We study the effect of imperfect subtraction of the Sunyaev-Zel’dovich effect (SZE) using a robust and non-parametric method to estimate the SZE residual in the Planck channels. We include relativistic corrections to the SZE, and present a simple fitting formula for the SZE temperature dependence for the Planck channels. We show how the relativistic corrections constitute a serious problem for ...

The dissociation energy of molecular hydrogen is determined theoretically with a careful estimation of error bars by including nonadiabatic, relativistic, and quantum electrodynamics (QED) corrections. The relativistic and QED corrections were obtained at the adiabatic level of theory by including all contributions of the order α(2) and α(3) as well as the major (one-loop) α(4) term, where α is...

We extend the formalism of the relativistic thermal Sunyaev-Zel’dovich effect to the system moving with a velocity ~ β ≡ ~v/c with respect to the cosmic microwave background radiation. In the present formalism, the kinematic Sunyaev-Zel’dovich effect for the cluster of galaxies with a peculiar velocity ~ β is derived in a straightforward manner by the Lorentz boost of the generalized Kompaneets...

Relativistic effects in the breakup of weakly-bound nuclei at intermediate energies are studied by means of the continuum-discretized coupled-channels method with eikonal approximation. Nuclear coupling potentials with Lorentz contraction are newly included and those effects on breakup cross sections are investigated. We show that relativistic corrections lead to larger breakup cross sections. ...

We present results from a lattice Monte Carlo study of the Nambu – Jona-Lasinio model in 3+1 dimensions with a baryon chemical potential μ 6= 0. As μ is increased there is a transition from a chirally-broken phase to relativistic quark matter, in which baryon number symmetry appears spontaneously broken by a diquark condensate at the Fermi surface, implying a superfluid ground state. Finite vol...

Hadronic annihilation decay rates of P-wave heavy quarkonia are given to nextto-leading order in both αs and v 2. They include ten nonperturbative parameters, which can be rigorously defined as the matrix elements of color-singlet and coloroctet operators in NRQCD. We expect these papameters will be determined from lattice calculations in future. PACS number(s): 13.25.Gv, 12.38.Bx BBL (Bodwin, ...

QCD running coupling constant αs(mc) and αs(mb) are determined from heavy quarkonia cc and bb decays. The decay rates of V → 3g and V → e+e− for V = J/ψ and Υ are estimated by taking into account both relativistic and QCD radiative corrections. The decay amplitudes are derived in the BetheSalpeter formalism, and the decay rates are estimated by using the meson wavefunctions which are obtained w...

Comparison of relativistically and nonrelativistically calculated intensity versus energy profiles in low energy electron diffraction (LEED) from the (111) surface of Au (2 = 79) reveals that relativistic corrections are quite significant. They can however, be obtained in very good approximation by quasirelativistic calculations, in which spin-averaged relativistic phase shifts are used as inpu...

We present a general relativistic framework for studying gravitational effects in quantum mechanical phenomena. We concentrate our attention on the case of ultra-relativistic, spin1/2 particles propagating in Kerr spacetime. The two-component Weyl equation with general relativistic corrections is obtained in the case of a slowly rotating, weak gravitational field. Our approach is also applied t...

By the recursion operator of the Kaup–Newell hierarchy we construct the relativistic derivative NLS (RDNLS) equation and the corresponding Lax pair. In the nonrelativistic limit c→∞ it reduces to DNLS equation and preserves integrability at any order of relativistic corrections. The compact explicit representation of the linear problem for this equation becomes possible due to notions of the q-...