# Weak strangeness changing semi-leptonic process

#### Abstract

We have obtained total and differential cross sections for the strangeness changing charged current weak reaction ν_{ L} + *p* → Λ(Σ^{0}) + * L*^{+} using standard dipole form factors, where * L* stands for an electron, muon, or tau lepton, and *L*^{ +} stands for an positron, anti-muon or anti-tau lepton. We calculated these reactions from near threshold few hundred MeV to 8 GeV of incoming neutrino energy and obtained the contributions of the various form factors to the total and differential cross sections. We did this in support of possible experiments which might be carried out by the MINERνA collaboration at Fermilab. The calculation is phenomenologically based and makes use of SU(3) relations to obtain the standard vector current form factors and data from Λ beta decay to obtain the axial current form factor. We also made estimates for the contributions of the pseudoscalar form factor and for the *F _{ E}* and

*F*form factors to the total and differential cross sections. We discuss our results and consider under what circumstances we might extract the various form factors. In particular we wish to test the SU(3) assumptions made in determining all the form factors over a range of

_{S}*q*

^{2}values. Recently new form factors were obtained from recoil proton measurements in electron-proton electromagnetic scattering at Jefferson Lab. We thus calculated the contributions of the individual form factors to the total and differential cross sections for this new set of form factors. We found that the differential and total cross sections for Λ production change only slightly between the two sets of form factors but that the differential and total cross sections change substantially for Σ

^{ 0}production. We discuss the possibility of distinguishing between the two cases for the experiments planned by the MINERνA Collaboration. We also undertook the calculation for the inverse reaction

*e*

^{ −}+

*p*→ Λ + ν

_{e}for a polarized outgoing Λ which might be performed at Jefferson Lab, and provided additional analysis of the contributions of the individual form factors to the differential cross sections for this case. ^

#### Subject Area

Physics, Nuclear|Physics, Elementary Particles and High Energy

#### Recommended Citation

Lingling Wen,
"Weak strangeness changing semi-leptonic process"
(January 1, 2009).
*ProQuest ETD Collection for FIU.*
Paper AAI3395788.

http://digitalcommons.fiu.edu/dissertations/AAI3395788