We consider non-relativistic electrons in one dimension with infinitely strong repulsive delta function interaction. We calculate the long-time, large-distance asymptotics of field-field correlators in the gas phase. The gas phase at low temperatures is characterized by the ideal gas law. We calculate the exponential decay, the power law corrections and the constant factor of the asymptotics. O...

astrophysics is becoming now an integral part of general physics. considering the black hole theory ,which is a new and exciting branch of relativistic astrophysics, we see many connections between elementary particle physics and astrophysics. in this article we attempt to explain the development of star physics ,in an easy ,understandable manner. previous knowledge of relativistic theory or cl...

The maximal acceleration corrections to the Lamb shift of one{ electron atoms are calculated in a non{relativistic approximation. They are compatible with experimental results, are in particularly good agreement with the 2S 2P Lamb shift in hydrogen and reduce by 50% the experiment-theory discrepancy for the 2S 2P shift in He. PACS: 04.90.+e, 12.20.Ds.

We present preliminary results from our study of the heavy-light spectrum and decay constants. For the heavy quark, we use NRQCD at various masses around and above the b quark mass. For the first time, the heavy quark action and the heavy-light current consistently include corrections at second order in the non-relativistic expansion, as well as the leading finite a corrections. The light quark...

The Pauli approach to account for the mass-velocity and Darwin relativistic corrections has been applied to the formalism for quantum mechanical molecular calculations that does not assume the Born-Oppenheimer (BO) approximation regarding separability of the electronic and nuclear motions in molecular systems. The corrections are determined using the first order perturbation theory and are deri...

Algorithms for calculating the leading mass-velocity (MV) and Darwin (D) relativistic corrections are derived for electronic wave functions expanded in terms of n-electron explicitly correlated Gaussian functions with shifted centers and without pre-exponential angular factors. The algorithms are implemented and tested in calculations of MV and D corrections for several points on the ground-sta...

Canonically, the quantum electrodynamic radiative corrections in bound systems have been evaluated in photon energy regularization, i.e. using a noncovariant overlapping parameter that separates the high-energy relativistic scales of the virtual quanta from the nonrelativistic domain. Here, we calculate the higher-order corrections to the one-photon self-energy calculation with three different ...

By using a relativistic framework and accurate nuclear spectral functions we evaluate the ratio F 3A /AF 3N of deep inelastic neutrino scattering. Parametrizations of this ratio for different values of Q 2 are provided. These results should be useful for taking into account the nuclear effects in analyses of experimental data in neutrino reactions in nuclear targets, and test QCD predictions fo...

In the framework of a relativistic quark model constructed in an infinite momentum frame, corrections of the order of v/c are obtained in the formulas which express amplitudes of the transitions ψ(ψ′) → η c (η′ c )γ, χ J → ψγ, ψ′ → χ J γ, h c → η c γ, η′ c → h c γ through overlap integrals ∫ φf(q)φi(q)dq, ∫ φf(r)rφi(r)dr. These corrections lead to a considerable suppression of Γ(ψ → η c γ), how...

Applying asymptotic expansions at threshold, we compute the two-loop QCD correction to the short-distance coefficient that governs the leptonic decay ψ → l+l− of a S-wave quarkonium state and discuss its impact on the relation between the quarkonium non-relativistic wave function at the origin and the quarkonium decay constant in full QCD. PACS Nos.: 13.20.Gd, 12.38.Bx Quarkonium decays played ...