Ground state of (16)O

We use the coupled cluster expansion (exp(S) method) to solve the many-body Schrodinger equation in configuration space in a configuration space of 35 $\hbar\omega.$ The Hamiltonian includes a nonrelativistic one-body kinetic energy, a realistic two-nucleon potential and a phenomenological three-nucleon potential. Using this formalism we generate the complete ground state correlations due the underlying interactions between nucleons. The resulting ground state wave function is used to calculate the binding energy, the one- and two-body densities for the ground state of \sp{16}O. The problem of center-of-mass corrections in calculating observables has been worked out by expanding the center-of-mass correction as many-body operators. For convergence testing purposes, we apply our formalism to the case of the harmonic oscillator shell model, where an exact solution exists. We also work out the details of the calculation involving realistic nuclear wave functions

Dynamics of particle production by strong electric fields in non-Abelian plasmas

We develop methods for computing the dynamics of fermion pair production by strong color electric fields using the semi-classical Boltzmann-Vlasov equation. We present numerical results for a model with SU(2) symmetry in (1+1) dimension.Comment: 10 pages, 8 figure

Casimir dependence of transverse distribution of pairs produced from a strong constant chromo-electric background field

The transverse distribution of gluon and quark-antiquark pairs produced from a strong constant chromo-electric field depends on two gauge invariant quantities, $C_1=E^aE^a$ and $C_2=[d_{abc}E^aE^bE^c]^2$, as shown earlier in [G.C. Nayak and P. van Nieuwenhuizen, Phys. Rev. D 71, 125001 (2005)] for gluons and in [G.C. Nayak, Phys. Rev. D 72, 125010 (2005)] for quarks. Here, we discuss the explicit dependence of the distribution on the second Casimir invariant, C_2, and show the dependence is at most a 15% effect.Comment: 5 fig

Asymptotic Behavior of the Wave Packet Propagation through a Barrier: the Green's Function Approach Revisited

To model the decay of a quasibound state we use the modified two-potential approach introduced by Gurvitz and Kalbermann. This method has proved itself useful in the past for calculating the decay width and the energy shift of an isolated quasistationary state. We follow the same approach in order to propagate the wave-packet in time with the ultimate goal of extracting the momentum-distribution of emitted particles. The advantage of the method is that it provides the time-dependent wave function in a simple semi-analytic form. We intend to apply this method to the modeling of metastable states for which no direct integration of the time-dependent Schroedinger equation is available today.Comment: 7 page