Advances in High Energy Physics https://www.hindawi.com The latest articles from Hindawi © 2017 , Hindawi Limited . All rights reserved. The Minimal Geometric Deformation Approach: A Brief Introduction Thu, 25 May 2017 07:55:51 +0000 http://www.hindawi.com/journals/ahep/2017/9756914/ We review the basic elements of the Minimal Geometric Deformation approach in detail. This method has been successfully used to generate brane-world configurations from general relativistic perfect fluid solutions. J. Ovalle, R. Casadio, and A. Sotomayor Copyright © 2017 J. Ovalle et al. All rights reserved. Cross Section Prediction for Inclusive Production of Boson in pp Collisions at  TeV: A Study of Systematic Uncertainty due to Scale Dependence Thu, 25 May 2017 00:00:00 +0000 http://www.hindawi.com/journals/ahep/2017/8262018/ Prediction of production cross section (where ) in proton-proton collisions at  TeV is estimated up to next-to-next-to-leading order (NNLO) in perturbative QCD including next-to-leading order (NLO) electroweak (EW) corrections. The total inclusive boson production cross section times leptonic branching ratio, within the invariant mass window  GeV, is predicted using NNLO HERAPDF2.0 at NNLO QCD and NLO EW as (PDF) () (scale) (parameterization and model). Theoretical prediction of the fiducial cross section is further computed with the latest modern PDF models (CT14, MMHT2014, NNPDF3.0, HERAPDF2.0, and ABM12) at NNLO for QCD and NLO for EW. The central values of the predictions are based on DYNNLO 1.5 program and the uncertainties are extracted using FEWZ 3.1 program. In addition, the cross section is also calculated as functions of and scales. The choice of and for scale variation uncertainty is further discussed in detail. Hasan Ogul and Kamuran Dilsiz Copyright © 2017 Hasan Ogul and Kamuran Dilsiz. All rights reserved. A New Two-Component Model for Hadron Production in Heavy-Ion Collisions Tue, 23 May 2017 07:25:32 +0000 http://www.hindawi.com/journals/ahep/2017/6708581/ Using the experimental data from the ALICE program on the centrality dependence of the transverse momentum () spectra in Pb+Pb collisions at  TeV, we show that the double-Tsallis distribution and the generalized Fokker-Planck (FP) solution cannot describe the spectra of pions, kaons, and protons from central to peripheral collisions in the entire region, simultaneously. Hence, a new two-component distribution, which is a hydrodynamic extension of the generalized FP solution accounting for the collective motion effect in heavy-ion collisions, is proposed in order to reproduce all the identified particle spectra. Our results suggest that the particle production dynamics may be different for different particles, especially at very low region. Xuejiao Yin, LiLin Zhu, and Hua Zheng Copyright © 2017 Xuejiao Yin et al. All rights reserved. On and Transverse Momentum Distributions in High Energy Collisions Thu, 18 May 2017 00:00:00 +0000 http://www.hindawi.com/journals/ahep/2017/9383540/ The transverse momentum distributions of final-state particles are very important for high energy collision physics. In this work, we investigate and meson distributions in the framework of a particle-production source, where Tsallis statistics are consistently incorporated. The results are in good agreement with the experimental data in and -Pb collisions at LHC energies. The temperature of the emission source and the nonequilibrium degree of the collision system are extracted. Bao-Chun Li, Ting Bai, Yuan-Yuan Guo, and Fu-Hu Liu Copyright © 2017 Bao-Chun Li et al. All rights reserved. The Thermodynamic Relationship between the RN-AdS Black Holes and the RN Black Hole in Canonical Ensemble Wed, 03 May 2017 00:00:00 +0000 http://www.hindawi.com/journals/ahep/2017/3812063/ In this paper, by analyzing the thermodynamic properties of charged AdS black hole and asymptotically flat space-time charged black hole in the vicinity of the critical point, we establish the correspondence between the thermodynamic parameters of asymptotically flat space-time and nonasymptotically