Asymptotic normalization coefficients from the ${}^{14}$C($d$,$p$)${}^{15}$C reaction

The ${}^{14}\mathrm{C}(n,\gamma ){}^{15}\mathrm{C}$ reaction plays an important role in inhomogeneous big bang models. In Timofeyuk et al. [Phys. Rev. Lett. 96, 162501 (2006)] it was shown that the ${}^{14}\mathrm{C}(n,\gamma ){}^{15}\mathrm{C}$ radiative capture at astrophysically relevant energies is a peripheral reaction, i.e., the overall normalization of its cross section is determined by the asymptotic normalization coefficient (ANC) for ${}^{15}\mathrm{C}\to {}^{14}\mathrm{C}+n$. Here we present new measurements of the ${}^{14}\mathrm{C}(d,p){}^{15}\mathrm{C}$ differential cross sections at deuteron incident energy of $17.06$ MeV and the analysis to determine the ANCs for neutron removal from the ground and first excited states of ${}^{15}\mathrm{C}$. The results are compared with previous estimations.

Figure 1

Spectrum of protons from the ${}^{14}\mathrm{C}(d,p){}^{15}\mathrm{C}$ reaction at ${\theta }_{\mathrm{lab}}=29.5^o$. The proton groups from the ${}^{14}\mathrm{C}$ target, including admixtures are shown by a black line. The normalized proton groups from the Mylar target shown by red color indicate contamination of used ${}^{14}\mathrm{C}$ target as described in the text. All admixtures are marked by description in red letters.

Figure 2

Angular distributions from the ${}^{14}\mathrm{C}(d,p){}^{15}\mathrm{C}$ reaction for the transitions leading to the ground state $2s_{1/2}$ in ${}^{15}\mathrm{C}$: FR-ADWA with CH89 potentials, red thick solid line; D1-P1, pink dashed-dotted line; D1-P2, blue thick dashed line; D2-P1, magenta dotted line; D2-P2, green short-dashed line.

Figure 3

Angular distributions from the ${}^{14}\mathrm{C}(d,p){}^{15}\mathrm{C}$ reaction for the transitions leading to the first excited state $1d_{5/2}$ in ${}^{15}\mathrm{C}$. Notations are the same as in Fig 2.

Figure 4

The angular distribution of the deuteron elastic scattering on ${}^{14}\mathrm{C}$ obtained with the beam energy of 17.06 MeV. Curves represent final fits generated by optical potential sets D1 (dashed line) and D2 (solid line) given in Table .