ISRN High Energy Physics http://www.hindawi.com The latest articles from Hindawi Publishing Corporation © 2013 , Hindawi Publishing Corporation . All rights reserved. Impact of High Energy Cosmic Rays on Global Atmospheric Electrical Parameters over Different Orographically Important Places of India Wed, 19 Jun 2013 18:23:05 +0000 http://www.hindawi.com/isrn/hep/2013/831431/ Global atmospheric electrical parameters such as atmospheric conductivity, air-earth current density, atmospheric electric field, and atmospheric potential have been calculated for eighty different orographically important places of India under the influence of cosmic ray modulation factor due to Forbush decrease assuming fair weather conditions. The results have been compared with the earlier work of Kumar et al. (1998) and show that the correlation between cosmic rays and global atmospheric electrical parameters near the earth surface depends upon the relative magnitudes of galactic cosmic ray particles. Adarsh Kumar and H. P. Singh Copyright © 2013 Adarsh Kumar and H. P. Singh. All rights reserved. Solutions and Thermodynamics of Charged Rotating Black Holes in a Fuzzy Space Tue, 18 Jun 2013 09:05:18 +0000 http://www.hindawi.com/isrn/hep/2013/184857/ We investigate the effect of fuzzy space on black hole and its thermodynamic Properties; we also present our results in different types of black holes according to the parameters and representing electric and magnetic charges. Abderrahman El Boukili, Mourad Nach, Hamid Chaqsare, Moulay Driss Aouragh, and Moulay Brahim Sedra Copyright © 2013 Abderrahman El Boukili et al. All rights reserved. Multiplication of Fast Neutrons Source Flux by Using Deuterium-Helium-3 Plasma Thu, 30 May 2013 14:25:43 +0000 http://www.hindawi.com/isrn/hep/2013/689739/ The production of fast neutrons source is examined by using a thermal neutron flux inside plasma. In order to reach a favorable yield of fast neutrons flux, the parameters such as energy loss rate, reaction probability, and neutron absorption length are calculated. The nuclear conversion efficiency, , of thermal neutron to fast neutrons is obtained to be by calculating the physical parameters for the plasma designed. Mohammad Mahdavi and Maryam Shahbahrami Copyright © 2013 Mohammad Mahdavi and Maryam Shahbahrami. All rights reserved. On a Semiclassical Limit of Loop Space Quantum Mechanics Thu, 09 May 2013 13:45:14 +0000 http://www.hindawi.com/isrn/hep/2013/398030/ Following earlier work, we view two-dimensional nonlinear sigma model as single particle quantum mechanics in the free loop space of the target space. In a natural semiclassical limit of this model, the wavefunction localizes on the submanifold of vanishing loops. One would expect that the semiclassical expansion should be related to the tubular expansion of the theory around the submanifold and effective dynamics on the submanifold is obtainable using Born-Oppenheimer approximation. We develop a framework to carry out such an analysis at the leading order. In particular, we show that the linearized tachyon effective equation is correctly reproduced up to divergent terms all proportional to the Ricci scalar. The steps are as follows: first we define a finite dimensional analogue of the loop space quantum mechanics (LSQM) where we discuss its tubular expansion and how that is related to a semiclassical expansion of the Hamiltonian. Then we study an explicit construction of the relevant tubular neighborhood in loop space using exponential maps. Such a tubular geometry is obtained from a Riemannian structure on the tangent bundle of target space which views the zero-section as a submanifold admitting a tubular neighborhood. Using this result and exploiting an analogy with the toy model, we arrive at the final result for LSQM. Partha Mukhopadhyay Copyright © 2013 Partha Mukhopadhyay. All rights reserved. Generalized Nuclear Woods-Saxon Potential under Relativistic Spin Symmetry Limit Wed, 20 Mar 2013 17:46:26 +0000 http://www.hindawi.com/isrn/hep/2013/987632/ By using the Pekeris approximation, we present solutions of the Dirac equation with the generalized Woods-Saxon potential with arbitrary spin-orbit coupling number under spin symmetry limit. We obtain energy eigenvalues and corresponding eigenfunctions in closed forms. Some numerical results are given too. M. Hamzavi and A. A. Rajabi Copyright © 2013 M. Hamzavi and A. A. Rajabi. All