# Gamow shell model description of $^4$He($d$,$d$) elastic scattering   reactions

**Authors:** A. Mercenne, N. Michel, M. Ploszajczak

arXiv: 1905.09485 · 2019-05-24

## TL;DR

This paper extends the Gamow shell model to include reaction channels with composite particles, enabling unified structure and reaction studies of weakly bound nuclei, demonstrated through 6Li and deuteron-alpha scattering.

## Contribution

The authors develop a generalized Gamow shell model in coupled-channel form to incorporate composite particle reaction channels, bridging structure and reactions in weakly bound nuclei.

## Key findings

- Successfully described 6Li low-energy spectrum and asymptotic normalization coefficients.
- Accurately modeled deuteron-alpha elastic scattering cross sections.
- Unified approach applicable to heavy nuclei's low-energy properties.

## Abstract

Structure of weakly bound/unbound light nuclei is often related to the low-energy decay channels involving composite particles like deuteron or ${\alpha}$-particle. These channels are essential to understand the appearance of light nuclei in the Big Bang nucleosynthesis or the helium fusion. We generalize the Gamow shell model (GSM) in coupled-channel (GSM-CC) representation to include reaction channels with the composite particles. In the core + valence particle formulation, this unified microscopic approach for structure and reactions involving weakly bound/unbound nuclei can be also applied to study low-energy properties of heavy nuclei. As the first application of this generalized GSM-CC approach, we describe the structure of 6Li and deuteron - ${\alpha}$-particle elastic scattering using the same effective Furutani-Horiuchi-Tamagaki (FHT) type nucleon-nucleon interaction. Asymptotically, the deuteron structure including its continuum is described using the N3LO chiral force. The bulk of the data, including low-energy spectrum of 6Li, asymptotic normalization coefficients, and angular differential cross sections are satisfactorily described.

## Full text

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## Figures

8 figures with captions in the complete paper: https://tomesphere.com/paper/1905.09485/full.md

## References

61 references — full list in the complete paper: https://tomesphere.com/paper/1905.09485/full.md

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Source: https://tomesphere.com/paper/1905.09485