Range corrections in Proton Halo Nuclei

Abstract

We analyze the effects of finite-range corrections in halo effective field theory for S-wave proton halo nuclei. We calculate the charge radius to next-to-leading order and the astrophysical S-factor for low-energy proton capture to fifth order in the low-energy expansion. As an application, we confront our results with experimental data for the S-factor for proton capture on Oxygen-16 into the excited $1/2^{+}$ state of Fluorine-17. Our low-energy theory is characterized by a systematic low-energy expansion, which can be used to quantify an energy-dependent model error to be utilized in data fitting. Finally, we show that the existence of proton halos is suppressed by the need for two fine tunings in the underlying theory.

arXiv comment30pages, 12 figures

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Cited by in corpus (11)

• Nuclear effective field theory: status and perspectives
• Effective field theory description of halo nuclei
• From bound states to the continuum
• Low-energy bound states, resonances, and scattering of light ions
• Models, measurements, and effective field theory: proton capture on Beryllium-7 at next-to-leading order
• Universal physics of bound states of a few charged particles
• $\beta$-delayed proton emission from ${}^{11}$Be in effective field theory
• Extrapolation of scattering data to the negative-energy region. Application to the $p{-}^{16}$O system
• Corrections to nucleon capture cross sections computed in truncated Hilbert spaces
• Finite-Size Effects in Heavy Halo Nuclei from Effective Field Theory
• Weak decay of halo nuclei