Benchmark on neutron capture extracted from $(d,p)$ reactions

Abstract

Direct neutron capture reactions play an important role in nuclear astrophysics and applied physics. Since for most unstable short-lived nuclei it is not possible to measure the $(n,\gamma )$ cross sections, $(d,p)$ reactions have been used as an alternative indirect tool. We analyze simultaneously ${}^{48}\mathrm{Ca}(d,p{)}^{49}\mathrm{Ca}$ at deuteron energies $2,13,19$ and 56 MeV and the thermal $(n,\gamma )$ reaction at 25 meV. We include results for the ground state and the first excited state of ${}^{49}$Ca. From the low-energy $(d,p)$ reaction, the neutron asymptotic normalization coefficient (ANC) is determined. Using this ANC, we extract the spectroscopic factor (SF) from the higher energy $(d,p)$ data and the $(n,\gamma )$ data. The SF obtained through the 56 MeV $(d,p)$ data are less accurate but consistent with those from the thermal capture. We show that to have a similar dependence on the single particle parameters as in the $(n,\gamma )$, the (d,p) reaction should be measured at 30 MeV.

5 pg, 4 figs, Phys. Rev. C (rapid) in press

References in corpus (12)

• The r-process of stellar nucleosynthesis: Astrophysics and nuclear physics achievements and mysteries
• Element Synthesis in Stars
• Reduced neutron spectroscopic factors when using potential geometries constrained by Hartree-Fock calculations
• Systematic Extraction of Spectroscopic Factors from 12C(d,p)13C and 13C(p,d)12C Reactions
• Are spectroscopic factors from transfer reactions consistent with asymptotic normalisation coefficients?
• Combined method to extract spectroscopic information
• Reaction models to probe the structure of light exotic nuclei
• Probing nuclear skins and halos with elastic electron scattering
• Neutron capture of 26Mg at thermonuclear energies
• Coupling and higher-order effects in the 12C(d,p)13C and 13C(p,d)12C reactions
• Measurement of neutron capture on ${}^{48}$Ca at thermal and thermonuclear energies
• Direct neutron capture of 48Ca at kT = 52 keV

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