Parameter degeneracies in FNAL-Homestake LBNE setup

LBNE (Longbaseline Neutrino Oscillation Experiments) provide a powerful experimental setup to study sensitivities and exlcusion limits in neutrino oscillation parameter space. A longbaseline experiment is being planned, at USA, from FNAL (Fermilab National Accelerator Laboratory) to an underground laboratory at Homestake in South Dakota, at an angle of 5.84 degrees from FNAL (at a distance of 1289 km). The prospect of a new beamline towards this location from FNAL, and a 300 Kiloton water Cerenkov detector at the site is in planning stage, for the studies of the neutrino physics program. The long baseline provides sufficient matter effects for neutrino travel, and a large detrecor will help towards better statistics. In this work, we present, upto what extent, the parameter degeneracies, present in oscillation parameter space, can be resolved, using this FNAL-LBNE setup.Comment: 7 pages, 3 figure

Every 4-equivalenced association scheme is Frobenius

For a positive integer $k$, we say that an association scheme $(\Omega,S)$ is $k$-equivalenced if each non-diagonal element of $S$ has valency $k$. $k$-equivalenced is weaker than pseudocyclic. It is known that every $k$-equivalenced association scheme is Frobenius when $k=2,3$ and every $4$-equivalenced association scheme is pseudocyclic. In this paper, we will show that every $4$-equivalenced association scheme is Frobenius.Comment: 11 page

Updated values of running quark and lepton masses at GUT scale in SM, 2HDM and MSSM

Updated values of running quark and lepton masses at GUT (Grand unified theories) scales are important for fermion mass model building, and to calculate neutrino masses, in GUTs . We present their values at GUT scales, in SM, MSSM and 2HDM theories, using the latest values of running quark and lepton masses.Comment: 6 pages, 6 table

On Bost-Connes type systems and Complex Multiplication

By using the theory of Complex Multiplication for general Siegel modular varieties we construct arithmetic subalgebras for BC-type systems attached to number fields containing a CM field. Our approach extends the construction of Connes, Marcolli and Ramachandran given in the case of imaginary quadratic fields.Comment: accepted for publication in the Journal of NC

On arithmetic models and functoriality of Bost-Connes systems. With an appendix by Sergey Neshveyev

This paper has two parts. In the first part we construct arithmetic models of Bost-Connes systems for arbitrary number fields, which has been an open problem since the seminal work of Bost and Connes [3]. In particular our construction shows how the class field theory of an arbitrary number field can be realized through the dynamics of a certain operator algebra. This is achieved by working in the framework of Endomotives, introduced by Connes, Marcolli and Consani [5], and using a classification result of Borger and de Smit [1] for certain {\Lambda}-rings in terms of the Deligne-Ribet monoid. Moreover the uniqueness of the arithmetic model is shown by Sergey Neshveyev in an appendix. In the second part of the paper we introduce a base-change functor for a class of algebraic endomotives and construct in this way an algebraic refinement of a functor from the category of number fields to the category of Bost-Connes systems, constructed recently by Laca, Neshveyev and Trifkovic [13].Comment: 25 pages, title changed, to appear in Invent. Mat

Weighted Hamming Metric Structures

A weighted Hamming metric is introduced in [4] and it showed that the binary generalized Goppa code is a perfect code in some weighted Hamming metric. In this paper, we study the weight structures which admit the binary Hamming code and the extended binary Hamming code to be perfect codes in the weighted Hamming metric. And, we also give some structures of a 2-perfect code and how to construct a 2-perfect code in some weighted Hamming metric.Comment: 9 page

Main parameters of SppC-based "linac-ring eA" and "ring-ring muA" colliders

Concerning future lepton-nucleus colliders, International Linear Collider (ILC) and Plasma Wake Field Accelerator-Linear Collider (PWFA-LC) electrons in order of 0.5 TeV and 5 TeV, respectively, colliding with Super proton-proton Collider (SppC)'s 3075 TeV lead ions, are considered as "linac-ring eA" options. In addition, 1.5 TeV option of the Muon Collider (MC) vs 3075 TeV lead ions of the SppC is also taken into account as a "ring-ring muA" collider. Luminosity values of the SppC-based eA and muA colliders are estimated. 3075 TeV lead parameters for 100 km-circumference option of the SppC are taken into account to optimize luminosities of electron-nucleus and muon-nucleus collisions, keeping beam-beam effects and disruption in mind. It is shown that luminosities of order of 10^30 cm^-2s^-1 can be achieved by moderate upgrades of lepton and nucleus beam parameters.Comment: This work is NOT prepared for a conferenc

Thermal instability of an optically thin dusty plasma

We investigate the role of thermal instability, arising from radiative cooling of an optically thin, dusty plasma, by linear stability analysis. The corresponding isobaric stability condition for condensation mode is found to be modified significantly by the degree of ionization and concentration of finite sized, relatively heavy, and negatively charged dust particles. It has been shown that though the fundamental wave mode is similar in nature to the one in absence of dust particles, a new dust-wave mode can propagate in such a plasma. It is conjectured that the presence of negatively charged dust particles may considerably affect the stability of various astrophysical structures against thermal instability, which can not be explained with the help of gravitational instability.Comment: 9 pages, 5 eps figure

Nuclear level density as a tool for probing the inelastic scattering of 6He

The cross sections are calculated for the both elastic and inelastic scattering of 6He from 12C and 4He. A phenomenological optical potential is used to describe the elastic scattering. 4He is taken as spherical and inelastic couplings to the first excited states of 6He and 12C are described with collective rotational model and coupled-channels method. Deformation lengths for 6He and 12C are determined from semi-classical nuclear level density model by using Laplace-like formula for the nuclear level density parameter. The comparison of the predicted and the measured cross sections are presented to test the applicability of nuclear level density model to the light exotic nuclei reactions. Good agreement is achieved between the predicted and measured cross sections.Comment: 4 pages, 3 figures, talk given at "Nuba Conference Series-1: Nuclear Physics and Astrophysics", 15-21 September 2014, Akdeniz University, Antalya, Turke

A simple formula for the Picard number of K3 surfaces of BHK type

The BHK mirror symmetry construction stems from work Berglund and Huebsch, and applies to certain types of Calabi-Yau varieties that are birational to finite quotients of Fermat varieties. Their definition involves a matrix $A$ and a certain finite abelian group $G$, and we denote the corresponding Calabi-Yau variety by $Z_{A,G}$. The transpose matrix $A^T$ and the so-called dual group $G^T$ give rise to the BHK mirror variety $Z_{A^T,G^T}$. In the case of dimension 2, the surface $Z_{A,G}$ is a K3 surface of BHK type. Let $Z_{A,G}$ be a K3 surface of BHK type, with BHK mirror $Z_{A^T,G^T}$. Using work of Shioda, Kelly shows that the geometric Picard number of $Z_{A,G}$ may be expressed in terms of a certain subset of the dual group $G^T$. We simplify this formula significantly to show that this Picard number depends only upon the degree of the mirror polynomial $F_{A^T}$.Comment: 17 page