The differential cross sections for the neutrino-induced weak charged current production of strange particles in the threshold energy region are presented. The general representation of the weak hadronic current is newly developed in terms of eighteen unknown invariant amplitudes to parametrize the hadron vertex. The Born term approximation is used for the numerical calculations in the framework of the Cabibbo theory and SU(3) symmetry. For unpolarized octet baryons four processes are investigated, whereas in the case of polarized baryons only one process is chosen to study the sensitivity of the differential cross section to the various polarizations of the initial state nucleon and the final state hyperon.

We present the investigation of the neutrino-induced strangeness associated production on nuclei in the relativistic plane wave impulse approximation (RPWIA) framework at the intermediate neutrino energies. In this study, the elementary hadronic weak amplitudes are embedded inside the nuclear medium for the description of the exclusive channels of neutrino-nucleus interactions. These amplitudes are extracted using a modeldependent evaluation of the hadronic vertex using the Born term approximation in which the application of the Cabibbo V-A theory and SU(3) symmetry are assumed to be valid. The nuclear effects are included via the bound state wavefunctions of the nucleon obtained from the relativistic mean field (RMF) models. Two kinematics settings are used to examine various distributions of the differential cross section in the rest frame of the target nuclei. The numerical results are obtained for the neutrino-induced chargedcurrent (CC) K + Λ-production on bound neutrons in 1s 1/2 and 1p 3/2 orbitals of 12 C.The angular distributions are forward peaked under both kinematic settings, whereas under the quasifree setting the cross sections tend mimic the missing momentum distribution of the bound nucleon inside the nucleus.

In this paper, we present a fully relativistic description of charged current (CC) neutrino-hyperon scattering process near and above the threshold energy. The main focuses were the evaluations of the invariant matrix element (IME) and differential cross section (DCS) within the framework of the Glashow-Weinberg-Salam (GWS) model. By employing the standard model the exact expression of leptonic tensor in semi-leptonic electroweak interactions was determined. However, the hadronic tensor involves a vertex which is not fully understood by the electroweak theory since hyperons are composite particles. As such, hadronic vertex was parameterized by three unknown form factors to account for the effects of strong interaction. Then the unknown form factors were determined in the framework of the Cabibbo V-A theory and SU(3) symmetry. The angular distributions show that the DCS attains its peak near the forward scattering angles, whereas the energy distributions of the DCS indicate that dominate contribution comes from incident energies near the threshold energy. Based on our results, the quasielastic CC process under study can be considered as an intermediate energy phenomena as its DCS tends to vanish in high energy region.

Muon has properties very similar to an electron. For this reason, it is possible to replace one of the electrons in an atom by a muon to form a muonic atom. The main purpose of this study is to calculate the energy eigenvalues and to study the probability density of muonic hydrogen with point like nucleus. Numerical results have generated using Matlab software programming language. The reduced mass of muon has been used in order to correct the error incurred by the assumption that the nucleus of muonic hydrogen is point-like which in turn gives it an infinite mass. The energy eigenvalues for different states have been calculated using the rest and reduced masses of muon, and the result have been tabulated. According to these results, the relativistic quantum description is not responsible for the lamb shift. The Probability density shows that muon is much more likely to be found near the nucleus of hydrogen atom for the ground state when compared with the excited states.