54,732 research outputs found
Neutron Transfer reactions induced by 8Li on 9Be
Angular distributions for the elastic scattering of 8Li on 9Be and the
neutron transfer reactions 9Be(8Li,7Li)10Be and 9Be(8Li,9Li)8Be have been
measured with a 27 MeV 8Li radioactive nuclear beam. Spectroscopic factors for
8Li|n=9Li and 7Li|n=8Li bound systems were obtained from the comparison between
the experimental differential cross section and finite-range DWBA calculations
with the code FRESCO. The spectroscopic factors obtained are compared to shell
model calculations and to other experimental values from (d,p) reactions. Using
the present values for the spectroscopic factor, cross sections for the direct
neutron-capture reactions 7Li(n,g)8Li and 8Li(n,g)9Li were calculated in the
framework of a potential model.Comment: 24 pages, 8 Figures, submitted as regular article to PR
K-causality and degenerate spacetimes
The causal relation was introduced by Sorkin and Woolgar to extend the
standard causal analysis of spacetimes to those that are only . Most
of their results also hold true in the case of spacetimes with degeneracies. In
this paper we seek to examine explicitly in the case of Lorentzian
topology changing Morse spacetimes containing isolated degeneracies. We first
demonstrate some interesting features of this relation in globally Lorentzian
spacetimes. In particular, we show that is robust and that it coincides
with the Seifert relation when the spacetime is stably causal. Moreover, the
Hawking and Sachs characterisation of causal continuity translates into a
natural expression in terms of for general spacetimes. We then examine
in topology changing Morse spacetimes both with and without the
degeneracies and find further characterisations of causal continuity.Comment: Latex, 23 pages, 4 figure
The Algebraic Bethe Ansatz and Tensor Networks
We describe the Algebraic Bethe Ansatz for the spin-1/2 XXX and XXZ
Heisenberg chains with open and periodic boundary conditions in terms of tensor
networks. These Bethe eigenstates have the structure of Matrix Product States
with a conserved number of down-spins. The tensor network formulation suggestes
possible extensions of the Algebraic Bethe Ansatz to two dimensions
High-order volterra model predictive control and its application to a nonlinear polymerisation process
Model Predictive Control (MPC) has recently found wide acceptance in the process industry, but the existing design and implementation methods are restricted to linear process models. A chemical process involves, however, severe nonlinearity which cannot be ignored in practice. This paper aims to solve this nonlinear control problem by extending MPC to nonlinear models. It develops an analytical framework for nonlinear model predictive control (NMPC), and also offers a third-order Volterra series based nonparametric nonlinear modelling technique for NMPC design which relieves practising engineers from the need for first deriving a physical-principles based model. An on-line realisation technique for implementing the NMPC is also developed. The NMPC is then applied to a Mitsubishi Chemicals polymerisation reaction process. The results show that this nonlinear MPC technique is feasible and very effective. It considerably outperforms linear and low-order Volterra model based methods. The advantages of the approach developed lie not only in control performance superior to existing NMPC methods, but also in relieving practising engineers from the need for deriving an analytical model and then converting it to a Volterra model through which the model can only be obtained up to the second order
Supernova 1987A: Rotation and a Binary Companion
In this paper we provide a possible link between the structure of the bipolar
nebula surrounding SN1987A and the properties of its progenitor star. A Wind
Blwon Bubble (WBB) scenario is emplyed, in which a fast, tenuous wind from a
Blue Supergiant expands into a slow, dense wind, expelled during an earlier Red
Supergiant phase. The bipolar shapre develops due to a pole-to-equator density
contrast in the slow wind (ie, the slow wind forms a slow torus). We use the
Wind Compressed Disk (WCD) model of Bjorkman & Cassinelli (1992) to determine
the shape of the slow torus. In the WCD scenario, the shape of the torus is
determined by the rotation of the progenitor star. We then use a self-similar
semi-analytical method for wind blown bubble evolution to determine the shape
of the resulting bipolar nebula.
We find that the union of the wind-compressed-disk and bipolar-wind-blown-
bubble models allows us to recover the salient properties of SN1987A's
circumstellar nebula. In particular, the size, speed and density of SN1987A's
inner ring are easily reproduced in our calculations. An exploration of
parameter space shows the the red supergiant progenitor must be been rotating
at > 0.3 of its breakup speed. We conclude that the progenitor was most likely
spun up by a merger with a binary companion. Using a simple model for the
binary merger we find that the companion is likely to have had a mass > 0.5
M_sun.Comment: 30 pages, 4 figure
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