rights reserved. Exact Solution of the Dirac Equation for the Yukawa Potential with Scalar and Vector Potentials and Tensor Interaction Sat, 16 Mar 2013 13:43:23 +0000 http://www.hindawi.com/isrn/hep/2013/310392/ We present exact solutions of the Dirac equation with Yukawa potential in the presence of a Coulomb-like tensor potential. For this goal we expand the Yukawa form of the nuclear potential in its mesonic clouds by using Taylor extension to the power of seventh and bring out its simple form. In order to obtain the energy eigenvalue and the corresponding wave functions in closed forms for this potential (with great powers and inverse exponent), we use ansatz method. We also regard the effects of spin-spin, spin-isospin, and isospin-isospin interactions on the relativistic energy spectra of nucleon. By using the obtained results, we have calculated the deuteron mass. The results of our model show that the deuteron spectrum is very close to the ones obtained in experiments. Mona Azizi, Nasrin Salehi, and Ali Akbar Rajabi Copyright © 2013 Mona Azizi et al. All rights reserved. Super-Liouville Theory from Superstring Theory in the Presence of Gauge Worldsheet Fields Thu, 14 Mar 2013 08:16:03 +0000 http://www.hindawi.com/isrn/hep/2013/364852/ We obtain in this work the super-Liouville theory induced from the action of the superstring theory in the presence of gauge worldsheet fields; such construction is based on a special ansatz that gives a special value of -fields . We discuss the integrability of super-Liouville theory through the Lax formulation, and we establish also the superfields formulation of super-Liouville equations. A. EL Boukili, M. Nach, K. Bilal, and M. B. Sedra Copyright © 2013 A. EL Boukili et al. All rights reserved. From Generalized Dirac Equations to a Candidate for Dark Energy Wed, 06 Mar 2013 11:38:42 +0000 http://www.hindawi.com/isrn/hep/2013/374612/ We consider extensions of the Dirac equation with mass terms and . The corresponding Hamiltonians are Hermitian and pseudo-Hermitian ( Hermitian), respectively. The fundamental spinor solutions for all generalized Dirac equations are found in the helicity basis and brought into concise analytic form. We postulate that the time-ordered product of field operators should yield the Feynman propagator ( prescription), and we also postulate that the tardyonic as well as tachyonic Dirac equations should have a smooth massless limit. These postulates lead to sum rules that connect the form of the fundamental field anticommutators with the tensor sums of the fundamental plane-wave eigenspinors and the projectors over positive-energy and negative-energy states. In the massless case, the sum rules are fulfilled by two egregiously simple, distinguished functional forms. The first sum rule remains valid in the case of a tardyonic theory and leads to the canonical massive Dirac field. The second sum rule is valid for a tachyonic mass term and leads to a natural suppression of the right-handed helicity states for tachyonic particles and left-handed helicity states for tachyonic spin-1/2 antiparticles. When applied to neutrinos, the theory contains a free tachyonic mass parameter. Tachyons are known to be repulsed by gravity. We discuss a possible role of a tachyonic neutrino as a contribution to the accelerated expansion of the Universe “dark energy.” U. D. Jentschura and B. J. Wundt Copyright © 2013 U. D. Jentschura and B. J. Wundt. All rights reserved. Phenomenology of Neutrino Mixing in Vacuum and Matter Wed, 13 Feb 2013 11:44:50 +0000 http://www.hindawi.com/isrn/hep/2013/206516/ The current status and some perspectives of the phenomenology of massive neutrinos is reviewed. We start with the phenomenology of neutrino oscillations in vacuum and in matter. We summarize the results of neutrino experiments using solar, atmospheric. The fundamental theory of flavor changing neutrinos that has confirmed the neutrino oscillations and the various parameters affecting these oscillations have been discussed in detail. Specifically we will take the solar and atmospheric neutrino case. The oscillation plots will be discussed in detail, based on their behavior in vacuum and matter. Both normal and inverted mass hierarchy hypotheses are tested and both are consistent with observation. Finally the sensitivity of theta 13 over these probability oscillations has been analyzed and commented. A. Upadhyay