Neutron quadrupole transition strength in ${}^{10}$C deduced from the ${}^{10}$C$(\alpha ,{\alpha }^{\prime })$ measurement with the MAIKo active target

Abstract

Elastic and inelastic alpha scatterings on ${}^{10}$C were measured using a 68-MeV/u radioactive ${}^{10}$C beam incident on the recently developed MAIKo active target system. The phenomenological effective $\alpha$-$N$ interaction and the point-nucleon density distribution in the ground state were determined from the elastic scattering data. The cross sections of the inelastic alpha scattering were calculated using this interaction and density distribution and were compared with the experiment to determine the neutron quadrupole transition matrix element $M_n$ between the ground state and the $2_1^{+}$ state at $E_x=3.35$ MeV in ${}^{10}$C. The deduced neutron transition matrix element is $M_n=6.9\pm 0.7(\mathrm{fit})\pm 1.2(\mathrm{sys})$ fm${}^2$. The ratio of the neutron transition strength to proton transition strength was determined as $M_n/M_p=1.05\pm 0.11(\mathrm{fit})\pm 0.17(\mathrm{sys})$, which indicates that the quadrupole transition between the ground state and the $2_1^{+}$ state in ${}^{10}$C is less neutron dominant compared to that in ${}^{16}$C.

arXiv comment13 pages, 10 figures, 2 tables. The title and conclusion have changed from the previous version

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Cited by in corpus (7)

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• Quadrupole dynamics of carbon isotopes and 10Be
• Photodisintegration Cross Section of ${}^4$He in the Giant Dipole Resonance Energy Region
• Robust ab initio predictions for dimensionless ratios of E2 and radius observables. I. Electric quadrupole moments and deformation
• Quadrupole transitions of ${}^{10}$C and their isospin symmetry with ${}^{10}$Be