Fusion and reactions of 𝛼 + 8Be in the Hoyle resonance and associated resonances region

Lee, Teck-Ghee; Bayrak, ORHAN; Wong, Cheuk-Yin

doi:10.1103/k86z-d4yr

Fusion and reactions of 𝛼 + 8Be in the Hoyle resonance and associated resonances region

Lee T., Bayrak O., Wong C.

PHYSICAL REVIEW C - NUCLEAR PHYSICS, cilt.1, sa.064602, ss.1-21, 2026 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 1 Sayı: 064602
Basım Tarihi: 2026
Doi Numarası: 10.1103/k86z-d4yr
Dergi Adı: PHYSICAL REVIEW C - NUCLEAR PHYSICS
Derginin Tarandığı İndeksler: Scopus, Science Citation Index Expanded (SCI-EXPANDED), Chemical Abstracts Core, INSPEC
Sayfa Sayıları: ss.1-21
Akdeniz Üniversitesi Adresli: Evet

Özet

The fusion of $𝛼$ and $8 B e$ to produce a $12 C$ nucleus is a crucial process in nucleosynthesis. In the laboratory, this process can only be studied theoretically because a $8 B e$ target or projectile cannot be prepared experimentally. We use the potential scattering theory in the coupled-channel formalism to study such a process in terms of the collision between the $𝛼$ particle on a deformed $8 B e$ nucleus, both on resonance and off resonance in the Hoyle resonance and associated resonances region. The experimental $12 C$ energy levels and widths constrain the nuclear potential to suggest the need to include a parity-dependent surface potential component that is more attractive for even- $𝐿$ positive-parity partial waves than for odd- $𝐿$ negative-parity partial waves. As a consequence, the radial dependence of the total potentials for the set of { $0 +$ , $2 +$ , $4 +$ } resonances of $12 C$ exhibit a double-hump behavior, possessing two local energy minima and a doublet of each of the $12 C$ { $0 +$ , $2 +$ , $4 +$ } resonances in the Hoyle and associated resonances region. We examine the approximate agreement of the theoretical results with experiment and suggest the search for the as-yet unobserved lower-energy $2 + 2$ and $4 + 1$ resonances to test the double-hump potential description. In addition, for practical astrophysical applications, we evaluate and estimate the astrophysical $𝑆 (𝐸 c . m .)$ factor for the $𝛼 + 8 B e$ $\to$ $12 C (0 + *)$ $\to$ $12 C (2 + 1)$ $+$ $𝛾$ reaction for $𝐸 c . m .$ $<$ 1.0 MeV.