and M. Batra Copyright © 2013 A. Upadhyay and M. Batra. All rights reserved. Neutrino Dispersion Relations from a Dark Energy Model Thu, 17 Jan 2013 17:02:24 +0000 http://www.hindawi.com/isrn/hep/2013/497071/ We consider a model in which the neutrino is kinetically coupled to a scalar field and study its implications for environmentally dependent neutrino velocities. Following the usual effective field theory logic, this coupling is expected to arise in neutrino dark energy models. It leads to a Lorentz violation in the neutrino sector. The coupling of the scalar field to the stress tensor of the Earth yields terrestrial neutrino dispersion relations distinct from those in interstellar space. Emilio Ciuffoli, Jarah Evslin, Jie Liu, and Xinmin Zhang Copyright © 2013 Emilio Ciuffoli et al. All rights reserved. Analysis of Lateral Distribution of Atmospheric Cherenkov Light at High Mountain Altitude Towards Event Reconstruction Thu, 13 Dec 2012 09:43:54 +0000 http://www.hindawi.com/isrn/hep/2012/906358/ Air shower simulations with CORSIKA6.990 code using FLUKA 2011 and QGSJET II hadron generators are performed. The simulations are carried out at high mountain observation level, namely, Chacaltaya cosmic ray station. The lateral distribution of atmospheric Cherenkov light produced by various primary particles, namely, proton, helium, oxygen, and iron nuclei, is obtained over wide energy range, between 1011 eV and 1017 eV. The lateral distribution is obtained, integrating over time and angle Cherenkov photons till 800 m from the shower axis. The shapes of the obtained distributions are compared and parameterized. Three different approximations of lateral distribution of Cherenkov light are compared. On the basis of inverse problem solution an event analysis, towards mass composition and energy reconstruction of the primary particle, is carried out. The applications and scientific potential for HECRE experiment proposal are discussed. Alexander Mishev Copyright © 2012 Alexander Mishev. All rights reserved. Approximate Complete Solutions of DKP Equation under a Vector Exponential Interaction via a Pekeris-Type Approximation Tue, 04 Dec 2012 09:07:02 +0000 http://www.hindawi.com/isrn/hep/2012/987196/ The DKP equation for an exponential potential is exactly solved via an appropriate approximation using the methodology of supersymmetric quantum mechanics. We see that the solutions are already known without any cumbersome algebra we face in any numerical or analytical approach. Closed forms of eigenfunctions and eigenvalues are reported. S. Zarrinkamar, A. A. Rajabi, and H. Hassanabadi Copyright © 2012 S. Zarrinkamar et al. All rights reserved. The Effect of Energy Leakage Probability on Burn Propagation in an Optically Thick Fusion Plasma Thu, 29 Nov 2012 08:48:07 +0000 http://www.hindawi.com/isrn/hep/2012/838394/ In an optically thick plasma, the mean free path of bremsstrahlung photons is smaller than the plasma radius, and radiation can be treated as a photon gas in thermal equilibrium. In these conditions, the black body radiation spectrum exceeds the number of hot photons, and reabsorption processes such as inverse bremsstrahlung radiation and inverse Compton scattering become important. It has been shown that a dense fusion plasma like the one being used in ICF method is initially optically thick. When the fuel pellet is burning, the temperature of its electrons rises (approximately greater than 90 KeV), and the pellet becomes rapidly optically thin. In this paper, we have shown that the energy leakage probability makes electron temperature remain low (approximately smaller than 55 KeV), and as a result the fuel pellet remains optically thick during burning. M. Mahdavi, T. Koohrokhi, and Z. Barfami Copyright © 2012 M. Mahdavi et al. All rights reserved. Basics Polyakov’s Quantum Surface Theory on the Formalism of Functional Integrals and Applications Mon, 19 Nov 2012 10:36:24 +0000 http://www.hindawi.com/isrn/hep/2012/674985/ We propose an alternative view to the covariant Polyakov’s string path integral. In our new approach we clarified the role of the Liouville model on string theory for Q.C.D. and Dual Models. In the appendices, we present additional material, difficult to find in the specialized path integral literature on the detailed evaluation of the (Q.C.D.) fermion determinant, the path integral proof of the Atiyah-Singer index theorem