Elastic scattering of 0.8 GeV polarized protons from 46,48Ti

Pauletta, G.; Adams, G. S.; Gazzaly, M.; Igo, G.; Wang, A.T.M.; Rahbar, A.; Wriekat, A.; Ray, L.; Hoffmann, G. W.; Barlett, M. L.; Amann, J. F.

doi:10.1016/0370-2693(81)90259-8

Cited by 15 publications

(9 citation statements)

References 13 publications

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“…In order to illustrate how the results depend on the assumption of the neutron distri- Overlap Integrals ( Figure 7: Same as Fig.3, but here the results of the analysis of the proton scattering experiments are used for the neutron density distribution [24,25] (method 3 in subsection 3.1).…”

Section: Comparison Of the Results In Three Methodsmentioning

confidence: 99%

“…In Refs. [24,25], proton and neutron densities are given assuming the three-parameter Fermi or Gaussian model. Errors of the neutron distributions are estimated in a model independent fashion in Refs.…”

Section: Methodsmentioning

confidence: 99%

“…Finally, we use the neutron distribution obtained from the polarized proton scattering experiment. The analysis was carried out for carbon (C) [24], titanium (Ti) [25], nickel (Ni) [24], zirconium (Zr) [24], and lead (Pb) [24] where proton and neutron density are given in the literature. We also estimate the uncertainty due to the error of the neutron distribution from the scattering experiment based on Refs.…”

Section: Distribution Of Protons and Neutrons In The Nucleusmentioning

confidence: 99%

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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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Section: Comparison Of the Results In Three Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Distribution Of Protons and Neutrons In The Nucleusmentioning

confidence: 99%

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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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“…For comparison we also plot the results for rm derived in the following references: For 12 C, in Refs. [5,6,7] (Tp = 800 MeV); for 13 C, in Refs. [5,7] (Tp = 800 MeV); for 16 O, in Refs.…”

mentioning

confidence: 99%

“…[9,12] (Tp = 1044 MeV); for 46,48 Ti, in Ref. [13] (Tp = 799.3 MeV); for 48 Ti, in Ref. [12] (Tp = 1044 MeV).…”

mentioning

confidence: 99%

Reaction cross section described by a black sphere approximation of nuclei

2005

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We identify a length scale that simultaneously accounts for the observed proton-nucleus reaction cross section and diffraction peak in the proton elastic differential cross section. This scale is the nuclear radius, a, deduced from proton elastic scattering data of incident energies higher than ∼ 800 MeV, by assuming that the target nucleus is a "black" sphere. The values of a are determined so as to reproduce the angle of the first diffraction maximum in the scattering data for stable nuclei. We find that the absorption cross section, πa 2 , agrees with the empirical total reaction cross section for C, Sn, and Pb to within error bars. This agreement persists in the case of the interaction cross section measured for a carbon target. We also find that 3/5a systematically deviates from the empirically deduced values of the root-mean-square matter radius for nuclei having mass less than about 50, while it almost completely agrees with the deduced values for A > ∼ 50. This tendency suggests a significant change of the nuclear matter distribution from a rectangular one for A < ∼ 50, which is consistent with the behavior of the empirical charge distribution. The size of atomic nuclei is considered to be well deduced from empirical data for the proton-nucleus elastic differential cross section, dσ el /dΩ, and the total reaction cross section, σ R ≡ σ T − σ el , where σ T is the total cross section. So far, the analysis that respects both data in deducing the nuclear size has not been completed in particular for proton incident energies, T p , higher than 800 MeV. Various approximate theories based on optical potentials have been proposed to reproduce the elastic scattering data, while they usually tend to overestimate the reaction cross section for 800 MeV < ∼ T p < ∼ 1000 MeV (e.g., Ref.[1] and references therein).In Ref.[2], we constructed a method for deducing the nuclear size by focusing on the peak angle in the proton-nucleus elastic differential cross section measured at T p > ∼ 800 MeV, where the corresponding optical potential is strongly absorptive. In this method, we regard a nucleus as a "black" (i.e., purely absorptive) sphere of radius a, and determine a in such a way as to reproduce the angle of the observed first diffraction peak. If we multiply a by 3/5, a ratio between the root-mean-square and squared off radii for a rectangular distribution, the result for stable nuclei of A > ∼ 50 shows an excellent agreement with the root-mean-square radius, r m , of the matter density distribution as determined from conventional scattering theories so as to reproduce the overall diffraction pattern and analyzing power in the proton elastic scattering.In this paper, we extend such a previous analysis to the case of A < ∼ 50, and find out a systematic deviation between 3/5a and r m . We next show that the present method is effective at explaining the observed reaction cross sections for stable nuclei ranging from light to heavy ones. In the black sphere approximation of a nucleus, where the geometrical cross section ...

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