tensor interaction makes the energy splitting of the negative parity states of $^4$He consistent with experiments. No such splitting is however reproduced with the effective interaction.'
author:
- 'S. Aoyama, K. Arai, Y. Suzuki, P. Descouvemont, D. Baye'
title: ' Four-nucleon scattering with a correlated Gaussian basis method'
---

Introduction {#sect.1}
============

The microscopic cluster model is one of the successful models to study the structure and reactions of light nuclei [@tang77]. In the conventional cluster model, one assumes that the nucleus is composed of several simple clusters with $A \le 4$ which are described by (0$s$) harmonic-oscillator shell model functions, and use an effective $N$-$N$ interaction which is appropriate for such a model space. However, it is well known that the ground states of the typical clusters $d$, $t$, $h$ and $^4$He have non-negligible admixtures of $D$-wave component due to the tensor interaction. Since the conventional cluster model does not directly treat the $D$-wave component, the strong attraction of the nucleon-nucleon interaction due to the tensor term is assumed to be renormalized into the central term of the effective interaction.

Recently, $ab$-$initio$ structure calculations [@benchmark] have been successfully developed: Stochastic Variational Method (SVM) [@varga94; @varga97; @book; @vs95], Global Vector 