Elastic, inelastic, and $1n$ transfer cross sections for the ${}^{10}\mathrm{B}+{}^{120}\mathrm{Sn}$ reaction

The ${}^{10}\mathrm{B}+{}^{120}\mathrm{Sn}$ reaction has been investigated at $E_{\mathrm{Lab}}=37.5$ MeV. The cross sections for different channels, such as the elastic scattering, the excitation of the $2^{+}$ and $3^{-}{}^{120}\mathrm{Sn}$ states, the excitation of the $1^{+}$ state of ${}^{10}\mathrm{B}$, and the $1n$ pick-up transfer, have been measured. One-step distorted-wave Born approximation and coupled-reaction-channels calculations have been performed in the context of the double-folding São Paulo potential. The effect of coupling the inelastic and transfer states on the angular distributions is discussed in the paper. In general, the theoretical calculations within the coupled-reaction-channels formalism yield a satisfactory agreement with the corresponding experimental angular distributions.

Figure 1

Spectrum taken at ${\theta }_{\mathrm{Lab}}={125}^{\circ }$. The peaks corresponding to the $1n$ pick-up transfer (blue), elastic scattering of ${}^{10}\mathrm{B}$ on ${}^{120}\mathrm{Sn}$ target (orange), $1^{+}{}^{10}\mathrm{B}$ first excited state (red), and the excitation of the $2^{+}$ (1173 keV) and $3^{-}$ (2400 keV) ${}^{120}\mathrm{Sn}$ states (green) can be clearly identified in the figure.

Figure 2

Experimental cross sections and CRC results for the elastic-scattering angular distribution of ${}^{10}\mathrm{B}+{}^{120}\mathrm{Sn}$ at 37.5 MeV bombarding energy. The curves were obtained using different values for the normalization factor of the imaginary part of the optical potential.

Figure 3

Inelastic-scattering angular distribution for the quadrupole excitation in ${}^{10}\mathrm{B}$. The theoretical curves were obtained using different values for the normalization factor of the imaginary part of the optical potential. The dashed line corresponds to the results obtained with the $B\left(E2\right)$ value of Ref. [26].

Figure 4

Inelastic-scattering angular distributions for (a) quadrupole and (b) octupole excitations in ${}^{120}\mathrm{Sn}$. The theoretical curves were obtained using different values for the normalization factor of the imaginary part of the optical potential. The dashed orange curve in panel (b) corresponds to the $1n$ transfer cross section forming the $5/2^{-}{}^{11}\mathrm{B}$ state (4.45 MeV of excitation energy).

Figure 5

Experimental elastic-scattering angular distribution for ${}^{10}\mathrm{B}+{}^{120}\mathrm{Sn}$ at 37.5 MeV. The curves represent the results of DWBA and CRC calculations, using $N_i=0.25$ for the imaginary part of the optical potential.

Figure 6

Inelastic-scattering angular distribution for the excitation of the $1^{+}$ state in ${}^{10}\mathrm{B}$. The curves represent the results of the DWBA and CRC calculations, using $N_i=0.25$ for the imaginary part of the optical potential.

Figure 7

The same as in Fig. 6 for the $2^{+}$ and $3^{-}$ states of ${}^{120}\mathrm{Sn}$.

Figure 8

Comparison between theoretical (CRC and DWBA) and experimental cross sections for the $1n$ transfer channel. The solid lines represent sums of contributions of two groups of neighboring states of the compound ${}^{119}\mathrm{Sn}$ nucleus, which were not experimentally resolved.

Figure 9

Wave functions for the (a) n + ${}^{10}\mathrm{B}$ and (b) n + ${}^{119}\mathrm{Sn}$ compound systems, together with binding potentials for the (c) n + ${}^{10}\mathrm{B}$ and (d) n + ${}^{119}\mathrm{Sn}$ compound systems.

Figure 10

Values of $V_0,R_0$ and spectroscopic factors that reproduce the binding energy of the ${}^{11}\mathrm{B}$ ground state, and provide a satisfactory description of the $1n$ transfer angular distributions measured at 37.5 MeV.