Effects of the higher partial waves and relativistic terms on the accuracy of the calculation of the hypertriton electroproduction

TL;DR

This study evaluates the impact of higher partial waves and relativistic terms on hypertriton electroproduction calculations, showing that simplified models with minimal partial waves and relativistic terms can still achieve high accuracy with significantly reduced computational time.

Contribution

The paper demonstrates that using only the three lowest partial waves and including relativistic terms yields accurate hypertriton electroproduction results, optimizing computational efficiency.

Findings

Using three lowest partial waves yields ~4% deviation from full calculation.

Omitting relativistic terms causes large deviations in results.

Computational time reduced by a factor of 60 with simplified model.

Abstract

We have investigated the accuracies of calculations made by omitting the higher partial waves of nuclear wave functions and the elementary relativistic terms in the hypertriton electroproduction. We found that an accurate calculation would still be obtained if we used at least three lowest partial waves with isospin T = 0. Furthermore, we found that the omission of the relativistic terms in the elementary process amplitude could lead to a large deviation from the full calculation. We also present the cpu-times required to calculate the cross sections. For future consideration the use of these lowest partial waves is suggested, since the calculated cross section deviates only about 0.17 nb/sr (approximately 4%), at most, from the full calculation, whereas the cpu-time is reduced by a factor of 60. Comparison of our result with the available experimental data supports these findings.