Determination of 11C(p,γ)12N astrophysical S-factor via measurement of 11C(d,n)12N reaction

doi:10.1016/j.nuclphysa.2003.08.017

Nuclear Physics A

Volume 728, Issues 1–2, 1 December 2003, Pages 275-284

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Abstract

Angular distribution of the ¹¹C(d, n)¹²N reaction at E_cm=9.8 MeV was measured in inverse kinematics with the secondary ¹¹C beam. The experimental data were analyzed with DWBA calculations and thereby the asymptotic normalization coefficient, $(C_{p_{eff}}^{^{12}N})^{2} =(C_{p_{1/2}}^{^{12}N})^{2} +(C_{p_{3/2}}^{^{12}N})^{2}$ , was extracted to be 2.86±0.91 fm⁻¹ for the virtual decay $^{12} N →^{11} C + p$ . The zero energy astrophysical S-factor for the direct capture $^{11} C (p,γ)^{12} N$ reaction was then derived to be 0.157±0.050 keV b. We have also estimated the contributions from resonant captures into the first- and second excited states of ¹²N and the interference between direct capture into the ground state and resonant capture into the second excited state. The temperature dependences of the direct capture, resonant capture and total reaction rates for $^{11} C (p,γ)^{12} N$ were derived. The present work shows that the direct capture dominates the $^{11} C (p,γ)^{12} N$ in the wide energy range of astrophysical interest except the ranges corresponding to two resonances.

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Citation Excerpt :
A similar approach was made by Liu at CIAE in Beijing, where a 11B beam was accelerated at the tandem facility to 78 MeV and sent onto a hydrogen gas target. The 11C recoils were analyzed and delivered to a (CD2)n target with a purity of 80% [13]. 11C beam is also produced at ISOLDE/CERN, yields are reported from the 600 MeV using MgO and CaO target materials [14] and at 1.4 GeV proton energy using, e.g. CeO, TiO2 and MgO target materials [15,16].
High intensity ¹¹C beams are necessary for the investigation of the formation of ¹²C via the nuclear reaction ¹¹C(p, γ)¹²N → ¹²C + e⁺ + ν. The production of intense carbon beams on-line is quite challenging due to the thermodynamic properties and chemical reactivity of carbon at high temperatures. A previous attempt, using a medical isotope cyclotron production method in batch mode, was not conclusive. The intensity obtained was at least one order of magnitude too low for a direct proton capture experiment using the DRAGON facility at ISAC/TRIUMF. Producing a ¹¹C beams using the ISOL method requires a target capable of efficiently releasing the carbon isotopes. NiO has been selected as a target material because most of the nickel carbides are not stable at high temperature. The development of carbon beams using a composite NiO/Ni target on-line is described.
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Nuclear Physics A

Abstract

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Cluster model calculations of the <sup>11</sup>C(p,γ)<sup>12</sup>N reaction rate and comparative overview

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Development of a NiO target for the production of <sup>11</sup>C at ISAC/TRIUMF

Rare isotopes in thermonuclear explosions on neutron stars

Radiative capture of nucleons at astrophysical energies with single-particle states