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- W110098521 abstract "Reported are measurements of angular distributions of resonance-energy positive and negative pions exciting approximately 40 states in $^{24}mathrm{Mg}$ and $^{26}mathrm{Mg}$. These include the (ground state, ${0}^{+}$), (1.36 MeV, ${2}^{+}$), (4.14, ${2}^{+}$), (5.93, ${4}^{+}$), (6.44, ${0}^{+}$), (7.34), (7.55, ${3}^{mathrm{ensuremath{-}}}$), (8.33, ${3}^{mathrm{ensuremath{-}}}$), (9.32, ${4}^{+}$), (9.97, ${5}^{mathrm{ensuremath{-}}}$), (11.08, ${3}^{mathrm{ensuremath{-}}}$), (12.06), (13.26), (13.96, ${3}^{mathrm{ensuremath{-}}}$), (15.1, T=1, ${6}^{mathrm{ensuremath{-}}}$), and (15.4) states in $^{24}mathrm{Mg}$ and the (ground state, ${0}^{+}$), (1.81, ${2}^{+}$), (2.92, ${2}^{+}$), (3.59, ${0}^{+}$), (4.31, ${2}^{+}$+${4}^{+}$), (4.90, ${4}^{+}$), (5.31, ${2}^{+}$), (5.44, ${4}^{+}$), (5.69, ${4}^{+}$), (6.86, ${3}^{mathrm{ensuremath{-}}}$), (7.33, ${3}^{mathrm{ensuremath{-}}}$), (7.79, ${3}^{mathrm{ensuremath{-}}}$), (8.17, ${3}^{mathrm{ensuremath{-}}}$), (9.2, possible ${6}^{mathrm{ensuremath{-}}}$), (10.30, ${4}^{+}$), and (18.1, T=2, ${6}^{mathrm{ensuremath{-}}}$) states in $^{26}mathrm{Mg}$. The distorted-wave impulse approximation with a Kisslinger form for the optical potential using a ensuremath{pi}-nucleon t matrix at a shifted energy of -25 MeV was found to explain the elastic scattering data from $^{24,26}mathrm{Mg}$ in the energy range 116--292 MeV that is spanned by these data. Inelastic distorted-wave impulse approximation calculations employing collective-model deformation parameters were simultaneously fitted to the ${mathrm{ensuremath{pi}}}^{+}$ and ${mathrm{ensuremath{pi}}}^{mathrm{ensuremath{-}}}$ data for each state.The deformation parameters and matrix elements in most cases compare favorably with results from other studies. Published s-d shell-model calculations using one value for the effective charges were found to reproduce the trend of both the strengths and ratios of neutron-to-proton matrix elements for the ${2}^{+}$ and ${4}^{+}$ states. The data at the first maximum in the inelastic angular distributions for $^{24}mathrm{Mg}$ and that from other studies for $^{12}mathrm{C}$, $^{28}mathrm{Si}$, and $^{40}mathrm{Ca}$ show that the cross section for ${mathrm{ensuremath{pi}}}^{+}$ scattering is equal to that for ${mathrm{ensuremath{pi}}}^{mathrm{ensuremath{-}}}$ scattering, which forces the proton deformation parameters to be greater than the neutron deformation parameters and gives a ratio of neutron-to-proton elements to be less than unity. This difference from unity is interpreted as a measure of the failure of the model and a systematic error of 11% is assumed to dominate the errors in the results for $^{26}mathrm{Mg}$. Coupled-channels calculations employing monopole form factors are compared to data for low-lying ${0}^{+}$ states in $^{24}mathrm{Mg}$ and $^{26}mathrm{Mg}$." @default.
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- W110098521 title "Pion elastic and inelastic scattering from<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant=normal>Mg</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>24</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant=normal>Mg</mml:mi…" @default.
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- W110098521 doi "https://doi.org/10.1103/physrevc.41.1625" @default.
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