Determination of the direct capture contribution for 13 N ( p,γ ) 14 O from the 14 O → 13 N +p asymptotic normalization coefficient

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Nucleosynthesis In Novae, Supernovae, And Other Explosive Environments, Transfer Reactions, Elastic Scattering

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13 N ( p,γ ) 14 O is one of the key reactions which trigger the onset of the hot CNO cycle. This transition occurs when the proton capture rate on 13 N is faster, due to increasing stellar temperature ( ⩾ 108 K ) , than the 13 N β -decay rate. The rate of this reaction is dominated by the resonant capture through the first excited state of 14 O ( Er =0.528 MeV ) . However, through constructive interference, direct capture below the resonance makes a non-negligible contribution to the reaction rate. We have determined this direct contribution by measuring the asymptotic normalization coefficient for 14 O → 13 N +p . In our experiment, an 11.8 MeV/nucleon 13 N radioactive beam was used to study the 14 N ( 13 N , 14 O ) 13 C peripheral transfer reaction, and the asymptotic normalization coefficient, ( C p1/2 14 O )2 =29.0±4.3 fm-1 , was extracted from the measured cross section. The radiative capture cross section was estimated using an R -matrix approach with the measured asymptotic normalization coefficient and the latest resonance parameters. We find the S factor for 13 N ( p,γ ) 14 O to be larger than previous estimates. Consequently, the transition from the cold to hot CNO cycle for novae would be controlled by the slowest proton capture reaction 14 N ( p,γ ) 15 O .

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