11,823 research outputs found
Square-well solution to the three-body problem
The angular part of the Faddeev equations is solved analytically for s-states
for two-body square-well potentials. The results are, still analytically,
generalized to arbitrary short-range potentials for both small and large
distances. We consider systems with three identical bosons, three non-identical
particles and two identical spin-1/2 fermions plus a third particle with
arbitrary spin. The angular wave functions are in general linear combinations
of trigonometric and exponential functions. The Efimov conditions are obtained
at large distances. General properties and applications to arbitrary potentials
are discussed. Gaussian potentials are used for illustrations. The results are
useful for numerical calculations, where for example large distances can be
treated analytically and matched to the numerical solutions at smaller
distances. The saving is substantial.Comment: 34 pages, LaTeX file, 9 postscript figures included using epsf.st
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Transcranial magnetic stimulation disrupts the perception and embodiment of facial expressions
Copyright © 2008 Society for Neuroscience and the authors. The The Journal of Neuroscience uses a Creative Commons Attribution-NonCommercial-ShareAlike licence: http://creativecommons.org/licenses/by-nc-sa/4.0/.Theories of embodied cognition propose that recognizing facial expressions requires visual processing followed by simulation of the somatovisceral responses associated with the perceived expression. To test this proposal, we targeted the right occipital face area (rOFA) and the face region of right somatosensory cortex (rSC) with repetitive transcranial magnetic stimulation (rTMS) while participants discriminated facial expressions. rTMS selectively impaired discrimination of facial expressions at both sites but had no effect on a matched face identity task. Site specificity within the rSC was demonstrated by targeting rTMS at the face and finger regions while participants performed the expression discrimination task. rTMS targeted at the face region impaired task performance relative to rTMS targeted at the finger region. To establish the temporal course of visual and somatosensory contributions to expression processing, double-pulse TMS was delivered at different times to rOFA and rSC during expression discrimination. Accuracy dropped when pulses were delivered at 60–100 ms at rOFA and at 100–140 and 130–170 ms at rSC. These sequential impairments at rOFA and rSC support embodied accounts of expression recognition as well as hierarchical models of face processing. The results also demonstrate that nonvisual cortical areas contribute during early stages of expression processing.Biotechnology and Biological Sciences Research Counci
Efimov effect in nuclear three-body resonance decays
We investigate the effects of the nearly fulfilled Efimov conditions on the
properties of three-body resonances. Using the hyper-spheric adiabatic
expansion method we compute energy distributions of fragments in a three-body
decay of a nuclear resonance. As a realistic example we investigate the 1-
state in the halo nucleus 11Li within a three-body 9Li+n+n model.
Characteristic features appear as sharp peaks in the energy distributions.
Their origin, as in the Efimov effect, is in the large two-body s-wave
scattering lengths between the pairs of fragments
Complex scaling of the hyper-spheric coordinates and Faddeev equations
We implement complex scaling of Faddeev equations using hyper-spheric
coordinates and adiabatic expansion. Complex scaling of coordinates allows
convenient calculations of three-body resonances. We derive the necessary
equations and investigate the adiabatic spectrum at large distances. We
illustrate the viability of the implementation by calculations of several
three-body resonances: a resonance in a model benchmark system of three
identical bosons; the resonance in the He nucleus within the
model; and the two resonances in C within the
three- model.Comment: 20 pages, 10 figure
Relative production rates of He, Be, C in astrophysical environments
We assume an environment of neutrons and -particles of given density
and temperature where nuclear syntheses into He, Be and C
are possible. We investigate the resulting relative abundance as a function of
density and temperature. When the relative abundance of -particles
is between 0.2 and 0.9, or larger than 0.9, the largest production
is Be or C, respectively. When He is mostly
frequently produced for temperatures above about 2 GK whereas the Be
production dominates at smaller temperatures.Comment: 5 pages, 4 figure
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