Abstract

We study the ^99Be ground-state energy with non-local \alpha nαn and \alpha \alphaαα potentials derived from Cluster Effective Field Theory. The short-distance dependence of the interaction is regulated with a momentum cutoff. The potential parameters are fitted to reproduce the scattering length and effective range. We implement such potential models in a Non-Symmetrized Hyperspherical Harmonics (NSHH) code in momentum space. In addition we calculate ground-state energies of various alpha nuclei. Work is in progress on a calculation of the photodisintegration of ^99Be with the Lorentz Integral Transform (LIT) method.

Highlights

  • The idea of alpha clustering has a long history, that goes back to the 1930s [1]

  • With the adopted power counting, in the αn interaction case, the scattering length a1 and the effective range r1 contribute to the leading order (LO), there are no contributions at the next-to-leading order (NLO) and the shape parameter P1 is next-tonext-to leading order (N2LO)

  • The NonSymmetrized Hyperspherical Harmonics (NSHH) approach is based on the use of the hyperspherical harmonics basis without previous symmetrization [16,17,18,19], where the proper symmetry is selected by means of the Casimir operator of the group of permutations of A objects

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Summary

Introduction

The idea of alpha clustering has a long history, that goes back to the 1930s [1]. By observing alpha decay from nuclei, physicists speculated that they are made up of alpha particles. Some of the recent experimental studies strongly support the alpha cluster structure in 56Ni [2] and in the ground state of 40Ca [3]. In this context our purpose is to describe these cluster nuclei and some reactions of astrophysical interest, specializing in low energies, where clusters of nucleons behave coherently. The cluster approach is not new for the study of 9Be. The same technique of clustering was employed by Efros et al in [4], where this nucleus is described as an ααn system and a calculation of the ground state has been made using phenomenological local potentials.

Cluster Effective Field Theory
The Potential
Results
Conclusions
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