# Gamow shell model description of radiative capture reactions $^6$Li$(p,\gamma)$^7Be and ^6Li(n,\gamma)$^7$Li

* Corresponding author
Abstract : According to standard stellar evolution, lithium abundance is believed to be a useful indicator of the stellar age. However, many evolved stars like red giants show huge fluctuations around expected theoretical abundances that are not yet fully understood. The better knowledge of nuclear reactions that contribute to the creation and destruction of lithium can help to solve this puzzle. In this work we apply the Gamow shell model (GSM) formulated in the coupled-channel representation (GSM-CC) to investigate the mirror radiative capture reactions $^6$Li$(p,\gamma)$^7Be and ^6Li(n,\gamma)$^7$Li. The cross-sections are calculated using a translationally invariant Hamiltonian with the finite-range interaction which is adjusted to reproduce spectra, binding energies and one-nucleon separation energies in $^{6-7}$Li, $^7$Be. All relevant $E1$, $M1$, and $E2$ transitions from the initial continuum states to the final bound states $J={3/2}_1^-$ and $J={1/2}^-$ of $^7$Li and $^7$Be are included. We demonstrate that the $s$-wave radiative capture of proton (neutron) to the first excited state $J^{\pi}=1/2_1^+$ of $^7$Be ($^7$Li) is crucial and increases the total astrophysical $S$-factor by about 40 \%.
Document type :
Journal articles

http://hal.in2p3.fr/in2p3-01261944
Contributor : Michel Lion <>
Submitted on : Tuesday, January 26, 2016 - 8:23:49 AM
Last modification on : Wednesday, August 14, 2019 - 2:54:02 PM

### Citation

G.X. Dong, N. Michel, K. Fossez, M. Ploszajczak, Y. Jaganathen, et al.. Gamow shell model description of radiative capture reactions $^6$Li$(p,\gamma)$^7Be and ^6Li(n,\gamma)$^7$Li. Journal of Physics G Nuclear Physics, Institute of Physics (IOP), 2017, 44, pp.045201. ⟨10.1088/1361-6471/aa5f24⟩. ⟨in2p3-01261944⟩

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