Shell model and deformed shell model spectroscopy of 62^{62}Ga

In the present work we have reported comprehensive analysis of recently available experimental data [H.M. David et al., Phys. Lett. B {\bf 726}, 665 (2013)] for high-spin states up to $17^+$ with $T=0$ in the odd-odd $N=Z$ nucleus $^{62}$Ga using shell model calculations within the full $f_{5/2}pg_{9/2}$ model space and deformed shell model based on Hartee-Fock intrinsic states in the same space. The calculations have been performed using jj44b effective interaction developed recently by B.A. Brown and A.F. Lisetskiy for this model space. The results obtained with the two models are similar and they are in reasonable agreement with experimental data. In addition to the $T=0$ and $T=1$ energy bands, band crossings and electromagnetic transition probabilities, we have also calculated the pairing energy in shell model and all these compare well with the available theoretical results.Comment: 9 pages, 4 figure

Comments on "Observation of Long-Range, Near-Side Angular Correlations in proton-proton Collisions at the LHC" by CMS Collaboration. arXiv:1009.4122[hep-ex]

We present comments on the paper "Observation of Long-Range, Near-Side Angular Correlations in proton-proton Collisions at the LHC"

Application of Relativistic Coupled-cluster Theory to Electron Impact Excitations of Mg+^+ in the Plasma Environment

A relativistic coupled-cluster (RCC) theory is implemented to study electron impact excitations of atomic species. As a test case, the electron impact excitations of the $3s ~ ^2S_{1/2} - 3p ~ ^2P_{1/2;3/2}$ resonance transitions are investigated in the singly charged magnesium (Mg$^+$) ion using this theory. Accuracies of wave functions of Mg$^+$ are justified by evaluating its attachment energies of the relevant states and compared with the experimental values. The continuum wave function of the projectile electron are obtained by solving Dirac equations assuming distortion potential as static potential of the ground state of Mg$^+$. Comparison of the calculated electron impact excitation differential and total cross-sections with the available measurements are found to be in very good agreements at various incident electron energies. Further, calculations are carried out in the plasma environment in the Debye H\"uckel model framework, which could be useful in the astrophysics. Influence of plasma strength on the cross-sections as well as linear polarization of the photon emission in the $3p ~ ^2P_{3/2} - 3s ~ ^2S_{1/2}$ transition is investigated for different incident electron energies.Comment: 9 pages, 1 table and 3 figure

Comparison of Lagrange’s and Newton’s interpolating polynomials

A set of fourteen functions have been considered in various intervals. Lagrange’s and Newton’s interpolating polynomials have been obtained for each function using a computer program developed in C++ programming language. Average of the maximum percentage error for the functions in Newton’s interpolating polynomial and Lagrange’s interpolating polynomial are 765.3107 and 898.9139 respectively. This indicates that the Newton’s interpolating polynomial is approximately 1.174574 times better than the Lagrange’s interpolating polynomial

Hydromagnetic Couette Flow with Time Dependent Suction or Injection

Hydromagnetic couette flow of an electrically conducting viscous and incompressible fluid in a transverse magnetic field is studied when the plates are non magnetic and non conducting. The suction velocity is assumed to be varying as [(time)- Sup 1/2] . The analysis is valid for small values of hydromagnetic parameter[(Mt)/Sup1/2 ]and for magnetic Prandtl number unity