13534871
Vacuum structure of pure gauge theories on the lattice
Results from simulations on two aspects of quark confinement in the pure gauge sector are presented. First is the calculation of the profile of the flux tube connecting a static q[bar q] pair in SU(2). By use of the Michael sum rules as a constraint, evidence is set forth that the energy density at the center of the flux tube goes to a constant as a function of quark- separation. Slow variation of the width and energy density is not ruled out. Secondly in the confined phase of lattice U(l), the curl of the magnetic monopole current is calculated, and it is shown that the dual London equation is satisfied and that the electric fluxoid is quantized.
121664310
Energy and action of the colour fields around static quarks
Abstract Results on the profiles of the confining tube in the energy and action densities are discussed. Lattice sum rules are tested in detail.
18313253
Distribution of the color fields around static quarks: Flux tube profiles.
We report detailed calculations of the profiles of energy and action densities in the quark-antiquark string in SU(2) lattice gauge theory. We conclude that at a {ital q}-{ital q}{vert_bar} separation {ital R}{approx_equal}1.0 fm we are beginning to see the asymptotic flux tube. By employing the Michael sum rules we further conclude that the peak energy density approaches a constant in {ital R}. {copyright} {ital 1995 The American Physical Society.}
16619649
London relation and fluxoid quantization for monopole currents in U(1) lattice gauge theory.
We explore the mechanism of quark confinement in four-dimensional U(1) lattice gauge theory by measuring the color-magnetic current distribution from Dirac magnetic monopoles in the presence of a static quark-antiquark pair. Our results give the first direct evidence that the quarks induce a solenoidal current distribution that screens the color-electric flux of the quarks in an electric analogue of the Meissner effect in a superconductor. We show that the vacuum state of U(1) lattice gauge theory obeys both a dual version of the London equation and an electric fluxoid quantization condition.
16267009
Structure of Abrikosov vortices in SU(2) lattice gauge theory
Abstract We calculate the electric flux and magnetic monopole current distribution in the presence of a static quark-antiquark pair of SU(2) lattice gauge theory in the maximal Abelian gauge. The current distribution confines the flux in a dual Abrikosov vortex whose core size is comparable to the flux penetration depth. The observed structure is described by a dual Ginzburg-Landau model.
119421763
High precision study of the space distribution of the colour flux in the SU(2) lattice gauge theory
Abstract The work of the Cracow-LSU collaboration on the space structure of the colour fields around the static charges is reported. We find that the large cancellations between the electric and magnetic energy densities lead to a narrow tube.
8622370
Estimation of Impact Parameter on event-by-event basis in Nuclear Emulsion Detector
Photographic Nuclear Emulsion Detector (PNED) has been in use in nuclear and particle physics experiments from the begining, often as the major detector system. However, direct measurement of impact parameter in this detector does not seem possible due to some limitations. This paper discribe a simple yet strong method to estimate the impact parameter of events on event-by-event basis. Though this method is develpoed specifically for the photographic nuclear emulsion detector, we envision that it should also be applicable to other multi-target detector systems.
121418555
Anharmonic oscillator and the analytic theory of continued fractions
We study anharmonic oscillators of the type $a{x}^{2}+b{x}^{4}+c{x}^{6}$ using the theory of continued fractions. Introducing a new set of coupling constants (depending on $a$, $b$, and $c$) in terms of which the associated difference equation simplifies, we write the Green's function of the theory in terms of an infinite continued fraction of the Stieltjes type, whose poles give the energy eigenvalues. We prove that this continued fraction converges where the corresponding perturbation series in the dominant coupling diverges. We obtain the analytic structure of the Green's function in the complex plane of this coupling constant. A scale transformation allows us to study the analyticity of the Green's function for $a{x}^{2}+c{x}^{6}$ oscillators in the energy plane.
117752946
Study of neutron-induced background and its effect on the search of 0$\nu\beta\beta$ decay in $\rm^{124}Sn$
Neutron-induced background has been studied in various components of the TIN.TIN detector, which is under development for the search of Neutrinoless Double Beta Decay in $\rm^{124}Sn$. Fast neutron flux $\sim10^{6}~n~cm^{-2}s^{-1}$ covering a broad energy range ($ \sim0.1$ to $ \sim18$~MeV) was generated using $^{9}Be(p,n)^{9}B$ reaction. In addition, reactions with quasi-monoenergetic neutrons were also studied using $^{7}Li(p,n)^{7}Be$ reaction. Among the different cryogenic support structures studied, Teflon is found to be preferable compared to Torlon as there is no high energy gamma background ($E_\gamma >$ 1 MeV). Contribution of neutron-induced reactions in $\rm ^{nat, 124} $Sn from other Sn isotopes (A = 112 -- 122) in the energy region of interest, namely, around the $Q_{\beta\beta}$ of $\rm^{124}Sn$ ($E \sim$ 2.293 MeV), is also investigated.
199685807
Search of axions from a nuclear power reactor with a high-purity germanium detector
This article reports the first study of possible emissions of axions from power reactors using Primakoff and Compton conversions as the detection mechanisms. The expected experimental signatures are mono-energetic lines produced by their Primakoff or Compton conversions at a high-purity germanium (HPGe) detector. No evidence of axion emissions were observed and constraints on axion couplings versus axion mass within the framework of invisible axion models were placed. This experimental approach provides a unique probe for axion mass at the keV-MeV range not accessible to the other techniques.
119834941
Analytic continued fraction theory for a class of confinement potentials
We study a general class of confinement potentials in Schrödinger theory using the analytic theory of continued fractions. We construct an infinite continued fraction representation for the Green's function and study its convergence, its analytic properties in the major coupling constant and its relation to the perturbation series. We prove the existence of normalizable confined state eigensolutions with equally spaced energy levels if certain constraints on the coupling constants of the theory are satisfied: we also show that under a separate set of constraints neither bound nor confined states exist.