Zero-Temperature Properties of the Quantum Dimer Model on the Triangular Lattice

Using exact diagonalizations and Green's function Monte Carlo simulations, we have studied the zero-temperature properties of the quantum dimer model on the triangular lattice on clusters with up to 588 sites. A detailed comparison of the properties in different topological sectors as a function of the cluster size and for different cluster shapes has allowed us to identify different phases, to show explicitly the presence of topological degeneracy in a phase close to the Rokhsar-Kivelson point, and to understand finite-size effects inside this phase. The nature of the various phases has been further investigated by calculating dimer-dimer correlation functions. The present results confirm and complement the phase diagram proposed by Moessner and Sondhi on the basis of finite-temperature simulations [Phys. Rev. Lett. {\bf 86}, 1881 (2001)].Comment: 10 pages, 16 figure

Fundamental parameters of RR Lyrae stars from multicolour photometry and Kurucz atmospheric models. I. Theory and practical implementation

A photometric calibration of Kurucz static model atmospheres is used to obtain the following parameters of RR Lyrae stars: variation of stellar angular radius $\vartheta$, effective temperature $T_{\rm e}$, gravity $g_{\rm e}$ as a function of phase, interstellar reddening $E(B-V)$ towards the star and atmospheric metallicity $M$. Photometric and hydrodynamic conditions are given to find the phases of pulsation when the quasi-static atmosphere approximation (QSAA) can be applied. The QSAA is generalized to a non-uniformly moving spherical atmosphere, and the distance $d$, mass ${\cal M}$ and atmospheric motion are derived from the laws of mass and momentum conservation. To demonstrate the efficiency of the method, the $UBV(RI)_C$ photometry of SU Dra was used to derive the following parameters: $[M]=-1.60\pm .10$~dex, $E(B-V)=0.015\pm .010$, $d=663\pm 67$~pc, ${\cal M}=(0.68\pm .03){\cal M}_\odot$, equilibrium luminosity $L_{\rm eq}=45.9\pm 9.3L_\odot$ and $T_{\rm eq}=6813\pm 20$~K.Comment: 8 pages, 3 figure

Ab Initio Treatments of the Ising Model in a Transverse Field

In this article, new results are presented for the zero-temperature ground-state properties of the spin-half transverse Ising model on various lattices using three different approximate techniques. These are, respectively, the coupled cluster method, the correlated basis function method, and the variational quantum Monte Carlo method. The methods, at different levels of approximation, are used to study the ground-state properties of these systems, and the results are found to be in excellent agreement both with each other and with results of exact calculations for the linear chain and results of exact cumulant series expansions for lattices of higher spatial dimension. The different techniques used are compared and contrasted in the light of these results, and the constructions of the approximate ground-state wave functions are especially discussed.Comment: 28 Pages, 4 Figures, 1 Tabl

THE SHIP experiment and its detector for neutrino physics

SHIP is a new general purpose fixed target facility, proposed at the CERN SPS accelerator. In its initial phase the 400GeV proton beam will be dumped on a heavy target with the aim of integrating $2 \times 10^{20}$ pot in 5 years. A detector downstream of the target will allow to search long-lived exotic particles with masses below O(10) GeV/c2 forseen in extension of the Standard Model. Another dedicated detector, that will be the focus of this talk, will allow to study active neutrino cross- sections and angular distributions. The neutrino detector consists of an emulsion target, based on the Emulsion Cloud Chamber technology fruitfully employed in the OPERA experiment. The Emulsion Cloud Chamber will be placed in a magnetic field, with the so-called Compact Emulsion spectrometer, a few cm thick chamber for the charge and momentum measurement of hadrons. This will provide the leptonic number measurement also in the hadronic tau decay channels. The detector will be hybrid, using nuclear emulsions and electronic detectors for the time stamp of the events and the measurement of the muon momentum. The muon system will also be based on the design of the one used in the OPERA experiment