flat space-time, based on the equality of black hole horizon area in the two different types of space-time. The relationship between the cavity radius (which is introduced in the study of asymptotically flat space-time charged black holes) and the cosmological constant (which is introduced in the study of nonasymptotically flat space-time) is determined. The establishment of the correspondence between the thermodynamics parameters in two different types of space-time is beneficial to the mutual promotion of different time-space black hole research, which is helpful to understand the thermodynamics and quantum properties of black hole in space-time. Yu-Bo Ma, Li-Chun Zhang, Jian Liu, Ren Zhao, and Shuo Cao Copyright © 2017 Yu-Bo Ma et al. All rights reserved. Strong Electroweak Phase Transition in a Model with Extended Scalar Sector Sun, 30 Apr 2017 07:59:09 +0000 http://www.hindawi.com/journals/ahep/2017/7638204/ We consider an extension of the Standard Model (SM) with additional gauge singlets which exhibits a strong first-order phase transition. Due to this first-order phase transition in the early universe gravitational waves are produced. We estimate the contributions such as the sound wave, the bubble wall collision, and the plasma turbulence to the stochastic gravitational wave background, and we find that the strength at the peak frequency is large enough to be detected at future gravitational interferometers such as eLISA. Deviations in the various Higgs boson self-couplings are also evaluated. Mina Saeedhosseini and Ali Tofighi Copyright © 2017 Mina Saeedhosseini and Ali Tofighi. All rights reserved. Entropic Destruction of Heavy Quarkonium from a Deformed AdS5 Model Sun, 30 Apr 2017 00:00:00 +0000 http://www.hindawi.com/journals/ahep/2017/8910210/ We study the destruction of heavy quarkonium due to the entropic force in a deformed AdS5 model. The effects of the deformation parameter on the interdistance and the entropic force are investigated. The influence of the deformation parameter on the quarkonium dissociation is analyzed. It is shown that the interdistance increases in the presence of the deformation parameter. In addition, the deformation parameter has the effect of decreasing the entropic force. These results imply that the quarkonium dissociates harder in a deformed AdS background than in a usual AdS background, in agreement with earlier findings. Zi-qiang Zhang, Zhong-jie Luo, De-fu Hou, and Gang Chen Copyright © 2017 Zi-qiang Zhang et al. All rights reserved. Entropy Product Formula for Gravitational Instanton Sun, 23 Apr 2017 00:00:00 +0000 http://www.hindawi.com/journals/ahep/2017/7471640/ We investigate the entropy product formula for various gravitational instantons. We speculate that due to the mass-independent features of the said instatons they are universal as well as quantized. For isolated Euclidean Schwarzschild black hole, these properties simply fail. Parthapratim Pradhan Copyright © 2017 Parthapratim Pradhan. All rights reserved. Corrigendum to “Comparative Aspects of Spin-Dependent Interaction Potentials for Spin-1/2 and Spin-1 Matter Fields” Wed, 19 Apr 2017 00:00:00 +0000 http://www.hindawi.com/journals/ahep/2017/9152437/ P. C. Malta, L. P. R. Ospedal, K. Veiga, and J. A. Helayël-Neto Copyright © 2017 P. C. Malta et al. All rights reserved. Classical and Quantum Gravity and Its Applications Tue, 11 Apr 2017 06:38:16 +0000 http://www.hindawi.com/journals/ahep/2017/9736761/ Seyed Hossein Hendi, Christian Corda, S. Habib Mazharimousavi, Davood Momeni, Masoud Sepehri-Rad, and Emmanuel N. Saridakis Copyright © 2017 Seyed Hossein Hendi et al. All rights reserved. Quantum Self-Frictional Relativistic Nucleoseed Spinor-Type Tensor Field Theory of Nature Mon, 03 Apr 2017 09:35:55 +0000 http://www.hindawi.com/journals/ahep/2017/6049079/ For study of quantum self-frictional (SF) relativistic nucleoseed spinor-type tensor (NSST) field theory of nature (SF-NSST atomic-molecular-nuclear and cosmic-universe systems) we use the complete orthogonal basis sets of -component column-matrices type SF -relativistic NSST orbitals (-RNSSTO) and SF -relativistic Slater NSST orbitals (-RSNSSTO) through the -nonrelativistic scalar orbitals (-NSO) and -nonrelativistic Slater type orbitals (-NSTO), respectively. Here or and ,   are the integer ) or noninteger ) SF quantum numbers, where . We notice that the nonrelativistic -NSO and -NSTO orbitals themselves are obtained from the relativistic -RNSSTO and -RSNSSTO functions for , respectively. The column-matrices-type SF -RNSST harmonics (-RNSSTH) and -modified NSSTH (-MNSSTH) functions for arbitrary spin introduced by the author in the previous papers are also used. The one- and two-center one-range addition theorems for -NSO and noninteger -NSTO orbitals are presented. The quantum SF relativistic nonperturbative theory for -RNSST potentials (-RNSSTP) and their derivatives is also suggested. To study the transportations of mass and momentum in nature the quantum SF relativistic NSST gravitational photon (gph) with is introduced. I. I. Guseinov Copyright © 2017 I. I. Guseinov. All rights reserved. Excited Muon Searches at the FCC-Based Muon-Hadron Colliders Thu, 30 Mar 2017 00:00:00 +0000 http://www.hindawi.com/journals/ahep/2017/1540243/ We study the excited muon production at the FCC-based muon-hadron colliders. We give the excited muon decay widths and production cross-sections. We deal with the process and plot the transverse momentum and normalized pseudorapidity distributions of final state particles to define the kinematical cuts best suited for discovery. By using these cuts, we get the mass limits for excited muons. It is shown that the discovery limits obtained on the mass of are 2.2, 5.8, and 7.5 TeV for muon energies of 63, 750, and 1500 GeV, respectively. A. Caliskan, S. O. Kara, and A. Ozansoy Copyright © 2017 A. Caliskan et al. All rights reserved. Localization of Massive and Massless Fermions on Two-Field Branes Sun, 26 Mar 2017 08:06:46 +0000 http://www.hindawi.com/journals/ahep/2017/3926286/ We study fermion localization and resonances on a special type of brane-world model supporting brane splitting. In such models one can construct multiwall branes which cause considerable simplification in the field equations. We use a polynomial superpotential to construct this brane. The suitable Yukawa coupling between the background scalar field and the localized fermion is determined. The massive fermion resonance spectrum is obtained. The number of resonances is increased for higher values of Yukawa coupling. Ali Farokhtabar and Ali Tofighi Copyright © 2017 Ali Farokhtabar and Ali Tofighi. All rights reserved. Singlet Fermion Assisted Dominant Seesaw with Lepton Flavor and Number Violations and Leptogenesis Tue, 21 Mar 2017 00:00:00 +0000 http://www.hindawi.com/journals/ahep/2017/4023493/ Embedding type I seesaw in GUTs, left-right gauge theories, or even in extensions of the SM requires large right-handed neutrino masses making the neutrino mass generation mechanism inaccessible for direct experimental tests. This has been circumvented by introducing additional textures or high degree of fine-tuning in the Dirac neutrino or right-handed neutrino mass matrices. In this work we review another new mechanism that renders type I seesaw vanishing but other seesaw mechanisms dominant. Such mechanisms include extended seesaw, type II, linear, or double seesaw. The linear seesaw, double seesaw, and extended seesaw are directly verifiable at TeV scale. New observable predictions for lepton flavor and lepton number violations by ongoing searches are noted. Type II embedding in (10) also predicts these phenomena in addition to new mechanism for leptogenesis and displaced vertices mediated by gauge singlet fermions. M. K. Parida and Bidyut Prava Nayak Copyright © 2017 M. K. Parida and Bidyut Prava Nayak. All rights reserved. Nonorthogonality and κ-Dependence Eccentricity of Polarized Electromagnetic Waves in CPT-Even Lorentz Violation Mon, 20 Mar 2017 00:00:00 +0000 http://www.hindawi.com/journals/ahep/2017/3050724/ We discuss the modified Maxwell action of a -type Lorentz