are restricted to low heavy-projectile velocities, we expect our
theory to have novel applications to a variety of processes where nonlinear
screening plays an important role.Comment: 10 pages, 2 figures; Accepted to Physical Review
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