Sasabindu Sarkar

Abstract: In this paper we evaluate some higher-order terms in the eikonal expansion of the $T$ matrix for potential scattering. We calculate eikonal correction terms which are of second order in potential strength ${V}_{0}$ through seventh order in inverse momentum ${K}^{\ensuremath{-}1}$, which leads us to conjecture two plausible formulas for general eikonal correction terms of $O({K}^{\ensuremath{-}2n}{{V}_{0}}^{2})$ and of $O({K}^{\ensuremath{-}2n\ensuremath{-}1}{{V}_{0}}^{2})$. This may enable us to obtain an eikonal expansion of the second Born amplitude for any type of potential. We further evaluate eikonal correction terms which are of third order in potential strength and fourth and fifth order in ${K}^{\ensuremath{-}}$. With the help of eikonal corrections evaluated in this paper, a general formula based on a WKB phase function, and a relation existing between the amplitude term and the eikonal phase of the impact-parameter representation of the scattering $T$ matrix, we are able to determine the $T$ matrix completely through fourth order in inverse momentum. We may also note that the formula for the eikonal correction term of $O({K}^{\ensuremath{-}2n\ensuremath{-}1}{{V}_{0}}^{2})$ when generalized in a suitable manner surprisingly yields the expression for the explicitly evaluated eikonal correction term of $O({K}^{\ensuremath{-}5}{{V}_{0}}^{3})$. It is further shown in this paper that the previously mentioned conjectured formula for the general eikonal phase correction term of $O({K}^{\ensuremath{-}2n\ensuremath{-}1}{{V}_{0}}^{2})$ is somewhat supported by the form of the corresponding correction term to the usual WKB phase-shift result. All the higher-order eikonal correction terms evaluated in this paper vanish for the Coulomb interaction.

TL;DR: In this paper, the bulk properties of nuclear matter are studied by considering a chirally invariant lagrangian which contains an interaction term involving scalar and vector mesons, of the form (apart from a numerical factor) used by Boguta.

TL;DR: The general expression for the laser-assisted first-Born-approximation scattering amplitude for l-photon transfer is cast into a form which gives the probability for the case in which l/sup a/ photons are absorbed or emitted by the bound atomic electron and the remaining photons by the free projectile electron.

TL;DR: In this paper, the authors calculate the differential cross-section and the circular polarization of the bremsstrahlung emitted in the high-energy collision of polarized electrons with protons taking into account the effect of the anomalous magnetic moment, the recoil momentum and the two form factors of the proton.

TL;DR: In this article, the properties of asymmetric nuclear matter at zero and finite temperature in a wide range of density and asymmetry parameter using recently pro-posed generalized hybrid derivative coupling model have been explored.