symmetry breaking theory and present a solution of Maxwell equations derived in the cases of linear and elliptically polarized electromagnetic waves in the vacuum of CPT-even Lorentz violation. We show in this case that the Lorentz violation has the effect of changing the amplitude of one component of the magnetic field, while leaving the electric field unchanged, leading to nonorthogonal propagation of electromagnetic fields and dependence of the eccentricity on -term. Further, we exhibit numerically the consequences of this effect in the cases of linear and elliptical polarization, in particular, the regimes of nonorthogonality of the electromagnetic wave fields and the eccentricity of the elliptical polarization of the magnetic field with dependence on the -term. Thiago Prudêncio and Humberto Belich Copyright © 2017 Thiago Prudêncio and Humberto Belich. All rights reserved. Astrophysical Aspects of Neutrino Dynamics in Ultradegenerate Quark Gluon Plasma Thu, 16 Mar 2017 00:00:00 +0000 http://www.hindawi.com/journals/ahep/2017/1273931/ The cardinal focus of the present review is to explore the role of neutrinos originating from the ultradense core of neutron stars composed of quark gluon plasma in the astrophysical scenario. The collective excitations of the quarks involving the neutrinos through the different kinematical processes have been studied. The cooling of the neutron stars as well as pulsar kicks due to asymmetric neutrino emission has been discussed in detail. Results involving calculation of relevant physical quantities like neutrino mean free path and emissivity have been presented in the framework of non-Fermi liquid behavior as applicable to ultradegenerate plasma. Souvik Priyam Adhya Copyright © 2017 Souvik Priyam Adhya. All rights reserved. Searches for the Anomalous FCNC Top-Higgs Couplings with Polarized Electron Beam at the LHeC Thu, 16 Mar 2017 00:00:00 +0000 http://www.hindawi.com/journals/ahep/2017/4693213/ We study the single top and Higgs associated production in the top-Higgs FCNC couplings at the LHeC with the electron beam energy of  GeV and  GeV and combination of a 7 TeV and 50 TeV proton beam. With the possibility of -beam polarization (, ), we distinct the cut-based method and the multivariate analysis- (MVA-) based method and compare with the current experimental and theoretical limits. It is shown that the branching ratio can be probed to 0.113 (0.093%), 0.071 (0.057%), 0.030 (0.022%), and 0.024 (0.019%) with the cut-based (MVA-based) analysis at (, ) = (7 TeV, 60 GeV), (, ) = (7 TeV, 120 GeV), (, ) = (50 TeV, 60 GeV), and (, ) = (50 TeV, 120 GeV) beam energy and 1 level. With the possibility of -beam polarization, the expected limits can be probed down to 0.090 (0.073%), 0.056 (0.045%), 0.024 (0.018%), and 0.019 (0.015%), respectively. XiaoJuan Wang, Hao Sun, and Xuan Luo Copyright © 2017 XiaoJuan Wang et al. All rights reserved. Mass of the Stabilized Radion in the Limit of Finite Quartic Coupling Sun, 12 Mar 2017 00:00:00 +0000 http://www.hindawi.com/journals/ahep/2017/1213670/ We present an exact treatment of the modulus stabilization condition with the general boundary conditions of the bulk scalar field in the Randall-Sundrum model. We find analytical expressions for the value of the modulus and the mass of the radion. Ali Tofighi and Vahid Reza Shajiee Copyright © 2017 Ali Tofighi and Vahid Reza Shajiee. All rights reserved. Predictions for the Isolated Prompt Photon Production at the LHC at = 13 TeV Sun, 12 Mar 2017 00:00:00 +0000 http://www.hindawi.com/journals/ahep/2017/3802381/ The prompt photon production in hadronic collisions has a long history of providing information on the substructure of hadrons and testing the perturbative techniques of QCD. Some valuable information about the parton densities in the nucleon and nuclei, especially of the gluon, can also be achieved by analysing the measurements of the prompt photon production cross section whether inclusively or in association with heavy quarks or jets. In this work, we present predictions for the inclusive