# Production Spectra of $^3$He($\pi$, $K$) Reactions with Continuum Discretized Coupled Channels

## TL;DR

This paper presents a theoretical study of $ ext{He}^3( ext{pi},K)$ reactions using the continuum-discretized coupled-channel method to analyze $ ext{Lambda}$ production spectra and cross sections.

## Contribution

It introduces a novel application of the continuum-discretized coupled-channel method to $ ext{He}^3( ext{pi},K)$ reactions for $ ext{Lambda}$ hypernucleus production analysis.

## Key findings

- Calculated $ ext{Lambda}$ production spectra at specific pion momenta.
- Discussed the production cross section of $ ext{He}_ ext{Lambda}$ ground state.
- Demonstrated the effectiveness of the continuum-discretized coupled-channel approach.

## Abstract

We investigate theoretically $\Lambda$ production spectra of $^3$He($\pi$, $K$) reactions at $p_\pi=$ 1.05--1.20 GeV/$c$ in the distorted-wave impulse approximation, using the continuum-discretized coupled-channel method. The production cross section of a $^3_\Lambda$H(1/2$^+$) ground state is also discussed.