on Riemannian Manifolds, and the role of the expansion on Polyakov’s String path integral, all containing important new results, insights on theses topics. Luiz C. L. Botelho Copyright © 2012 Luiz C. L. Botelho. All rights reserved. Neutrino Splitting and Density-Dependent Dispersion Relations Sun, 04 Nov 2012 11:28:09 +0000 http://www.hindawi.com/isrn/hep/2012/436580/ We show that particles are unstable with respect to a splitting process, which is the quantum analog of the modulational instability in anomalous dispersive media, only when their group velocity exceeds their phase velocity. In the case of a neutrino, when the concavity results from a term , the neutrino will decay to two neutrinos and an antineutrino after traveling a distance proportional to . Unlike the Cohen-Glashow instability, the splitting instability exists even if all particles involved in the interaction have the same dispersion relations at the relevant energy scales. We show that this instability leads to strong constraints even if the energy is a function of both the momentum and also of the background density ; for example, we show that it alone would have been sufficient to eliminate any model of the MINOS/OPERA velocity anomaly which modifies the neutrino dispersion relation while leaving those of other particles intact. Emilio Ciuffoli, Jarah Evslin, Xiaojun Bi, and Xinmin Zhang Copyright © 2012 Emilio Ciuffoli et al. All rights reserved. Bound-State Solutions of the Klein-Gordon Equation with -Deformed Equal Scalar and Vector Eckart Potential Using a Newly Improved Approximation Scheme Tue, 23 Oct 2012 12:01:39 +0000 http://www.hindawi.com/isrn/hep/2012/798209/ We present the analytical solutions of the Klein-Gordon equation for q-deformed equal vector and scalar Eckart potential for arbitrary -state. We obtain the energy spectrum and the corresponding unnormalized wave function expressed in terms of the Jacobi polynomial. We also discussed the special cases of the potential. Ita O. Akpan, Akaninyene D. Antia, and Akpan N. Ikot Copyright © 2012 Ita O. Akpan et al. All rights reserved. Metastability of an Extended Higgs Model Mon, 15 Oct 2012 10:11:59 +0000 http://www.hindawi.com/isrn/hep/2012/821915/ We consider a singlet extended supersymmetric Higgs model. In the limit of it is possible to unravel the vacuum structure of this model analytically. We span the parameter space of the model. Specially we consider configurations in this space for a Higg’s mass of 125 GeV. We provide a detailed discussion of the issue of metastability of this model. A. Tofighi Copyright © 2012 A. Tofighi. All rights reserved. Domain Wall Splitting in Extra Dimension Mon, 15 Oct 2012 10:11:30 +0000 http://www.hindawi.com/isrn/hep/2012/505708/ We study the splitting of domain walls in 5-dimensional flat Minkowski spacetime. To construct a domain wall structure we utilize a potential of the form and for simplicity we assume the scalar field to be real. We also assume the coefficient a to be temperature-dependent. We find exact analytical expressions for the energy density of the domain wall and from this expression we find close analytical form for the separation of the divided domain walls. We find that near critical temperature the domain walls split. At the critical temperature, the domain walls rejoin. In the region above this critical temperature, the kink solution is nontopological. We find that the phenomena of splitting of domain walls occurs in this region as well. This effect is especially manifest near the inflection point of the potential. A. Tofighi Copyright © 2012 A. Tofighi. All rights reserved. CP Violating Tri-Bimaximal-Cabibbo Mixing Sat, 29 Sep 2012 10:43:29 +0000 http://www.hindawi.com/isrn/hep/2012/954272/ In view of the new data from the Daya Bay and RENO collaborations, King has presented a very natural deformation of tri-bimaximal mixing. Here, we show that L/E flatness of the e-like event ratio in the atmospheric neutrino data, when coupled with King's observation that the smallest neutrino mixing angle, , seems to be related to the largest quark mixing angle (the Cabibbo angle ), leading to a CP violating tri-bimaximal-Cabibbo mixing. King's tri-bimaximal-Cabibbo mixing follows as a leading order approximation from our result. D. V. Ahluwalia Copyright © 2012 D. V. Ahluwalia. All rights reserved. LHC High- Runs: Transport and Unfolding Methods Tue, 25 Sep 2012 