isolated prompt photon production in pp collisions at center-of-mass energy of 13 TeV using various modern PDF sets. The calculations are presented as a function of both photon transverse energy and pseudorapidity for the ATLAS kinematic coverage. We also study in detail the theoretical uncertainty in the cross sections due to the variation of the renormalization, factorization, and fragmentation scales. Moreover, we introduce and calculate the ratios of photon momenta for different rapidity regions and study the impact of various input PDFs on such quantity. Muhammad Goharipour and Hossein Mehraban Copyright © 2017 Muhammad Goharipour and Hossein Mehraban. All rights reserved. (Anti)chiral Superfield Approach to Nilpotent Symmetries: Self-Dual Chiral Bosonic Theory Tue, 07 Mar 2017 00:00:00 +0000 http://www.hindawi.com/journals/ahep/2017/6138263/ We exploit the beauty and strength of the symmetry invariant restrictions on the (anti)chiral superfields to derive the Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST, and (anti-)co-BRST symmetry transformations in the case of a two -dimensional (2) self-dual chiral bosonic field theory within the framework of augmented (anti)chiral superfield formalism. Our 2 ordinary theory is generalized onto a -dimensional supermanifold which is parameterized by the superspace variable , where (with ) are the ordinary 2 bosonic coordinates and () are a pair of Grassmannian variables with their standard relationships: , . We impose the (anti-)BRST and (anti-)co-BRST invariant restrictions on the (anti)chiral superfields (defined on the (anti)chiral -dimensional supersubmanifolds of the above general -dimensional supermanifold) to derive the above nilpotent symmetries. We do not exploit the mathematical strength of the (dual-)horizontality conditions anywhere in our present investigation. We also discuss the properties of nilpotency, absolute anticommutativity, and (anti-)BRST and (anti-)co-BRST symmetry invariance of the Lagrangian density within the framework of our augmented (anti)chiral superfield formalism. Our observation of the absolute anticommutativity property is a completely novel result in view of the fact that we have considered only the (anti)chiral superfields in our present endeavor. N. Srinivas, T. Bhanja, and R. P. Malik Copyright © 2017 N. Srinivas et al. All rights reserved. Cylindrically Symmetric, Asymptotically Flat, Petrov Type D Spacetime with a Naked Curvature Singularity and Matter Collapse Mon, 06 Mar 2017 06:41:10 +0000 http://www.hindawi.com/journals/ahep/2017/7943649/ We present a cylindrically symmetric, Petrov type D, nonexpanding, shear-free, and vorticity-free solution of Einstein’s field equations. The spacetime is asymptotically flat radially and regular everywhere except on the symmetry axis where it possesses a naked curvature singularity. The energy-momentum tensor of the spacetime is that for an anisotropic fluid which satisfies the different energy conditions. This spacetime is used to generate a rotating spacetime which admits closed timelike curves and may represent a Cosmic Time Machine. Faizuddin Ahmed Copyright © 2017 Faizuddin Ahmed. All rights reserved. Heavy Quark Potential with Hyperscaling Violation Mon, 06 Mar 2017 00:00:00 +0000 http://www.hindawi.com/journals/ahep/2017/8276534/ We investigate the behavior of the heavy quark potential in the backgrounds with hyperscaling violation. The metrics are covariant under a generalized Lifshitz scaling symmetry with the dynamical Lifshitz parameter and hyperscaling violation exponent . We calculate the potential for a certain range of and and discuss how it changes in the presence of the two parameters. Moreover, we add a constant electric field to the backgrounds and study its effects on the potential. It is shown that the heavy quark potential depends on the nonrelativistic parameters. Also, the presence of the constant electric field tends to increase the potential. Zi-qiang Zhang, Chong Ma, De-fu Hou, and Gang Chen Copyright © 2017 Zi-qiang Zhang et al. All rights reserved. Quantum