Description of 7Be and 7Li within the Gamow Shell Model
Abstract
7Li and 7Be play an important role in Big Bang nucleosynthesis and nuclear astrophysics. The 3H(4He,γ)7Li radiative capture reaction is crucial for the determination of the primordial 7Li abundance. In nuclear astrophysics, lithium isotopes have attracted a great interest because of the puzzled abundance of 6Li and 7Li. Purpose: In this work we study spectra of 7Be, 7Li and elastic scattering cross sections 4He(3He, 3He), 4He(3H, 3H) within the Gamow shell model (GSM) in the coupled-channel formulation (GSM-CC). The evolution of channel amplitudes and spectroscopic factors in the vicinity of the channel threshold is studied for selected states. Methods: GSM provides the open quantum system formulation of nuclear shell model. In the representation of GSM-CC, GSM provides the unified theory of nuclear structure and reactions which is suited for the study of resonances in 7Be, 7Li and elastic scattering cross-sections involving 3H and 3He projectiles. Results: The GSM-CC in multi-mass partition formulation applied to a translationally invariant Hamiltonian with an effective finite-range two-body interaction reproduce well the spectra of 7Be, 7Li and elastic scattering reactions: 4He(3He, 3He), 4He(3H, 3H). Detailed analysis of the dependence of reaction channel amplitudes and spectroscopic factors on the distance from the particle decay threshold allowed to demonstrate the alignment of the wave function in the vicinity of the decay threshold. This analysis also demonstrates the appearance of clustering in the GSM-CC wave function in the vicinity of the cluster decay threshold.
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