13,467 research outputs found
Neutrino Mass, Coupling Unification, Verifiable Proton Decay, Vacuum Stability and WIMP Dark Matter in SU(5)
Nonsupersymmetric minimal SU(5) with Higgs representations and
and standard fermions in is well known for its
failure in unification of gauge couplings and lack of predicting neutrino
masses. Like standard model, it is also affected by the instability of the
Higgs scalar potential. We note that extending the Higgs sector by and
not only leads to the popular type-II seesaw ansatz for neutrino
masses with a lower bound on the triplet mass GeV,
but also achieves precision unification of gauge couplings without
proliferation of non-standard light Higgs scalars or fermions near the TeV
scale. Consistent with recent LUX-2016 lower bound, the model easily
accommodates a singlet scalar WIMP dark matter near the TeV scale which
resolves the vacuum stability issue even after inclusion of heavy triplet
threshold effect. We estimate proton lifetime predictions for
including uncertainties due to input parameters and threshold effects due to
superheavy Higgs scalars and superheavy gauge bosons.
The predicted lifetime is noted to be verifiable at Super Kamiokande and Hyper
Kamiokande experiments.Comment: 36 pages, 9 figures (Accepted for publication in Advances in High
Energy Physics
Chaplygin electron gas model
We provide a new electromagnetic mass model admitting Chaplygin gas equation
of state. We investigate three specializations, the first characterized by a
vanishing effective pressure, the second provided with a constant effective
density and the third is described by a constant effective pressure. For these
specializations two particular cases are discussed. In addition, for
specialization I, case I we found isotropic coordinate as well as Kretschmann
scalar, and for specialization III, case II two special scenarios have been
studied.Comment: LaTex, some typos correcte
Density Functional Theory of Multicomponent Quantum Dots
Quantum dots with conduction electrons or holes originating from several
bands are considered. We assume the particles are confined in a harmonic
potential and assume the electrons (or holes) belonging to different bands to
be different types of fermions with isotropic effective masses. The density
functional method with the local density approximation is used. The increased
number of internal (Kohn-Sham) states leads to a generalisation of Hund's first
rule at high densities. At low densitites the formation of Wigner molecules is
favored by the increased internal freedom.Comment: 11 pages, 5 figure
Exact mean field inference in asymmetric kinetic Ising systems
We develop an elementary mean field approach for fully asymmetric kinetic
Ising models, which can be applied to a single instance of the problem. In the
case of the asymmetric SK model this method gives the exact values of the local
magnetizations and the exact relation between equal-time and time-delayed
correlations. It can also be used to solve efficiently the inverse problem,
i.e. determine the couplings and local fields from a set of patterns, also in
cases where the fields and couplings are time-dependent. This approach
generalizes some recent attempts to solve this dynamical inference problem,
which were valid in the limit of weak coupling. It provides the exact solution
to the problem also in strongly coupled problems. This mean field inference can
also be used as an efficient approximate method to infer the couplings and
fields in problems which are not infinite range, for instance in diluted
asymmetric spin glasses.Comment: 10 pages, 7 figure
Shapes of Semiflexible Polymers in Confined Spaces
We investigate the conformations of a semiflexible polymer confined to a
square box. Results of Monte Carlo simulations show the existence of a shape
transition when the persistence length of the polymer becomes comparable to the
dimensions of box. An order parameter is introduced to quantify this behavior.
A simple mean-field model is constructed to study the effect of the shape
transition on the effective persistence length of the polymer.Comment: 8 pages, 20 figure
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