Single Heavy Flavour Baryons using Coulomb plus Power law interquark Potential

Properties of single heavy flavor baryons in a non relativistic potential model with colour coulomb plus power law confinement potential have been studied. The ground state masses of single heavy baryons and the mass difference between the ($J^{P}={3/2}^{+}$ and $J^{P}={1/2}^{+}$) states are computed using a spin dependent two body potential. Using the spin-flavour structure of the constituting quarks and by defining an effective confined mass of the constituent quarks within the baryons, the magnetic moments are computed. The masses and magnetic moments of the single heavy baryons are found to be in accordance with the existing experimental values and with other theoretical predictions. It is found that an additional attractive interaction of the order of -200 Me$V$ is required for the antisymmetric states of $\Lambda_{Q}$ (Q$\in c,b)$. It is also found that the spin hyperfine interaction parameters play decisive role in hadron spectroscopy.Comment: 16 Pages, 3 Figures, Paper submitted in EPJ

State space formulation of TFEA & uncharted islands of instability in milling

The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file.Title from title screen of research.pdf file (viewed on January 7, 2008)Includes bibliographical references.Thesis (M.S.) University of Missouri-Columbia 2007.Dissertations, Academic -- University of Missouri--Columbia -- Mechanical and aerospace engineering.A new approach is developed to examine the stability of delay differential equations that builds upon the previous work in temporal finite element analysis. In contrast to the results of previous work, which could only be applied to second order delay differential equations, the present work is on developing an approach which can be applied to a broader class of systems that may be written in the form of a state space model. Conclusive evidence that isolated islands of chatter vibration can exist inthe stability charts of milling processes is provided. Modeling efforts consider the influence of the tool helix angle to obtain the aforementioned results and develop an analytical force model with three piecewise continuous regionsof cutting. Theoretical predictions are validated by a series of experimental tests that confirm the isolated island phenomenon