# Asymmetry for tensor $t_{2j}$ and vector $t_{1i}$ polarizations with taking into account the deuteron wave function in coordinate space

## TL;DR

This paper uses deuteron wave functions and various nucleon-nucleon potentials to theoretically calculate and analyze tensor and vector polarization asymmetries across a range of momenta and angles, with implications for scattering processes.

## Contribution

It provides detailed calculations of deuteron polarization asymmetries using realistic wave functions and potentials, extending understanding of angular-momentum dependence in scattering experiments.

## Key findings

- Calculated asymmetries for momenta 0-7 fm$^{-1}$
- Analyzed polarization dependencies on scattering angles
- Compared results across different nucleon-nucleon potentials

## Abstract

The analytic forms of deuteron wave function in coordinate space were applied for theoretical calculations of full set asymmetries of tensor $t_{2j}$ and vector $t_{1i}$ polarizations. Nucleon-nucleon realistic phenomenological potentials of Nijmegen group (Nijm1, Nijm2, Nijm93, Reid93) and Argonne group (Argonne v18) as well as other widely used and popular potentials (OBEPC, MT, Paris) are used for numerical calculations. The angular asymmetry is calculated in the range of momentums 0-7 fm$^{ - 1}$. The values of the asymmetry $t_{ij,}$ by polarization type and with each other, are analysed. This is the angular-momentum dependence of values vector $t_{1i} (p,\theta_e )$ and tensor $t_{2i} (p,\theta_e )$ polarizations in 3D format at momentums 0-7 fm$^{-1}$ and scattering angles 1-180 degrees were calculated and compared for Reid93 potential. The perspectives of further application of the obtained results for calculating the values of the cross-sections, asymmetries and other characteristics of processes with the participation of a deuteron are discussed.