120097279
Thirring fermions at high temperature
A Green's-function method is used to study the thermodynamic properties of self-interacting massless dimension and one time dimension. It is shown that the exact expression can be obtained for the thermodynamic one-particle Green's function for the case where the dimensionless chemical potential $mu$ = 0, which is identical with the corresponding field-theoretic Green's function. The number density is obtained as an infinite sum. It exhibits a peculiar peaked behavior as a function of momentum. The energy, however, is a continuous function of temperature. (AIP)
21885814
Measurable decay modes of barium isotopes via exotic cluster emissions.
Cluster decays of $^{112\mathrm{\ensuremath{-}}120}\mathrm{Ba}$ nuclei are calculated within a preformed cluster model. The \ensuremath{\alpha}-nuclei $^{4}\mathrm{He}$, $^{8}\mathrm{Be}$, $^{12}\mathrm{C}$, $^{16}\mathrm{O}$, and $^{20}\mathrm{Ne}$ are predicted as the possible decay modes, lying within the limits of present experimental methods. Other than the \ensuremath{\alpha} particle, $^{12}\mathrm{C}$ decay of $^{112}\mathrm{Ba}$ is shown to be the most probable one with half-life time ${\mathit{T}}_{1/2}$\ensuremath{\sim}${10}^{4}$ s, stressing the role of doubly magic $_{50}^{100}\mathrm{Sn}$ daughter nucleus in cluster radioactivity. The use of different Q values for ${\mathit{T}}_{1/2}$ estimates and presence of nuclear structure effects in Geiger-Nuttall plots are also discussed.
15951627
Texture 4 zero Fritzsch-like lepton mass matrices
For Majorana or Dirac neutrinos, using Fritzsch-like texture 4 zero mass matrices with parallel texture structures for the charged leptons and the Dirac neutrino mass matrix (${M}_{\ensuremath{\nu}D}$), detailed predictions for cases pertaining to normal/inverted hierarchy as well as degenerate scenarios of neutrino masses have been carried out. The inverted hierarchy as well as degenerate scenarios seem to be ruled out at $3\ensuremath{\sigma}$ C.L. for both Majorana and Dirac neutrinos. For normal hierarchy, Jarlskog's rephasing invariant parameter $J$, the $CP$ violating Dirac-like phase $\ensuremath{\delta}$, and the effective neutrino mass $⟨{m}_{ee}⟩$ have been calculated. For this case, lower limits of ${m}_{{\ensuremath{\nu}}_{1}}$ and ${\ensuremath{\theta}}_{13}$ would have implications for the nature of neutrinos.
120089094
Bianchi Type-II inflationary models with constant deceleration parameter in general relativity
Einstein’s field equations are considered for a locally rotationally symmetric Bianchi Type-II space-time in the presence of a massless scalar field with a scalar potential. Exact solutions of scale factors and other physical parameters are obtained by using a special law of variation for Hubble’s parameter that yields a constant value of deceleration parameter. To get inflationary solutions, a flat region is considered in which the scalar potential is constant. Power-law and exponential cases are studied and in both solutions there is an anisotropic expansion of the cosmic fluid, but the fluid has vanishing vorticity. A detailed study of geometrical and kinematical properties of solutions has been carried out.
118028364
Effect of Symmetry Energy on Intermediate Mass Fragments Production
The science of nuclear physics deals with the properties of nuclear matter which makes up the massive centre of the atom. When two heavy nuclei collide at high energy, they create strongly interacting matter at energy densities far above that of normal nuclei. Depending upon the energy through which two nuclei collide different type of phenomena occurs. When energy of colliding nuclei is between 100-600 MeV/nucleon then multifragmentation take place. By studying the fragments (at final stage of reaction) we can seize the idea about initial condition and various other parameter which influence the reaction and vice-versa. The symmetry energy Esym (ρ) of nuclear matter characterizes how the energy rises as one move away from equal numbers of neutrons and protons. Both the magnitude and density dependence of Esym (ρ) are critical for understanding the structure of rare isotopes and the reaction mechanism of heavy ion collisions but also many interesting issues in astrophysics. The best estimate of the density dependence of the symmetry energy can be parameterized as[3]
16931053
CP-odd weak basis invariants and texture zeros
We construct the CP-odd weak basis invariants from the neutrino mass matrix in a weak basis, in which the charged lepton mass matrix is diagonal, and find the necessary and sufficient conditions for CP conservation. We study the interrelationships between different CP-odd weak basis invariants to examine their implications for the Dirac- and Majorana-type CP violating phases for the phenomenologically allowed Frampton-Glashow-Marfatia texture zero structures of the neutrino mass matrix.
116542469
Study of gold induced heavy ion collisions using isospin dependent QMD model
We have studied the fragment production mechanism in the set of four reactions 197Au79+12C6, 197Au79+26Al13, 197Au79+63Cu29 and 197Au79+208Pb82. The reactions are simulated at an energy 600 MeV/nucleon and collision geometry is varied from central to peripheral (= b/bmax = 0 to 1). A theoretical investigation has been carried out on the study of mass dependence of intermediate mass fragments (5\leqA\leqAtot/6) and other fragments. It is observed that multiplicity shows a good agreement for low Zbound, but it fails for high Zbound. This failure is due the method of analysis MST which we had used in our analysis, because MST method gives one heavy cluster at the time of high density. The discrepancy between theory and experiments can be removed by using reduced isospin dependent NN cross section and sophisticated clustrization algorithm SACA.