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Single-particle widths in 208Bi and 209Bi determined from the inelastic proton scattering by 207Pb and 208Pb

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Abstract

Single-particle widths in 209Bi for all particle orbits s1/2, d3/2, d5/2, g7/2, g9/2, i11/2, j15/2 and for the hole orbits p1/2, p3/2, f5/2, f7/2 are deduced from the study of about fifty states in 208Pb with rather pure particle-hole configurations. Relative single-particle widths of the 0+ isobaric analog resonance (IAR) in 208Bi for the orbits p3/2, f5/2, f7/2 are deduced from the 207Pb(p, p′) reaction. The 207Pb(p, p′) and 208Pb(p, p′) reactions via IAR were studied in a scattering chamber experiment of the Max-Planck institute for nuclear physics (Heidelberg, Germany) at scattering angles 40° ≤ Θ ≤ 170°. The semiconductor detectors yielded a resolution of 11–15 keV. Proton energies E p = 14.99, 16.30, 16.45, 16.60, 17.40, 17.47, 17.75 MeV covered the g9/2, j15/2, d5/2, g7/2, and d3/2 IARs in 209Bi, and 11.0 < E p < 11.8 MeV the 0 + g.s. IAR in 208Bi. The differential cross sections for nearly 70 levels in 208Pb were determined with an uncertainty of the solid angle of about 2%. Similar measurements of 208Pb(p, p′) with the Q3D magnetic spectrograph of the Maier-Leibnitz-Laboratorium (Garching, Germany) 35–45 years later yielded a resolution of about 3 keV. The uncertainty of the differential cross section was 10–30%. Scattering angles covered 20° ≤ Θ ≤ 115° and Θ = 139°. The nonresonant (p, p′) reaction often dominates at scattering angles Θ ≲ 100°. Therefore, only the combination of the two data sets, i) backward angles, precise solid angles but modest resolution, ii) medium scattering angles and high resolution, allows to determine in an iterative manner both the structure of particle-hole states in 208Pb and the relevant single-particle widths in 209Bi .

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Heusler, A., Glöckner, H.J., Grosse, E. et al. Single-particle widths in 208Bi and 209Bi determined from the inelastic proton scattering by 207Pb and 208Pb. Eur. Phys. J. A 50, 92 (2014). https://doi.org/10.1140/epja/i2014-14092-y

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