4 research outputs found
CP Violating Rate Difference Relations for and in Broken SU(3)
Within the standard model there exist certain relations between CP violating
rate differences in B decays in the SU(3) limit. We study SU(3) breaking
corrections to these relations in the case of charmless, hadronic, two body
decays using the improved factorization model of Ref.\cite{3}. We consider the
cases and for both and mesons. We present an
estimate for in terms of .Comment: Latex 13 pages, no figure
Approximative Analytic Study of Fermions in Magnetar's Crust; Ultra-relativistic Plane Waves, Heun and Mathieu Solutions and Beyond
Working with a magnetic field periodic along and decaying in time, we
deal with the Dirac-type equation characterizing the fermions evolving in
magnetar's crust. For ultra-relativistic particles, one can employ the
perturbative approach, to compute the conserved current density components. If
the magnetic field is frozen and the magnetar is treated as a stationary
object, the fermion's wave function is expressed in terms of the Heun's
Confluent functions. Finally, we are extending some previous investigations on
the linearly independent fermionic modes solutions to the Mathieu's equation
and we discuss the energy spectrum and the Mathieu Characteristic Exponent.Comment: Accepted for publication in Astrophysics & Space Science, 15 pages,
No figure
Klein–Gordon and Dirac Equations with Thermodynamic Quantities
We study the thermodynamic quantities such as the Helmholtz free energy, the
mean energy and the specific heat for both the Klein-Gordon, and Dirac
equations. Our analyze includes two main subsections: () statistical
functions for the Klein-Gordon equation with a linear potential having Lorentz
vector, and Lorentz scalar parts () thermodynamic functions for the Dirac
equation with a Lorentz scalar, inverse-linear potential by assuming that the
scalar potential field is strong (). We restrict ourselves to the case
where only the positive part of the spectrum gives a contribution to the sum in
partition function. We give the analytical results for high temperatures.Comment: 15 pages, 8 figure