In this research we work with the effective Hamiltonian and the quark model. We investigate the decay rates of matter-antimatter of quark. We describe the effective Hamiltonian theory and apply this theory to the calculation of current-current ( ), QCD penguin ( ), magnetic dipole ( ) and electroweak penguin ( ) decay rates. The gluonic penguin structure of hadronic decays is studied thro...

in this paper, we study the multiplicity of positive solutions for the laplacian systems with sign-changing weight functions. using the decomposition of the nehari manifold, we prove that an elliptic system has at least two positive solutions.

It has been proved by S.L.Ziglin [1], for a large class of 2-degree-of-freedom (d.o.f) Hamiltonian systems, that transverse intersections of the invariant manifolds of saddle fixed points imply infinite branching of solutions in the complex time plane and the non–existence of a second analytic integral of the motion. Here, we review in detail our recent results, following a similar approach to ...

In this paper, we study the Chebyshev property of the 3-dimentional vector space $E =langle I_0, I_1, I_2rangle$, where $I_k(h)=int_{H=h}x^ky,dx$ and $H(x,y)=frac{1}{2}y^2+frac{1}{2}(e^{-2x}+1)-e^{-x}$ is a non-algebraic Hamiltonian function. Our main result asserts that $E$ is an extended complete Chebyshev space for $hin(0,frac{1}{2})$. To this end, we use the criterion and tools developed by...

In the last years, the theory of numerical methods for system of non-stiff and stiff ordinary differential equations has reached a certain maturity. So, there are many excellent codes which are based on Runge–Kutta methods, linear multistep methods, Obreshkov methods, hybrid methods or general linear methods. Although these methods have good accuracy and desirable stability properties such as A...

We consider a general class of boundary terms of the open XYZ spin-1/2 chain compatible with integrability. We have obtained the general elliptic solution of K-matrix obeying the boundary Yang-Baxter equation using the R-matrix of the eight vertex model and derived the associated integrable spin-chain Hamiltonian. 1+1 dimensional integrable models with boundaries find interesting applications i...