0.8 GeV<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi></mml:math>+<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>208</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>elastic scattering and the quantity<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" displa

Hoffmann, G. W.; Ray, L.; Barlett, Martin L; McGill, J.; Adams, G. S.; Igo, G.; Irom, F.; Wang, A. T. M.; Whitten, C.; Boudrie, R. L.; Amann, J. F.; Glashausser, C.; Hintz, Norton M.; Kyle, G. S.; Blanpied, G. S.

doi:10.1103/physrevc.21.1488

Cited by 130 publications

(60 citation statements)

References 14 publications

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“…This is one of the reasons for using a global approach when the data set used is large and usually correlated. In this work we use elastic p + A data between 500 MeV and 1040 MeV for 40 [56,57], and 1040 MeV [58]. However for 48 Ca only three energies; 497.5 MeV [45], 797.5 MeV [59], and 1044 MeV [51,52] are available.…”

Section: Fitting Procedures and Resultsmentioning

confidence: 99%

Neutron densities from a global analysis of medium-energy proton-nucleus elastic scattering

2003

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A new method for extracting neutron densities from intermediate energy elastic proton-nucleus scattering observables uses a global Dirac phenomenological (DP) approach based on the Relativistic Impulse Approximation (RIA). Data sets for 40 Ca, 48 Ca and 208 Pb in the energy range from 500 MeV to 1040 MeV are considered. The global fits are successful in reproducing the data and in predicting data sets not included in the analysis. Using this global approach, energy independent neutron densities are obtained. The vector point proton density distribution, ρ p v , is determined from the empirical charge density after unfolding the proton form factor. The other densities, ρ n v , ρ p s , ρ n s , are parametrized. This work provides energy independent values for the RMS neutron radius, R n and the neutron skin thickness, S n , in contrast to the energy dependent values obtained by previous studies. In addition, the results presented in paper show that the expected rms neutron radius and skin thickness for 40 Ca is accurately reproduced. The values of R n and S n obtained from the global fits that we consider to be the most reliable are given as follows: for 40 Ca, 3.314 > R n > 3.310 fm and −0.063 > S n > −0.067 fm; for 48 Ca, 3.459 > R n > 3.413 fm and 0.102 > S n > 0.056 fm; and for 208 Pb 5.550 > R n > 5.522 fm and 0.111 > S n > 0.083 fm. These values are in reasonable agreement with nonrelativistic Skyrme Hartree-Fock models and with relativistic Hartree-Bogoliubov models with density-dependent meson-nucleon couplings. The results from the global fits for 48 Ca and 208 Pb are generally not in agreement with the usual relativistic mean-field models.

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Section: Fitting Procedures and Resultsmentioning

confidence: 99%

Neutron densities from a global analysis of medium-energy proton-nucleus elastic scattering

2003

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“…Errors of the neutron distributions are estimated in a model independent fashion in Refs. [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%

“…We also estimate the uncertainty due to the error of the neutron distribution from the scattering experiment based on Refs. [26,27,28].…”

Section: Distribution Of Protons and Neutrons In The Nucleusmentioning

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

271

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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“…Experimental data are taken from Refs. [13,[70][71][72][73][74][75][76][77][78][79][80][81][82][83][84].…”

Section: Fig 11 Elastic Differential Cross Sections Of P +mentioning

confidence: 99%

Extracting nuclear sizes of medium to heavy nuclei from total reaction cross sections

et al. 2016

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Background: Proton and neutron radii are fundamental quantities of atomic nuclei. To study the sizes of short-lived unstable nuclei, there is a need for an alternative to electron scattering. Purpose: The recent paper by Horiuchi et al. [Phys. Rev. C 89, 011601(R) (2014)] proposed a possible way of extracting the matter and neutron-skin thickness of light-to medium-mass nuclei using total reaction cross section, σ R . The analysis is extended to medium to heavy nuclei up to lead isotopes with due attention to Coulomb breakup contributions as well as density distributions improved by paring correlation. Methods:We formulate a quantitative calculation of σ R based on the Glauber model including the Coulomb breakup. To substantiate the treatment of the Coulomb breakup, we also evaluate the Coulomb breakup cross section due to the electric dipole field in a canonical-basis-time-dependent-Hartree-Fock-Bogoliubov theory in the three-dimensional coordinate space. Results: We analyze σ R 's of 103 nuclei with Z = 20, 28, 40, 50, 70, and 82 incident on light targets, 1,2 H, 4 He, and 12 C. Three kinds of Skyrme interactions are tested to generate those wave functions. To discuss possible uncertainty due to the Coulomb breakup, we examine its dependence on the target, the incident energy, and the Skyrme interaction. The proton is a most promising target for extracting the nuclear sizes as the Coulomb excitation can safely be neglected. We find that the so-called reaction radius, a R = √ σ R /π, for the proton target is very well approximated by a linear function of two variables, the matter radius and the skin thickness, in which three constants depend only on the incident energy. We quantify the accuracy of σ R measurements needed to extract the nuclear sizes. Conclusions:The proton is the best target because, once the incident energy is set, its a R is very accurately determined by only the matter radius and neutron-skin thickness. If σ R 's at different incident energies are measured, one can determine both the proton and neutron radii for unstable nuclei as well. The total reaction cross sections calculated in this paper are given as Supplemental Material for the sake of future measurements.

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0.8 GeVp+Pb208elastic scattering and the quantity

Cited by 130 publications

References 14 publications

Neutron densities from a global analysis of medium-energy proton-nucleus elastic scattering

Neutron densities from a global analysis of medium-energy proton-nucleus elastic scattering

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

Extracting nuclear sizes of medium to heavy nuclei from total reaction cross sections

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