Neutrino physics with the SHIP experiment

Despite the Standard Model (SM) has been strongly confirmed by the Higgs discovery, several experimental facts are still not explained. The SHiP experiment (Search for Hidden Particles), a beam dump experiment at CERN, aims at the observation of long lived particles very weakly coupled with ordinary matter. These particles of the GeV mass scale, foreseen in many extensions of the SM, might come from the decay of charmed hadrons produced in the collision of a 400 GeV proton beam on a target. High rates of all the three active neutrinos are also expected. For the first time the properties and the cross section of the ντ will be studied thanks to a detector based on nuclear emulsions, with the micrometric resolution needed to identify the tau lepton produced in neutrino interactions. Measuring the charge of the tau daughters, will enable the first observation of the ντ and the study of its cross section

Distance and mass of pulsating stars from multicolour photometry and atmospheric models

For determining distance and mass of pulsating stars a new, purely photometric method is described in which radial velocity observations are not needed. The method is compared with the Baade-Wesselink method. As an example the RR Lyrae variable SU Dra is given.Comment: 9 pages, 4 figures, 4 tables. Accepted in Astronomy and Astrophysic

Study of tau neutrino properties with the SHiP experiment

The SHiP experiment (Search for Hidden Particles) is a beam dump experiment proposed at the CERN SPS with the submission of a Technical Proposal in April 2015. SHiP aims at the observation of long lived particles very weakly coupled with ordinary matter. These particles are mostly produced in the decay of charmed hadrons whose production is therefore enhanced through the definition of the characteristics of both the beam and the proton target. This makes the SHiP experiment a Standard Model neutrino factory too, in particular of tau neutrinos produced by the Ds decay chain. My studies have mainly focused on the design of the neutrino detector and on the evaluation of its performances. The Neutrino Detector is placed in a magnetic field and it exploits the Emulsion Cloud Chamber Technology with the micrometric position resolution needed to disentangle the tau lepton decay vertex from the neutrino interaction vertex. This peculiarity, together with the high electron identification efficiency, makes this detector also suitable to search for sub-GeV Dark Matter (produced in the decay of the dark photon) through its scattering with the electrons in the emulsion target. The main unit of the Neutrino Detector is the brick (lead plates interleaved with emulsion films) followed downstream by a Compact Emulsion Spectrometer (CES, 3 emulsion films interleaved with light material) needed to measure the charge and momentum of hadrons produced in neutrino interactions and short lived particles decays. A Muon Magnetic Spectrometer is placed immediately downstream to measure the charge and the momentum of muons produced in charged current muon neutrino interactions or in tau to muon decays. In this thesis the signal and background yield for all the different neutrino flavours are presented: more than twenty thousand nutau and nutau-bar charged current interactions are expected in five years of data taking. This unprecedented statistics of tau neutrinos will allow to measure the structure functions F4 and F5 entering the neutrino-nucleon cross section. The SHiP performances in the measurement of the tau neutrino anomalous magnetic moment are also reported with the estimation of the background yield for this searches. A preliminary estimate of the background events expected for LDM searches is also shown. Detailed studies will be performed with more general assumptions on the dark photon and the dark matter masses. Thanks to the large flux of electron and muon neutrinos interacting in the neutrino target, the measurement of the strange quark content of the nucleon has also been studied. The second to last chapter of the thesis is devoted to the description of the optimisation studies which are on going in view of the production of a Comprehensive Design Report to hand in to the CERN SPS Committee by the end of 2018. In this optimised version of the SHiP detector, the Neutrino Detector is roughly 20 m closer to the proton target, with a resulting increment in the incoming neutrino flux. However, being closer to the proton target has also generated the need for a complete redesign of the detector layout to fit the muon free region. A study of muon background rates on the Neutrino Detector and on the downstream Muon Magnetic Spectrometer is also reported. The last chapter describes the Test Beam activities conducted at CERN to study the performances of both the Compact Emulsion Spectrometer and of the gaseous electronic detectors (GEM) which complement the Neutrino Detector. The data analysis was carried out in the Napoli Emulsion Laboratory. The test beam for the CES has led us to discard the option of using the Rohacell as a light material interleaved to the emulsion films. The test beam with the GEM-emulsion coupled detector has shown a rapid degradation of the GEM performances in terms of position resolution when dealing with inclined tracks also in absence of magnetic field. The degradation is enhanced when the polarisation of the magnetic field contributes to the avalanche displacement. In case of a compensating magnetic field, the position resolution shows the same behaviour as in absence of field, except for a phase-shift of 15 degrees corresponding to the Lorentz angle of the generated electron avalanche

