A study of high frequency nonlinear combustion instability in baffled annular liquid propellant rocket motors. Volume 2 - A user manual for computer programs TRDL and TRDPLT Final report, 25 Aug. 1969 - 25 Sep. 1970

User manual for computer programs to determine high frequency instability in baffled annular liquid propellant rocket engines - Vol.

A study of high frequency nonlinear combustion instability in baffled annular liquid propellant rocket motors, volume 1 Final report, 25 Aug. 1969 - 25 Sep. 1970

High frequency nonlinear combustion instability in baffled annular liquid propellant rocket engines - Vol.

Analytical study of control devices for high amplitude combustion instability Quarterly report

Mathematical model and analysis of combustion processes in annular rocket engines for control of high amplitude combustion instabilit

Analysis of error growth and stability for the numerical integration of the equations of chemical kinetics

Error growth and stability analyzed for numerical integration of differential equations in chemical kinetic

Anomaly induced QCD potential and Quark Decoupling

We explore the anomaly induced effective QCD meson potential in the framework of the effective Lagrangian approach. We suggest a decoupling procedure, when a flavored quark becomes massive, which mimics the one employed by Seiberg for supersymmetric gauge theories. It is seen that, after decoupling, the QCD potential naturally converts to the one with one less flavor. We study the $N_c$ and $N_f$ dependence of the $\eta^{\prime}$ mass.Comment: 11 pages, RevTe

Nonlinear combustion instability in liquid-propellant rocket motors Final report

Mathematical models of nonlinear combustion instabilities in liquid propellant rocket engin

Investigating the Light Scalar Mesons

We first briefly review a treatment of the scalars in meson meson scattering based on a non-linear chiral Lagrangian, with unitarity implemented by a "local" modification of the scalar propagators. It is shown that the main results are confirmed by a treatment in the SU(3) linear sigma model in which unitarity is implemented "globally". Some remarks are made on the speculative subject of the scalars' quark structure.Comment: 9 pages,3 figures,talk at hadron2001, Protvin

Complementary Ansatz for the neutrino mass matrix

We propose a simple Ansatz for the three generation neutrino mass matrix $M_\nu$ which is motivated from an SO(10) grand unified theory. The Ansatz can be combined with information from neutrino oscillation experiments and bounds on neutrinoless double beta decay to determine the neutrino masses themselves and to reconstruct, with some assumptions, the matrix $M_\nu$ .Comment: 15 pages, RevteX, submitted to Phys. Rev.

A study of high frequency nonlinear combustion instability in baffled annular liquid propellant rocket motors

Computer program contains mathematical model which provides relationship between engine gas dynamics and combustion processes. Mathematically simulated explosions initiate gas disturbances. Design methods for damping disturbances can be studied to prevent future engine shutdown or destruction

Toy model for two chiral nonets

Motivated by the possibility that nonets of scalar mesons might be described as mixtures of "two quark" and "four quark" components, we further study a toy model in which corresponding chiral nonets (containing also the pseudoscalar partners) interact with each other. Although the "two quark" and "four quark" chiral fields transform identically under SU(3)$_L \times$ SU(3)$_R$ transformations they transform differently under the U(1)$_A$ transformation which essentially counts total (quark + antiquark) content of the mesons. To implement this we formulate an effective Lagrangian which mocks up the U(1)$_A$ behavior of the underlying QCD. We derive generating equations which yield Ward identity type relations based only on the assumed symmetry structure. This is applied to the mass spectrum of the low lying pseudoscalars and scalars. as well as their "excitations". Assuming isotopic spin invariance, it is possible to disentangle the amount of"two quark" vs."four quark" content in the pseudoscalar $\pi, K ,\eta$ type states and in the scalar $\kappa$ type states. It is found that a small "four quark" content in the lightest pseudoscalars is consistent with a large "four quark" content in the lightest of the scalar $\kappa$ mesons. The present toy model also allows one to easily estimate the strength of a "four quark" vacuum condensate. There seems to be a rich and interesting structure.Comment: Numerical results updated, typos corrected, references update