Proton decays from -unbound states in 22Mg and the 18Ne(, p0)21Na cross section

Background: Type I x-ray bursts provide an opportunity to constrain the equation of state of nuclear matter. Observations of the light curves from these bursts allow the compactness of neutron stars to be constrained. However, the behavior of these light curves also depends on a number of important thermonuclear reaction rates. One of these reactions, 18Ne(alpha, p) 21Na, has been extensively studied but there is some tension between the rate calculated from spectroscopic information of states above the alpha-particle threshold in 22Mg , the rate determined from time-reversed measurements of the cross section.Purpose: The time-reversed measurement of the cross section is only sensitive to the ground state-to-ground state contribution. Therefore, corrections must be made to this reaction rate to account for the contribution of branches to excited states in 21Na. At present this is done with statistical models which may not be applicable in such light nuclei. Basing the correction of the time-reversed cross section on experimental data is much more robust.Method: The 24Mg(p, t)22Mg reaction was used to populate states in 22Mg. The reaction products from the reaction were analysed by the K600 magnetic spectrometer at iThemba Laboratories, South Africa. Protons decaying from excited states of 22Mg (Sp = 5502 keV) were detected in an array of five double-sided silicon strip detectors placed at backward angles. The branching ratio for proton decays to the ground state of 21Na, Bp0, was determined by comparing the inclusive (triton-only focal-plane) and exclusive (focal-plane gated on a specific proton decay) spectra.Results: The experimental proton decay branching ratio to the ground state of 21Na from excited states in 22Mg were found to be a factor of about two smaller than the ratios predicted by Hauser-Feshbach models. Using the experimental branchings for a recalculation of the 18Ne(alpha, p0)21Na cross section leads to a con-siderably improved agreement with previous reaction data. Updated information on the disputed number of levels around Ex approximate to 9 MeV and on the possible 18Ne(alpha, 2p) 20Ne cross section at astrophysical energies is also reported.Conclusions: The proton decay branching of excited states in 22Mg to the ground state of 21Na have been measured using the K600 Q2D spectrometer at iThemba Laboratories coupled to the double-sided silicon-strip detector array CAKE. Using these experimental data, the modeling of the 18Ne(alpha, p0) 21Na cross section has been improved. The result is not only in better agreement with previous cross section data but also consistent with a recent direct measurement of 18Ne(alpha, p) 21Na. This strengthens the case for the application of statistical models for these reactions.