Autonomic dysfunction in progressive supranuclear palsy

Background: The degree of involvement of the autonomic nervous system in progressive supranuclear palsy (PSP) has been investigated in several studies, often providing conflicting results. There is a need for a better characterization of autonomic dysfunction in PSP, to enhance our understanding of this highly disabling neurodegenerative disease including patients’ needs and possibly be of value for clinicians in the differential diagnosis among Parkinsonian syndromes. Methods: We applied a systematic methodology to review existing literature on Pubmed regarding autonomic nervous system involvement in PSP. Results: PSP reported quite frequently symptoms suggestive of autonomic dysfunction in all domains. Cardiovascular autonomic testing showed in some cases a certain degree of impairment (never severe). There was some evidence suggesting bladder dysfunction particularly in the storage phase. Dysphagia and constipation were the most common gastrointestinal symptoms. Instrumental tests seemed to confirm sudomotor and pupillomotor disturbances. Conclusions: PSP patients frequently reported visceral symptoms, however objective testing showed that not always these reflected actual autonomic impairment. Further studies are needed to better delineate autonomic profile and its prognostic role in PSP

A mathematical model of levodopa medication effect on basal ganglia in parkinson’s disease: An application to the alternate finger tapping task

Malfunctions in the neural circuitry of the basal ganglia (BG), induced by alterations in the dopaminergic system, are responsible for an array of motor disorders and milder cognitive issues in Parkinson's disease (PD). Recently Baston and Ursino (2015a) presented a new neuroscience mathematical model aimed at exploring the role of basal ganglia in action selection. The model is biologically inspired and reproduces the main BG structures and pathways, modeling explicitly both the dopaminergic and the cholinergic system. The present work aims at interfacing this neurocomputational model with a compartmental model of levodopa, to propose a general model of medicated Parkinson's disease. Levodopa effect on the striatum was simulated with a two-compartment model of pharmacokinetics in plasma joined with a motor effect compartment. The latter is characterized by the levodopa removal rate and by a sigmoidal relationship (Hill law) between concentration and effect. The main parameters of this relationship are saturation, steepness, and the half-maximum concentration. The effect of levodopa is then summed to a term representing the endogenous dopamine effect, and is used as an external input for the neurocomputation model; this allows both the temporal aspects of medication and the individual patient characteristics to be simulated. The frequency of alternate tapping is then used as the outcome of the whole model, to simulate effective clinical scores. Pharmacokinetic-pharmacodynamic modeling was preliminary performed on data of six patients with Parkinson's disease (both “stable” and “wearing-off” responders) after levodopa standardized oral dosing over 4 h. Results show that the model is able to reproduce the temporal profiles of levodopa in plasma and the finger tapping frequency in all patients, discriminating between different patterns of levodopa motor response. The more influential parameters are the Hill coefficient, related with the slope of the effect sigmoidal relationship, the drug concentration at half-maximum effect, and the drug removal rate from the effect compartment. The model can be of value to gain a deeper understanding on the pharmacokinetics and pharmacodynamics of the medication, and on the way dopamine is exploited in the neural circuitry of the basal ganglia in patients at different stages of the disease progression