Probing the isovector transition strength of the low-lying nuclear excitations induced by inverse kinematics proton scattering

Abstract

A compact approach based on the folding model is suggested for the determination of the isoscalar and isovector transition strengths of the low-lying ($\Delta S=\Delta T=0$) excitations induced by inelastic proton scattering measured with exotic beams. Our analysis of the recently measured inelastic ${}^{18,20}$O+p scattering data at $E_{\mathrm{lab}}=30$ and 43 MeV/nucleon has given for the first time an accurate estimate of the isoscalar ${\beta }_0$ and isovector ${\beta }_1$ deformation parameters (which cannot be determined from the (p,p') data alone by standard methods) for 2${}_1^{+}$ and $3_1^{-}$ excited states in ${}^{18,20}$O. Quite strong isovector mixing was found in the 2${}_1^{+}$ inelastic ${}^{20}$O+p scattering channel, where the strength of the isovector form factor $F_1$ (prototype of the Lane potential) corresponds to a ${\beta }_1$ value almost 3 times larger than ${\beta }_0$ and a ratio of nuclear transition matrix elements $M_n/M_p\simeq 4.2$.

5 pages, 3 figures

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