Radiation Properties of General Nonstationary Black Hole Sun, 05 Mar 2017 00:00:00 +0000 http://www.hindawi.com/journals/ahep/2017/3875746/ Using the generalized tortoise coordinate transformations the quantum radiation properties of Klein-Gordon scalar particles, Maxwell’s electromagnetic field equations, and Dirac equations are investigated in general nonstationary black hole. The locations of the event horizon and the Hawking temperature depend on both time and angles. A new extra coupling effect is observed in the thermal radiation spectrum of Maxwell’s equations and Dirac equations which is absent in the thermal radiation spectrum of scalar particles. We also observe that the chemical potential derived from scalar particles is equal to the highest energy of the negative-energy state of the scalar particle in the nonthermal radiation in general nonstationary black hole. Applying generalized tortoise coordinate transformation a constant term is produced in the expression of thermal radiation in general nonstationary black hole. It indicates that generalized tortoise coordinate transformation is more accurate and reliable in the study of thermal radiation of black hole. T. Ibungochouba Singh Copyright © 2017 T. Ibungochouba Singh. All rights reserved. Mimetic Gravity: A Review of Recent Developments and Applications to Cosmology and Astrophysics Thu, 02 Mar 2017 07:56:43 +0000 http://www.hindawi.com/journals/ahep/2017/3156915/ Mimetic gravity is a Weyl-symmetric extension of General Relativity, related to the latter by a singular disformal transformation, wherein the appearance of a dust-like perfect fluid can mimic cold dark matter at a cosmological level. Within this framework, it is possible to provide a unified geometrical explanation for dark matter, the late-time acceleration, and inflation, making it a very attractive theory. In this review, we summarize the main aspects of mimetic gravity, as well as extensions of the minimal formulation of the model. We devote particular focus to the reconstruction technique, which allows the realization of any desired expansionary history of the universe by an accurate choice of potential or other functions defined within the theory (as in the case of mimetic gravity). We briefly discuss cosmological perturbation theory within mimetic gravity. As a case study within which we apply the concepts previously discussed, we study a mimetic Hořava-like theory, of which we explore solutions and cosmological perturbations in detail. Finally, we conclude the review by discussing static spherically symmetric solutions within mimetic gravity and apply our findings to the problem of galactic rotation curves. Our review provides an introduction to mimetic gravity, as well as a concise but self-contained summary of recent findings, progress, open questions, and outlooks on future research directions. Lorenzo Sebastiani, Sunny Vagnozzi, and Ratbay Myrzakulov Copyright © 2017 Lorenzo Sebastiani et al. All rights reserved. Lie Symmetry and the Bethe Ansatz Solution of a New Quasi-Exactly Solvable Double-Well Potential Thu, 02 Mar 2017 00:00:00 +0000 http://www.hindawi.com/journals/ahep/2017/2181532/ We study the Schrödinger equation with a new quasi-exactly solvable double-well potential. Exact expressions for the energies, the corresponding wave functions, and the allowed values of the potential parameters are obtained using two different methods, the Bethe ansatz method and the Lie algebraic approach. Some numerical results are reported and it is shown that the results are in good agreement with each other and with those obtained previously via a different method. M. Baradaran and H. Panahi Copyright © 2017 M. Baradaran and H. Panahi. All rights reserved. Ring-Shaped Potential and a Class of Relevant Integrals Involved Universal Associated Legendre Polynomials with Complicated Arguments Sun, 26 Feb 2017 13:49:10 +0000 http://www.hindawi.com/journals/ahep/2017/7374256/ We find that the solution of the polar angular differential equation can be written as the universal associated Legendre