Droplet Model of Atomic Nuclei

Myers, William D.

doi:10.1007/978-1-4684-1390-8

Cited by 359 publications

(239 citation statements)

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“…Here the reaction mechanism is modelled in by explicit intranuclear cascade smoothly joined to statistical (exciton) preequilibrium emission [ 22] and followed by evaporation (or fission or Fermi break-up) and gamma deexcitation. In both stages, INC and exciton, the nucleus is modelled as a sphere with density given by a symmetrized Woods-Saxon [ 23] shape with parameters according to the droplet model [ 24] for A>16, and by a harmonic oscillator shell model for light isotopes (see [ 25]). The effects of the nuclear and Coulomb potentials outside the nuclear boundary are included.…”

Section: The Peanut Modelmentioning

confidence: 99%

The FLUKA atmospheric neutrino flux calculation

Battistoni

Ferrari

Montaruli

et al. 2003

Astroparticle Physics

123

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The 3-dimensional (3-D) calculation of the atmospheric neutrino flux by means of the FLUKA Monte Carlo model is here described in all details, starting from the latest data on primary cosmic ray spectra. The importance of a 3-D calculation and of its consequences have been already debated in a previous paper. Here instead the focus is on the absolute flux. We stress the relevant aspects of the hadronic interaction model of FLUKA in the atmospheric neutrino flux calculation. This model is constructed and maintained so to provide a high degree of accuracy in the description of particle production. The accuracy achieved in the comparison with data from accelerators and cross checked with data on particle production in atmosphere certifies the reliability of shower calculation in atmosphere.The results presented here can be already used for analysis by current experiments on atmospheric neutrinos. However they represent an intermediate step towards a final release, since this calculation does not yet include the bending of charged particles in atmosphere. On the other hand this last aspect, while requiring a considerable effort in a fully 3-D description of the Earth, if a high level of accuracy has to be maintained, does not affect in a significant way the analysis of atmospheric neutrino events.

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Section: The Peanut Modelmentioning

confidence: 99%

The FLUKA atmospheric neutrino flux calculation

Battistoni

Ferrari

Montaruli

et al. 2003

Astroparticle Physics

123

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“…[1][2][3][4][5]. These phenomenological models, often augmented by a shell correction which is calculated using average single-particle potentials, have been tuned up to describe nuclear bulk properties to a high precision.…”

Section: Introductionmentioning

confidence: 99%

From finite nuclei to the nuclear liquid drop: Leptodermous expansion based on self-consistent mean-field theory

et al. 2006

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The parameters of the nuclear liquid drop model, such as the volume, surface, symmetry, and curvature constants, as well as bulk radii, are extracted from the nonrelativistic and relativistic energy density functionals used in microscopic calculations for finite nuclei. The microscopic liquid drop energy, obtained self-consistently for a large sample of finite, spherical nuclei, has been expanded in terms of powers of A −1/3 (or inverse nuclear radius) and the isospin excess (or neutron-to-proton asymmetry). In order to perform a reliable extrapolation in the inverse radius, the calculations have been carried out for nuclei with huge numbers of nucleons, of the order of 10 6 . The Coulomb interaction has been ignored to be able to approach nuclei of arbitrary sizes and to avoid radial instabilities characteristic of systems with very large atomic numbers. The main contribution to the fluctuating part of the binding energy has been removed using the Green's function method to calculate the shell correction. The limitations of applying the leptodermous expansion to actual nuclei are discussed. While the leading terms in the macroscopic energy expansion can be extracted very precisely, the higher-order, isospin-dependent terms are prone to large uncertainties due to finite-size effects.

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“…[39,40] To estimate L from this experimental information requires a link between finite nuclei observables and certain quantities that characterize the symmetry energy in the infinite medium of nuclear matter. A possible way to establish this link is through the nuclear Droplet Model (DM) of Myers and Swiatecki [43,44,45] using the following empirical consideration [34,35]. The DM symmetry energy coefficient a sym (A) of a heavy nucleus like 208 Pb equals the value of the symmetry energy in infinite matter c sym (ρ) at some subsaturation density ρ (around 0.1 fm −3 in 208 Pb) when these quantities are computed with the same mean field model.…”

Section: The Neutron Skin Thickness From Antiprotonic Atomsmentioning

confidence: 99%

Density dependence of the nuclear symmetry energy from measurements of neutron radii in nuclei

Viñas¹,

Centelles²,

Roca-Maza³

et al. 2014

AIP Conference Proceedings

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Abstract. We study the density dependence of the nuclear symmetry energy, characterized by its slope parameter L, by means of the information provided by the neutron radius and the neutron skin thickness in finite nuclei. These quantities are extracted from the analysis of data obtained in antiprotonic atoms, from the parity-violating asymmetry at low-momentum transfer in polarized electron scattering in 208 Pb, and from the electric dipole polarizability obtained via polarized proton inelastic scattering at forward angles in 208 Pb. All these experiments provide different constraints on the slope L of the symmetry energy but the corresponding values have a considerable overlap in a range around 50 MeV ≤ L ≤ 70 MeV, in a reasonable agreement with other estimates that use different observables and methods to extract L.

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Droplet Model of Atomic Nuclei

Cited by 359 publications

References 0 publications

The FLUKA atmospheric neutrino flux calculation

The FLUKA atmospheric neutrino flux calculation

From finite nuclei to the nuclear liquid drop: Leptodermous expansion based on self-consistent mean-field theory

Density dependence of the nuclear symmetry energy from measurements of neutron radii in nuclei

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