The renormalized jellium model for spherical and cylindrical colloids

Starting from a mean-field description for a dispersion of highly charged spherical or (parallel) rod-like colloids, we introduce the simplification of a homogeneous background to include the contribution of other polyions to the static field created by a tagged polyion. The charge of this background is self-consistently renormalized to coincide with the polyion effective charge, the latter quantity thereby exhibiting a non-trivial density dependence, which directly enters into the equation of state through a simple analytical expression. The good agreement observed between the pressure calculated using the renormalized jellium and Monte Carlo simulations confirms the relevance of the {renormalized} jellium model for theoretical and experimental purposes and provides an alternative to the Poisson-Boltzmann cell model since it is free of some of the intrinsic limitations of this approach

Operator Analysis for Proton Decay in SUSY SO(10) GUT Models

Non-renormalizable operators both account for the failure of down quark and charged lepton Yukawa couplings to unify and reduce the proton decay rate via dimension-five operators in minimal SUSY SU(5) GUT. We extend the analysis to SUSY SO(10) GUT models.Comment: Higgs sector clarified, two Refs adde

On the residual and profinite closures of commensurated subgroups

The residual closure of a subgroup $H$ of a group $G$ is the intersection of all virtually normal subgroups of $G$ containing $H$. We show that if $G$ is generated by finitely many cosets of $H$ and if $H$ is commensurated, then the residual closure of $H$ in $G$ is virtually normal. This implies that separable commensurated subgroups of finitely generated groups are virtually normal. A stream of applications to separable subgroups, polycyclic groups, residually finite groups, groups acting on trees, lattices in products of trees and just-infinite groups then flows from this main result.Comment: 22 page

Magic composite pulses

I describe composite pulses during which the average dipolar interactions within a spin ensemble are controlled while realizing a global rotation. The construction method used is based on the average Hamiltonian theory and rely on the geometrical properties of the spin-spin dipolar interaction only. I present several such composite pulses robust against standard experimental defects in NRM: static or radio-frequency field miscalibration, fields inhomogeneities. Numerical simulations show that the magic sandwich pulse sequence, a pulse sequence that reverse the average dipolar field while applied, is plagued by defects originating from its short initial and final \pi/2 radio-frequency pulses. Using the magic composite pulses instead of \pi/2 pulses improves the magic sandwich effect. A numerical test using a classical description of NMR allows to check the validity of the magic composite pulses and estimate their efficiency.Comment: 22 pages, 6 figure

Extra Higgs Boson and Z′Z' as Portals to Signatures of Heavy Neutrinos at the LHC

In this paper, we discuss the potential of observing heavy neutrino ($\nu_h$) signatures of a $U(1)_{B-L}$ enlarged Standard Model (SM) encompassing three heavy Majorana neutrinos alongside the known light neutrino states at the Large Hadron Collider (LHC). We exploit the theoretical decay via a pair of heavy (non-SM-like) Higgs boson and $Z'$ production followed by $\nu_h \rightarrow l^\pm W^{\mp (*)}$ and $\nu_h \rightarrow \nu_l Z^{(*)}$ decays, ultimately yielding a $3l+2j+E_{T}^{\rm{miss}}$ signature and, depending upon how boosted the final state objects are, we define different possible selections aimed at improving the signal to background ratio in LHC Run 2 data for a wide range of heavy neutrino masses.Comment: 31 pages, 10 figures. arXiv admin note: text overlap with arXiv:1612.0597

A Comparative Study of the Concept of Atonement in the Aboakyer Festival of the Effutu Tribe in Ghana and the Yom Kippur Festival of the Old Testament: Implications for Adventist Mission Among the Effutu

Statement of Problem History records that Christian missions have operated in Winneba since 1865 with various approaches being used to share the gospel with the Effutu. Though there have been successes, allegiance of the Effutu to their tribal gods, manifested especially during the Aboakyer festival, raises the need for a missiological bridge or intervention for an effective contextualized ministry among the Effutu of Winneba. Purpose of Study This research aims to develop a missiological model based on a comparative study of the OT Yom Kippur festival and the Effutu Aboakyer festival that will potentially facilitate more effective Adventist mission among the Effutu. Method To understand the concept of atonement, a literature review studied the concept of atonement in two parts—the biblical view (comprising the Old Testament and New Testament views), and the African Traditional Religion (ATR) perspective. Second an ethnographic research on the Effutu Aboakyer was done to understand its context, particularly, the origins, history, and the rituals of the Aboakyer festival. This involved individual and group interviews as well as participant observation. Using the comparative approach method, comparison and contrast between the Aboakyer and Yom Kippur, with its typological meaning (pointing to ultimate reality), was done to find (a) similarities between them that reveal points of contact and that will make Yom Kippur comprehensible to the Effutu; and also (b) differences that reveal inadequacies in their understanding of atonement that can be remedied by accepting the biblical model of atonement through two phases of atonement provided by Christ\u27s sacrifice. A missiological model that comprehensively and effectively addresses the Effutu situation was accordingly proposed. Conclusion Based upon the redemptive analogies (similarities) found in the analysis, and the differences that posed as challenges, the Yom Kippur, expressing the biblical model of atonement, was proposed as the appropriate modus operandi that will potentially facilitate a more effective incarnational mission among the Effutu. This model, which elucidates the two phases of atonement provided by Christ’s sacrifice, was found to have the remedy for the inadequacies (differences) of the Effutu in their understanding of atonement and also the theological insights to give the sanctuary message its eschatological emphasis needed for this time. The model will also put the Effutu history and cosmology into biblical perspective and help the Effutu direct their sacrifices and worship to God rather than the lesser gods

Quantum well infrared photodetectors hardiness to the non ideality of the energy band profile

We report results on the effect of a non-sharp and disordered potential in Quantum Well Infrared Photodetectors (QWIP). Scanning electronic transmission microscopy is used to measure the alloy profile of the structure which is shown to present a gradient of composition along the growth axis. Those measurements are used as inputs to quantify the effect on the detector performance (peak wavelength, spectral broadening and dark current). The influence of the random positioning of the doping is also studied. Finally we demonstrate that QWIP properties are quite robust with regard to the non ideality of the energy band profile