Marrying ab initio calculations and Halo EFT: the case of ${}^7\mathrm{Be}+p\to {}^8\mathrm{B}+\gamma$

Abstract

We report a leading-order (LO) calculation of ${}^7\mathrm{Be}(p,\gamma {)}^8\mathrm{B}$ in a low-energy effective field theory. ${}^8\mathrm{B}$ is treated as a shallow proton${+}^7\mathrm{Be}$ core and proton${+}^7{\mathrm{Be}}^{\ast }$ (core excitation) $p$-wave bound state. The couplings are fixed using measured binding energies and proton-${}^7\mathrm{Be}$ $s$-wave scattering lengths, together with ${}^8\mathrm{B}$ asymptotic normalization coefficients from ab initio calculations. We obtain a zero-energy $S$-factor of $18.2\pm 1.2(\mathrm{ANC}\mathrm{only})$ eV b. Given that this is a LO result it is consistent with the recommended value $S(0)=20.8\pm 1.6$ eV b. Our computed $S(E)$ compares favorably with experimental data on ${}^7\mathrm{Be}(p,\gamma {)}^8\mathrm{B}$ for $E<0.4$ MeV. We emphasize the important role of proton-${}^7\mathrm{Be}$ scattering parameters in determining the energy dependence of $S(E)$, and demonstrate that their present uncertainties significantly limit attempts to extrapolate these data to stellar energies.

5 pages, 2 figures, and 3 tables

References in corpus (8)

• alpha-alpha Scattering in Halo Effective Field Theory
• Universal properties and structure of halo nuclei
• Asymptotic normalization coefficients from ab initio calculations
• Radiative Neutron Capture on Lithium-7
• Ab initio many-body calculations of nucleon-4He scattering with three-nucleon forces
• Effective field theory for proton halo nuclei
• Causality constraints for charged particles
• Marrying {\it ab initio} calculations and Halo-EFT: the case of ${}^7\mathrm{Li}+n\to {}^8\mathrm{Li}+\gamma$

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