Unparticle Decay of Neutrinos and its Possible Signatures at a Km2{\rm Km}^2 Detector for (3+1) Flavour Framework

We consider a scenario where ultra high energy neutrinos undergo unparticle decay during its passage from its cosmological source to Earth. The idea of unparticle had been first proposed by Georgi by considering the possible existence of an unknown scale invariant sector at high energies and the unparticles in this sector manifest itself below a dimensional transmutation scale $\Lambda_{\cal U}$. We then explore the possible signature of such decaying neutrinos to unparticles at a square kilometer detector such as IceCube.Comment: 20 pages LaTeX, 5 eps figure

Two component WIMP-FImP dark matter model with singlet fermion, scalar and pseudo scalar

We explore a two component dark matter model with a fermion and a scalar. In this scenario the Standard Model (SM) is extended by a fermion, a scalar and an additional pseudo scalar. The fermionic component is assumed to have a global ${\rm U(1)}_{\rm DM}$ and interacts with the pseudo scalar via Yukawa interaction while a $\mathbb{Z}_2$ symmetry is imposed on the other component -- the scalar. These ensure the stability of both the dark matter components. Although the Lagrangian of the present model is CP conserving, however the CP symmetry breaks spontaneously when the pseudo scalar acquires a vacuum expectation value (VEV). The scalar component of the dark matter in the present model also develops a VEV on spontaneous breaking of the $\mathbb{Z}_2$ symmetry. Thus the various interactions of the dark sector and the SM sector are progressed through the mixing of the SM like Higgs boson, the pseudo scalar Higgs like boson and the singlet scalar boson. We show that the observed gamma ray excess from the Galactic Centre, self-interaction of dark matter from colliding clusters as well as the 3.55 keV X-ray line from Perseus, Andromeda etc. can be simultaneously explained in the present two component dark matter model.Comment: 35 pages, 5 figure

Biosorption of Ni(II) Ions from Electroplating Industrial Effluent using Tinospora cardifolia Biomass

A biomass derived from the plant Tinospora cardifolia has been found to be very efficient in Nickel(II) adsorption. An attempt was made to use this biomass for Nickel(II) removal under different conditions. The parameters optimized were contact time (5–1440 min), pH (1–10), concentration of adsorbent (1–7 gm/L), concentration of adsorbate (10–500 mg/L), etc. It was observed that the pH had a strong effect on biosorption capacity. The optimum pH obtained for nickel adsorption was 4.0. The influence of common ions such as Cu(II), Zn(II), Cd(II), Fe(III), Mn(II), Pb(II) and Cr(VI)  and NO3-, SO4- PO4- and Cl- at concentrations varying from 10 to 500 mg/l was investigated. To establish the most appropriate correlation for the equilibrium curves, isotherm studies were performed for Ni(II) ion using Freundlich and Langmuir adsorption isotherms. The pattern of adsorption fitted well with both models. The biomass of T. cardifolia was found to be effective for the removal of Ni(II) with 92.3% sorption efficiency at a concentration of 50 mg/l of Ni(II) solution, and thus uptake capacity(qm) according to Langmuir isotherm is 4.48 mg/g of biomass and in column mode 2.49 mg/g of biomass. Keywords: Nickel; Adsorption; Biomass; Tinospora cardifoli