English

Two-proton capture on the $^{68}$Se nucleus with a new self-consistent cluster model

Nuclear Theory 2018-05-23 v1 Solar and Stellar Astrophysics

Abstract

We investigate the two-proton capture reaction of the prominent rapid proton capture waiting point nucleus, 68^{68}Se, that produces the borromean nucleus 70^{70}Kr (68^{68}Se+p+p+p+p). We apply a recently formulated general model where the core nucleus, 68^{68}Se, is treated in the mean-field approximation and the three-body problem of the two valence protons and the core is solved exactly. The same Skyrme interaction is used to find core-nucleon and core valence-proton interactions. We calculate E2E2 electromagnetic two-proton dissociation and capture cross sections, and derive the temperature dependent capture rates. We vary the unknown 2+2^+ resonance energy without changing any of the structures computed self-consistently for both core and valence particles. We find rates increasing quickly with temperature below 242-4~GK after which we find rates varying by less than a factor of two independent of 2+2^+ resonance energy. The capture mechanism is sequential through the f5/2f_{5/2} proton-core resonance, but the continuum background contributes significantly.

Cite

@article{arxiv.1709.01270,
  title  = {Two-proton capture on the $^{68}$Se nucleus with a new self-consistent cluster model},
  author = {D. Hove and E. Garrido and A. S. Jensen and P. Sarriguren and H. O. U. Fynbo and D. V. Fedorov and N. T. Zinner},
  journal= {arXiv preprint arXiv:1709.01270},
  year   = {2018}
}

Comments

7 pages, 4 figures

R2 v1 2026-06-22T21:33:14.432Z