18:56:45 +0000 http://www.hindawi.com/isrn/hep/2012/491460/ The paper describes the transport of the elastically and diffractively scattered protons in the proton-proton interactions at the LHC for the high- runs. A parametrisation of the scattered proton transport through the LHC magnetic lattice is presented. The accuracy of the unfolding of the kinematic variables of the scattered protons is discussed. M. Trzebiński, R. Staszewski, and J. Chwastowski Copyright © 2012 M. Trzebiński et al. All rights reserved. Supersymmetry Breaking in a Minimal Anomalous Extension of the MSSM Thu, 16 Aug 2012 13:41:15 +0000 http://www.hindawi.com/isrn/hep/2012/903106/ We study a supersymmetry breaking mechanism in the context of a minimal anomalous extension of the MSSM. The anomaly cancellation mechanism is achieved through suitable counterterms in the effective action, that is, the Green-Schwarz terms. We assume that the standard MSSM superpotential is perturbatively realized; that is, all terms allowed by gauge symmetries except for the μ-term which has a nonperturbative origin. The presence of this term is expected in many intersecting D-brane models which can be considered as the ultraviolet completion of our model. We show how soft supersymmetry breaking terms arise in this framework, and we study the effect of some phenomenological constraints on this scenario. A. Lionetto and A. Racioppi Copyright © 2012 A. Lionetto and A. Racioppi. All rights reserved. Spin-Dependent Coupled Altarelli-Parisi Equations in the NLO and the Method of Successive Approximations Sun, 05 Aug 2012 12:32:09 +0000 http://www.hindawi.com/isrn/hep/2012/943871/ The coupled Altarelli-Parisi (AP) equations for polarized singlet quark distribution and polarized gluon distribution, when considered in the small x limit of the next to leading order (NLO) splitting functions, reduce to a system of two first order linear nonhomogeneous integrodifferential equations. We have applied the method of successive approximations to obtain the solutions of these equations. We have applied the same method to obtain the approximate analytic expressions for spin-dependent quark distribution functions with individual flavour and polarized structure functions for nucleon. Ranjit Choudhury and D. K. Choudhury Copyright © 2012 Ranjit Choudhury and D. K. Choudhury. All rights reserved. Onset of Magnetic Monopole-Antimonopole Condensation Wed, 11 Apr 2012 14:00:19 +0000 http://www.hindawi.com/isrn/hep/2012/853692/ We determine the critical strength of the effective electric coupling for the onset of Bose condensation of stable magnetic monopoles and antimonopoles in SU(2) Yang-Mills thermodynamics. Two scenarios are considered: infinitely fast and infinitely slow downward approaches of the critical temperature. Our results support the claim that the first lepton family and the weak interactions emerge from pure SU(2) gauge dynamics of scale ∼0.5 MeV. Ralf Hofmann Copyright © 2012 Ralf Hofmann. All rights reserved. The Characteristics of Cosmic Rays in a Fractal Medium Mon, 26 Mar 2012 15:46:31 +0000 http://www.hindawi.com/isrn/hep/2012/673250/ We consider the galactic propagation of cosmic rays with energies below the knee of the cosmic ray spectrum (at 3×106 GeV). Lagutin and his colleagues suggested that propagation in a fractal medium would be an appropriate model for such particles and pointed out that a different diffusion equation to that usually assumed is then required. We present results of calculations using a diffusion equation appropriate to an inhomogeneous medium. These results are encouraging and can fit properties of the energy density of cosmic rays using the supernova model of Erlykin and Wolfendale. The containment time of cosmic rays, in such a modeling of propagation in a fractal medium, is discussed. S. Doostmohammadi and S. J. Fatemi Copyright © 2012 S. Doostmohammadi and S. J. Fatemi. All rights reserved. On the Algebra of 𝑞-Deformed Pseudodifferential Operators Thu, 22 Mar 2012 16:16:33 +0000 http://www.hindawi.com/isrn/hep/2012/503621/ While basing on the study that we we achieved on pseudodifferential operators in the works [arXiv:0708.4046 and hep-th/0610056 ], we interest in this paper to the construction of the algebra of 𝑞-deformed pseudodifferential operators. We use this algebraic structure to study in particular 𝑞-Burgers and 𝑞-KdV differential operators by the Lax generating