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arXiv · 2207.10865

Study of elastic and inelastic scattering of $^7$Be + $^{12}$C at 35 MeV

K. Kundalia·D. Gupta·Sk M. Ali·Swapan K Saha·O. Tengblad·J. D. Ovejas·A. Perea·I. Martel·J. Cederkall·J. Park·S. Szwec·A. M. Moro
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Abstract

The elastic and inelastic scattering of $^7$Be from $^{12}$C have been measured at an incident energy of 35 MeV. The inelastic scattering leading to the 4.439 MeV excited state of $^{12}$C has been measured for the first time. The experimental data cover an angular range of $\theta_{cm}$ = 15$^{\circ}$-120$^{\circ}$. Optical model analyses were carried out with Woods-Saxon and double-folding potential using the density dependent M3Y (DDM3Y) effective interaction. The microscopic analysis of the elastic data indicates breakup channel coupling effect. A coupled-channel analysis of the inelastic scattering, based on collective form factors, show that mutual excitation of both $^7$Be and $^{12}$C is significantly smaller than the single excitation of $^{12}$C. The larger deformation length obtained from the DWBA analysis could be explained by including the excitation of $^7$Be in a coupled-channel analysis. The breakup cross section of $^7$Be is estimated to be less than 10$\%$ of the reaction cross section. The intrinsic deformation length obtained for the $^{12}$C$^*$ (4.439 MeV) state is $\delta _2$ = 1.37 fm. The total reaction cross section deduced from the analysis agrees very well with Wong's calculations for similar weakly bound light nuclei on $^{12}$C target.

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K. Kundalia, D. Gupta, Sk M. Ali, Swapan K Saha, O. Tengblad, J. D. Ovejas, A. Perea, I. Martel, J. Cederkall, J. Park, S. Szwec, A. M. Moro. 2022-07-22. Study of elastic and inelastic scattering of $^7$Be + $^{12}$C at 35 MeV. https://doi.org/10.1016/j.physletb.2022.137294

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