7,281 research outputs found
Solvable Lie algebras are not that hypo
We study a type of left-invariant structure on Lie groups, or equivalently on
Lie algebras. We introduce obstructions to the existence of a hypo structure,
namely the 5-dimensional geometry of hypersurfaces in manifolds with holonomy
SU(3). The choice of a splitting g^*=V_1 + V_2, and the vanishing of certain
associated cohomology groups, determine a first obstruction. We also construct
necessary conditions for the existence of a hypo structure with a fixed
almost-contact form. For non-unimodular Lie algebras, we derive an obstruction
to the existence of a hypo structure, with no choice involved. We apply these
methods to classify solvable Lie algebras that admit a hypo structure.Comment: 21 pages; v2: presentation improved, typos corrected, notational
conflicts eliminated. To appear in Transformation Group
Pauli blocking and medium effects in nucleon knockout reactions
We study medium modifications of the nucleon-nucleon (NN) cross sections and
their influence on the nucleon knockout reactions. Using the eikonal
approximation, we compare the results obtained with free NN cross sections with
those obtained with a purely geometrical treatment of Pauli-blocking and with
NN obtained with more elaborated Dirac-Bruecker methods. The medium effects are
parametrized in terms of the baryon density. We focus on symmetric nuclear
matter, although the geometrical Pauli-blocking allows for the treatment of
asymmetric nuclear matter. It is shown that medium effects can change the
nucleon knockout cross sections and momentum distributions up to 10% in the
energy range E=50-300 MeV/nucleon. The effect is more evident in reactions
involving halo nuclei.Comment: 10 pages, 9 figures, accepted for publication in Physics Review
Finding a reflexive voice : -- researching the problems of implementing new learning practices within a New Zealand manufacturing organisation : a 100pt thesis presented in partial fulfilment of the requirements for the degree of Master of Management in Human Resources Management at Massey University
This study explored the social forces mediating manager's participation in a new reflexive participative learning practice designed to improve profitability within a New Zealand manufacturing organisation. Despite a large theoretical and managerial body of literature on organisational learning there has been little empirical investigation of how people experience and engage their reflexivity towards challenging the status-quo to create high level learning and new knowledge. Power was identified as a potential moderator of the reflexive learning experience and the variable relations of power and learning were constructed from a review of literature and these relationships were explored and investigated within the case study. Two prevailing discourses were identified as powerful moderators of public reflexivity, the traditionalist discourse which constructed managers actions and conversations towards insularism and survivalist concerns and the productionist discourse in which institutionalised production practices encircled and mediated managers actions and what constituted legitimacy in conversations. This study used a critical action research method to place the reflexive experience of managers and the researcher at the centre of the study and provide data representative of the social discourses that constructed variable freedoms and constraints upon the reflexive voice
Relativistic model for the nonmesonic weak decay of single-lambda hypernuclei
Having in mind its future extension for theoretical investigations related to
charmed nuclei, we develop a relativistic formalism for the nonmesonic weak
decay of single- hypernuclei in the framework of the
independent-particle shell model and with the dynamics represented by the
one-meson-exchange model. Numerical results for the
one-nucleon-induced transition rates of are
presented and compared with those obtained in the analogous nonrelativistic
calculation. There is satisfactory agreement between the two approaches, and
the most noteworthy difference is that the ratio is
appreciably higher and closer to the experimental value in the relativistic
calculation. Large discrepancies between ours and previous relativistic
calculations are found, for which we do not encounter any fully satisfactory
explanation. The most recent experimental data is well reproduced by our
results. In summary, we have achieved our purpose to develop a reliable model
for the relativistic calculation of the nonmesonic weak decay of
-hypernuclei, which can now be extended to evaluate similar processes
in charmed nuclei
Calabi-Yau cones from contact reduction
We consider a generalization of Einstein-Sasaki manifolds, which we
characterize in terms both of spinors and differential forms, that in the real
analytic case corresponds to contact manifolds whose symplectic cone is
Calabi-Yau. We construct solvable examples in seven dimensions. Then, we
consider circle actions that preserve the structure, and determine conditions
for the contact reduction to carry an induced structure of the same type. We
apply this construction to obtain a new hypo-contact structure on S^2\times
T^3.Comment: 30 pages; v2: typos corrected, presentation improved, one reference
added. To appear in Ann. Glob. Analysis and Geometr
Antioxidant Supplementation in the Treatment of Aging-Associated Diseases
Oxidative stress is generally considered as the consequence of an imbalance between pro- and antioxidants species, which often results into indiscriminate and global damage at the organismal level. Elderly people are more susceptible to oxidative stress and this depends, almost in part, from a decreased performance of their endogenous antioxidant system. As many studies reported an inverse correlation between systemic levels of antioxidants and several diseases, primarily cardiovascular diseases, but also diabetes and neurological disorders, antioxidant supplementation has been foreseen as an effective preventive and therapeutic intervention for aging-associated pathologies. However, the expectations of this therapeutic approach have often been partially disappointed by clinical trials. The interplay of both endogenous and exogenous antioxidants with the systemic redox system is very complex and represents an issue that is still under debate. In this review a selection of recent clinical studies concerning antioxidants supplementation and the evaluation of their influence in aging-related diseases is analyzed. The controversial outcomes of antioxidants supplementation therapies, which might partially depend from an underestimation of the patient specific metabolic demand and genetic background, are presented
Breakup of self-guided light beams into X wave trains
Relaxation of the nonlinear spatiotemporal dynamics of cylindrically symmetric SchrÄodinger solitons due to their temporal modulation instability leads to soliton break-up into a train of X waves
Froth-like minimizers of a non local free energy functional with competing interactions
We investigate the ground and low energy states of a one dimensional non
local free energy functional describing at a mean field level a spin system
with both ferromagnetic and antiferromagnetic interactions. In particular, the
antiferromagnetic interaction is assumed to have a range much larger than the
ferromagnetic one. The competition between these two effects is expected to
lead to the spontaneous emergence of a regular alternation of long intervals on
which the spin profile is magnetized either up or down, with an oscillation
scale intermediate between the range of the ferromagnetic and that of the
antiferromagnetic interaction. In this sense, the optimal or quasi-optimal
profiles are "froth-like": if seen on the scale of the antiferromagnetic
potential they look neutral, but if seen at the microscope they actually
consist of big bubbles of two different phases alternating among each other. In
this paper we prove the validity of this picture, we compute the oscillation
scale of the quasi-optimal profiles and we quantify their distance in norm from
a reference periodic profile. The proof consists of two main steps: we first
coarse grain the system on a scale intermediate between the range of the
ferromagnetic potential and the expected optimal oscillation scale; in this way
we reduce the original functional to an effective "sharp interface" one. Next,
we study the latter by reflection positivity methods, which require as a key
ingredient the exact locality of the short range term. Our proof has the
conceptual interest of combining coarse graining with reflection positivity
methods, an idea that is presumably useful in much more general contexts than
the one studied here.Comment: 38 pages, 2 figure
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