technique. We give 𝑞-deformed Lax equations as well as the report between these equations through the 𝑞-deformed Burgers-KdV mapping. Abderrahman EL Boukili and Moulay Brahim Sedra Copyright © 2012 Abderrahman EL Boukili and Moulay Brahim Sedra. All rights reserved. Physical Investigation of on Nuclear Dynamics Equations in Nanoenergy Reactors Using a High D-O-F Variable Separation Protocol along with the Boubaker Polynomials Expansion Scheme BPES Mon, 05 Mar 2012 19:16:39 +0000 http://www.hindawi.com/isrn/hep/2012/725318/ We present general analytical solutions to the nuclear dynamics-related Neutron Boltzmann Transport Equation inside nanoenergy reactors. Finding a particular solution to the neutron equation by making use of boundary conditions and initial conditions may be too much for the present study and reduce the generality of the solutions. Some simple assumptions have been introduced in the main system thanks to the Boubaker Polynomial Expansion Scheme, BPES, in order to make the general analytical procedure simple and adaptable for solving similar real-life problems. O. M. Dada, O. B. Awojoyogbe, K. Boubaker, and M. Agida Copyright © 2012 O. M. Dada et al. All rights reserved. Charged Lepton Spectra from Hot-Spot Evaporation Mon, 05 Mar 2012 10:59:34 +0000 http://www.hindawi.com/isrn/hep/2012/509793/ Spectra for the emission of charged leptons from evaporating hot-spots of preconfining phase in SU(2) Yang-Mills thermodynamics are computed. Specifically, we consider charged single and dileptons with their spectra being functions of energy and invariant mass, respectively. In the former case, our results relate to narrow and correlated electron and positron peaks measured in supercritical heavy-ion collisions performed at GSI in the 1980s. In the latter case, we point out how strongly the spectra depend on typical kinematic cuts (CDF analysis of Tevatron Run II data). We also propose a scenario on how muon events of anomalously high multiplicity and large impact-parameter modulus arise in the Tevatron data. Julian Moosmann and Ralf Hofmann Copyright © 2012 Julian Moosmann and Ralf Hofmann. All rights reserved. Emergent Inert Adjoint Scalar Field in SU(2) Yang-Mills Thermodynamics due to Coarse-Grained Topological Fluctuations Mon, 05 Mar 2012 07:58:26 +0000 http://www.hindawi.com/isrn/hep/2012/373121/ We compute the phase and the modulus of an energy- and pressure-free, composite, adjoint, and inert field 𝜙 in an SU(2) Yang-Mills theory at large temperatures. This field is physically relevant in describing part of the ground-state structure and the quasiparticle masses of excitations. The field 𝜙 possesses nontrivial 𝑆1-winding on the group manifold 𝑆3. Even at asymptotically high temperatures, where the theory reaches its Stefan-Boltzmann limit, the field 𝜙, though strongly power suppressed, is conceptually relevant: its presence resolves the infrared problem of thermal perturbation theory. Ulrich Herbst and Ralf Hofmann Copyright © 2012 Ulrich Herbst and Ralf Hofmann. All rights reserved. Possible Impact of the Fourth-Generation Quarks on Production of a Charged Higgs Boson at the LHC Thu, 26 Jan 2012 11:09:07 +0000 http://www.hindawi.com/isrn/hep/2012/341643/ We investigate the impact of the fourth-generation quarks on production and decays of the charged Higgs boson at CERN Large Hadron Collider (LHC) with 14 TeV center of mass energy. The signal is the process 𝑔𝑔→𝑢4𝑢4, followed by 𝑢4→𝑊−𝑏 and 𝑢4→ℎ+𝑏 decays with subsequent ℎ+→𝑡𝑏 and corresponding hermitic conjugates. It is shown that if 𝑚𝑢4=400 GeV, then considered process will provide unique opportunity to discover charged Higgs boson with mass range of 200 to 350 GeV at the LHC. R. Çiftçi, A. K. Çiftçi, and S. Sultansoy Copyright © 2012 R. Çiftçi et al. All rights reserved. The Higgs Boson: From the Lattice to LHC Thu, 19 Jan 2012 14:46:36 +0000 http://www.hindawi.com/isrn/hep/2012/637950/ We discuss the triviality and spontaneous symmetry breaking scenario where the Higgs boson without self-interaction coexists with spontaneous symmetry breaking. We argue that nonperturbative lattice investigations support this scenario. Moreover, from lattice simulations, we predict that the Higgs boson is rather heavy. We estimate the Higgs boson mass 𝑚𝐻=754±20 (stat) ±20 (syst) GeV and the Higgs total width Γ(𝐻)≃340 GeV. P. Cea and L. Cosmai Copyright © 2012 P. Cea and L. Cosmai. All rights reserved.