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PreprintCC BY 4.0arXiv

Structure of the 8B and 8Li nuclei and the astrophysical S17(0)-factor of the 7Be(p,γ)8B direct capture process within a three-body model

  • E. M. Tursunov
  • D. S. Toshova
  • S. A. Turakulov
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Abstract

The structure of the ground (2+) and excited (1+) bound states of the 8B and 8Li nuclei is studied within the framework of the α+3He(3H)+p(n) three-body potential cluster model based on the hyperspherical Lagrange-mesh method. The two-body realistic potentials have been applied from the literature. Convergent theoretical estimates for the three-body binding energy and matter radius have been obtained with the maximal hypermomentum Kmax=22 and 28 for the ground and excited 1+ states, respectively. The ANC value of the virtual transition of the 8B nucleus is estimated self-consistently by matching the overlap integral of the 8B three-body and the 7Be two-body wave functions with it's asymptotics. The obtained values are $0.211fm^{-1/2}$ and $0.739fm^{-1/2}$ in the spin 1 and spin 2 channels, respectively. For the ANC values of the 8Li nucleus the estimates $0.220fm^{-1/2}$ and $0.774fm^{-1/2}$ are extracted. The ratio C2(8 B)/C2(8 Li)=0.912 implies a breaking of the mirror symmetry of the strong nuclear forces of order 27\% due to the Coulomb interaction and the dynamical three-body effects. For the S17(0) -factor an estimate 22.492±0.014 eV b was obtained based on the asymptotic theory developed by D. Baye [Phys. Rev. C {\bf 62},065803 (2000)]. The spin 2 channel contributes with S(2)17(0)=20.838 ± 0.014 eV b, while the spin 1 channel yields S(1)17(0)=1.654 ± 0.003 eV b. These results for S17(0) are in a good agreement with the estimate 20.8±0.7(th)±1.4(exp) eV b of the SF II, but larger than the recommended value 20.5±0.70 eV b of the SF III. At the same time, our estimate is very close to the value 22.4 eV b used in the most successful Solar Model BAR2M [W.~Yang and Z.~Tian, AJ {\bf 970} (2024), 38].

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Cite

BibTeXRIS
BibTeX
@misc{tursunov2026structure,
  title = {{Structure of the $^8$B and $^8$Li nuclei and the astrophysical $S_17(0)$-factor of the $^7$Be($p,γ$)$^8$B direct capture process within a three-body model}},
  author = {E. M. Tursunov and D. S. Toshova and S. A. Turakulov},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.02826},
  eprint = {2605.02826},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.02826},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Structure of the ^8B and ^8Li nuclei and the astrophysical S_17(0)-factor of the ^7Be(p,γ)^8B direct capture process within a three-body model
AU  - E. M. Tursunov
AU  - D. S. Toshova
AU  - S. A. Turakulov
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2605.02826
UR  - https://arxiv.org/abs/2605.02826
AB  - The structure of the ground (2^+) and excited (1^+) bound states of the ^8B and ^8Li nuclei is studied within the framework of the α+^3He(^3H)+p(n) three-body potential cluster model based on the hyperspherical Lagrange-mesh method. The two-body realistic potentials have been applied from the literature. Convergent theoretical estimates for the three-body binding energy and matter radius have been obtained with the maximal hypermomentum K_max=22 and 28 for the ground and excited 1^+ states, respectively. The ANC value of the virtual transition of the ^8B nucleus is estimated self-consistently by matching the overlap integral of the ^8B three-body and the ^7Be two-body wave functions with it's asymptotics. The obtained values are $0.211fm^{-1/2}$ and $0.739fm^{-1/2}$ in the spin 1 and spin 2 channels, respectively. For the ANC values of the ^8Li nucleus the estimates $0.220fm^{-1/2}$ and $0.774fm^{-1/2}$ are extracted. The ratio C^2(^8 B)/C^2(^8 Li)=0.912 implies a breaking of the mirror symmetry of the strong nuclear forces of order 27\% due to the Coulomb interaction and the dynamical three-body effects. For the S_17(0) -factor an estimate 22.492±0.014 eV b was obtained based on the asymptotic theory developed by D. Baye [Phys. Rev. C {\bf 62},065803 (2000)]. The spin 2 channel contributes with S^(2)_17(0)=20.838 ± 0.014 eV b, while the spin 1 channel yields S^(1)_17(0)=1.654 ± 0.003 eV b. These results for S_17(0) are in a good agreement with the estimate 20.8±0.7(th)±1.4(exp) eV b of the SF II, but larger than the recommended value 20.5±0.70 eV b of the SF III. At the same time, our estimate is very close to the value 22.4 eV b used in the most successful Solar Model BAR2M [W.~Yang and Z.~Tian, AJ {\bf 970} (2024), 38].
ER  -