polynomials. Its generating function is applied to obtain an analytical result for a class of interesting integrals involving complicated argument, that is, , where . The present method can in principle be generalizable to the integrals involving other special functions. As an illustration we also study a typical Bessel integral with a complicated argument . Wei Li, Chang-Yuan Chen, and Shi-Hai Dong Copyright © 2017 Wei Li et al. All rights reserved. Renormalization of Chiral Nuclear Forces with Multiple Subtractions in Peripheral Channels Sun, 26 Feb 2017 06:41:05 +0000 http://www.hindawi.com/journals/ahep/2017/2316247/ We analyse the renormalization of the of two-nucleon interaction with multiple subtractions in peripheral waves considering two chiral forces at N3LO. Phase shifts at low energies are then computed with several subtraction points below  fm−1. We show that for most peripheral waves the phase shifts have nearly no dependence on the renormalization scale. In two cases the phase shifts converge slowly as the renormalization scale approaches  fm−1 and in one case the phase shifts presented oscillations with respect to the subtraction point . E. F. Batista, S. Szpigel, and V. S. Timóteo Copyright © 2017 E. F. Batista et al. All rights reserved. On the Frequency Distribution of Neutral Particles from Low-Energy Strong Interactions Wed, 22 Feb 2017 08:39:53 +0000 http://www.hindawi.com/journals/ahep/2017/8018470/ The rejection of the contamination, or background, from low-energy strong interactions at hadron collider experiments is a topic that has received significant attention in the field of particle physics. This article builds on a particle-level view of collision events, in line with recently proposed subtraction methods. While conventional techniques in the field usually concentrate on probability distributions, our study is, to our knowledge, the first attempt at estimating the frequency distribution of background particles across the kinematic space inside individual collision events. In fact, while the probability distribution can generally be estimated given a model of low-energy strong interactions, the corresponding frequency distribution inside a single event typically deviates from the average and cannot be predicted a priori. We present preliminary results in this direction and establish a connection between our technique and the particle weighting methods that have been the subject of recent investigation at the Large Hadron Collider. Federico Colecchia and Akram Khan Copyright © 2017 Federico Colecchia and Akram Khan. All rights reserved. Charmonium Mass Spectrum with Spin-Dependent Interaction in Momentum-Helicity Space Tue, 21 Feb 2017 09:55:24 +0000 http://www.hindawi.com/journals/ahep/2017/8321513/ In this paper we have solved the nonrelativistic form of the Lippmann-Schwinger equation in the momentum-helicity space by inserting a spin-dependent quark-antiquark potential model numerically. To this end, we have used the momentum-helicity basis states for describing a nonrelativistic reduction of one-gluon exchange potential. Then we have calculated the mass spectrum of the charmonium , and finally we have compared the results with the other theoretical results and experimental data. M. Radin Copyright © 2017 M. Radin. All rights reserved. A Specific Supersymmetric Quantum Mechanical Model: Supervariable Approach Sun, 19 Feb 2017 00:00:00 +0000 http://www.hindawi.com/journals/ahep/2017/1403937/ By exploiting the supersymmetric invariant restrictions on the chiral and antichiral supervariables, we derive the off-shell nilpotent symmetry transformations for a specific (0 + 1)-dimensional supersymmetric quantum mechanical model which is considered on a (1, 2)-dimensional supermanifold (parametrized by a bosonic variable and a pair of Grassmannian variables ()). We also provide the geometrical meaning to the symmetry transformations. Finally, we show that this specific SUSY quantum mechanical model is a model for Hodge theory. Aradhya Shukla Copyright © 2017 Aradhya Shukla. All rights reserved.