Abstract
Several zirconium isotopes are in the path of slow neutron capture (s) process, and the direct components of ($n,\ensuremath{\gamma}$) reactions can be derived from their neutron spectroscopic factors. In the present work, the angular distributions of ($^{12}\mathrm{C},^{13}\mathrm{C}$) and ($^{13}\mathrm{C},^{12}\mathrm{C}$) reactions on targets $^{90,92,94,96}\mathrm{Zr}$ were obtained using the high-precision Q3D magnetic spectrograph at the Beijing HI-13 tandem accelerator in China Institute of Atomic Energy. The distorted-wave Born approximation calculations were performed to extract the spectroscopic factors, using three different sets of Woods-Saxon potential parameters for these heavy-ion systems. The neutron spectroscopic factors for the ground state of $^{90--97}\mathrm{Zr}$ have been obtained and compared with other experimental data.
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