Many-channel microscopic cluster model of $^{8}$Be. I. Formation of high-energy resonance states

Abstract

The nature and structure of high-energy resonance states in $^{8}$Be, located just below and above the $p+^{7}$Li threshold, are investigated in detail. A microscopic many-cluster and many-channel model is employed to study the formation of these resonances. This model includes three distinct three-cluster configurations: $^{4}$He+$^{3}$H+$p$, $^{4}$He+$^{3}$He+$n$, and $^{4}$He+$d$+$d$, enabling a comprehensive treatment of all major binary decay channels of $^{8}$Be, namely $^{4}$He+$^{4}$He, $p+^{7}$Li, $n+^{7}$Be, and $d+^{6}$Li. The primary focus of our analysis is the structure and dominant decay channels of the twin $1^{+}$, $2^{+}$, $3^{+}$, and $4^{+}$ resonance states. Additionally, we propose and implement a model to clarify how the $2^{+}$ resonance states lying below the $p+^{7}$Li threshold are formed. We demonstrate that these resonances are Feshbach-type states arising due to coupling of the open $^{4}$He+$^{4}$He channel with the closed channels $p+^{7}$Li, $n+^{7}$Be, and $d+^{6}$Li at these energies. Overall, the present approach provides a realistic description of the experimentally observed resonance spectrum near the $^7$Li+$p$ decay threshold, including negative-parity states $1^-$ and $2^-$. Our results are consistent with other microscopic calculations but offer more detailed insight into the internal structure and decay pathways of these resonances.