Proton scattering by<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>2</mml:mn><mml:mn>0</mml:mn><mml:mn>6</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mn>0</mml:mn><mml:mn>7</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mn>0</mml:mn><mml:mn>8</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>at 650 MeV:

Mack, A. M.; Hintz, Norton M.; Cook, David A.; Franey, M. A.; Amann, J. F.; Barlett, Martin L; Hoffmann, G. W.; Pauletta, G.; Ciskowski, D.; Purcell, M.

doi:10.1103/physrevc.52.291

Cited by 12 publications

(4 citation statements)

References 32 publications

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“…[26,27]. More recently, the determination of the neutron density have been improved for lead (Pb) based on a new experiment and a new analysis [28,29].…”

Section: Methodsmentioning

confidence: 99%

Erratum: Detailed calculation of lepton flavor violating muon-electron conversion rate for various nuclei [Phys. Rev. D66, 096002 (2002)]

Kitano¹,

Koike²,

Okada³

2007

Phys. Rev. D

276

455

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The coherent µ-e conversion rates in various nuclei are calculated for general lepton flavor violating interactions. We solve the Dirac equations numerically for the initial state muon and the final state electron in the Coulomb force, and perform the overlap integrals between the wave functions and the nucleon densities. The results indicate that the conversion branching ratio increases for a light nucleus up to the atomic number Z ∼ 30, is largest for Z = 30 -60, and becomes smaller for a heavy nucleus with Z 60. We also discuss the uncertainty from the input proton and neutron densities. The atomic number dependence of the conversion ratio calculated here is useful to distinguish theoretical models with lepton flavor violation. *

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“…[26,27]. More recently, the determination of the neutron density have been improved for lead (Pb) based on a new experiment and a new analysis [28,29].…”

Section: Methodsmentioning

confidence: 99%

Erratum: Detailed calculation of lepton flavor violating muon-electron conversion rate for various nuclei [Phys. Rev. D66, 096002 (2002)]

Kitano¹,

Koike²,

Okada³

2007

Phys. Rev. D

276

455

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“…[8]. There were also some attempts to deduce higher moments of the neutron distribution from the hadron scattering experiments [37] (see also [36]). On the other hand, the ability of the medium-energy elastic proton scattering data to determine the neutron distributions was recently contested [38].…”

Section: Introductionmentioning

confidence: 99%

Neutron density distributions from antiprotonicPb208andBi209

Kłos¹,

et al. 2007

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The x-ray cascade from antiprotonic atoms was studied for 208 Pb and 209 Bi. Widths and shifts of the levels due to the strong interaction were determined. Using modern antiproton-nucleus optical potentials, the neutron densities in the nuclear periphery were deduced. Assuming two-parameter Fermi distributions (2pF) describing the proton and neutron densities, the neutron rms radii were deduced for both nuclei. The difference of neutron and proton rms radii r np equal to 0.16 ± (0.02) stat ± (0.04) syst fm for 208 Pb and 0.14 ± (0.04) stat ± (0.04) syst fm for 209 Bi were determined, and the assigned systematic errors are discussed. The r np values and the deduced shapes of the neutron distributions are compared with mean field model calculations.

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“…14) For elastic scattering data of 208 Pb, we adopt the empirical values at T p = 65 MeV, 44) T p = 80, 121, 160, 182 MeV, 55) T p = 160 MeV, 46) T p = 185 MeV, 56) T p = 200 MeV, 57,58) T p = 200, 300, 400, 500 MeV, 59) T p = 295 MeV, 12) T p = 500 MeV, 60) and T p = 650 MeV. 61) We do not adopt the data at T p = 100.4 MeV, 45) because the measured diffraction pattern does not include the first peak. For T p 800 MeV, the references are listed for p+ 208 Pb in ref.…”

Section: Energy Dependencementioning

confidence: 99%

Energy and Mass-Number Dependence of Hadron–Nucleus Total Reaction Cross Sections

2016

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We thoroughly investigate how proton-nucleus total reaction cross sections depend on the target mass number A and the proton incident energy. In doing so, we systematically analyze nuclear reaction data that are sensitive to nuclear size, namely, proton-nucleus total reaction cross sections and differential elastic cross sections, using a phenomenological black-sphere approximation of nuclei that we are developing. In this framework, the radius of the black sphere is found to be a useful length scale that simultaneously accounts for the observed proton-nucleus total reaction cross section and first diffraction peak in the proton elastic differential cross section. This framework, which is shown here to be applicable to antiprotons, is expected to be applicable to any kind of projectile that is strongly attenuated in the nucleus. On the basis of a cross-section formula constructed within this framework, we find that a less familiar A 1/6 dependence plays a crucial role in describing the energy dependence of proton-nucleus total reaction cross sections.

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Proton scattering byPb206,207,208at 650 MeV:

Cited by 12 publications

References 32 publications

Erratum: Detailed calculation of lepton flavor violating muon-electron conversion rate for various nuclei [Phys. Rev. D66, 096002 (2002)]

Erratum: Detailed calculation of lepton flavor violating muon-electron conversion rate for various nuclei [Phys. Rev. D66, 096002 (2002)]

Neutron density distributions from antiprotonicPb208andBi209

Energy and Mass-Number Dependence of Hadron–Nucleus Total Reaction Cross Sections

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