Realistic effective interactions for halo nuclei. Kuo, T. T., Müther, H., & Azimi-Nili, K. A. *Nuclear Physics A*, 606(1-2):15–26, aug, 1996. Paper doi abstract bibtex We study halo nuclei using a two-frequency shell-model approach employing wave functions of two different oscillator constants ℏ$\omega$in and ℏ$\omega$out, the former for the inner orbits and the latter for the halo (outer) orbits. An initial application has been made for the halo nuclei 6He and 6Li, with OS1/2 taken as the inner and (Op3/2, Op1/2) as the halo orbits. Starting from the Paris NN interaction, we have derived a G-matrix folded-diagram effective interaction for this two-frequency model space, using an essentially exact treatment for the Pauli exclusion operator for the G-matrix. While keeping ℏ$\omega$in fixed, we have performed calculations with different choices for ℏ$\omega$out, treating it as a variation parameter. For ℏ$\omega$in = 19.7 MeV and ℏ$\omega$out = 8.2 MeV, our calculated valence energies for 6He and 6Li are -2.77 and -3.55 MeV, respectively, both in good agreement with experiments. The importance of certain three-body-force diagrams is discussed.

@article{Kuo1996,
abstract = {We study halo nuclei using a two-frequency shell-model approach employing wave functions of two different oscillator constants ℏ$\omega$in and ℏ$\omega$out, the former for the inner orbits and the latter for the halo (outer) orbits. An initial application has been made for the halo nuclei 6He and 6Li, with OS1/2 taken as the inner and (Op3/2, Op1/2) as the halo orbits. Starting from the Paris NN interaction, we have derived a G-matrix folded-diagram effective interaction for this two-frequency model space, using an essentially exact treatment for the Pauli exclusion operator for the G-matrix. While keeping ℏ$\omega$in fixed, we have performed calculations with different choices for ℏ$\omega$out, treating it as a variation parameter. For ℏ$\omega$in = 19.7 MeV and ℏ$\omega$out = 8.2 MeV, our calculated valence energies for 6He and 6Li are -2.77 and -3.55 MeV, respectively, both in good agreement with experiments. The importance of certain three-body-force diagrams is discussed.},
author = {Kuo, T. T.S. and M{\"{u}}ther, H. and Azimi-Nili, K. Amir},
doi = {10.1016/0375-9474(96)00205-9},
issn = {03759474},
journal = {Nuclear Physics A},
month = {aug},
number = {1-2},
pages = {15--26},
title = {{Realistic effective interactions for halo nuclei}},
url = {https://linkinghub.elsevier.com/retrieve/pii/0375947496002059},
volume = {606},
year = {1996}
}

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