On the imaginary part of the nucleon-nucleus potential

Clementel, E.; Villi, C.

doi:10.1007/bf02856023

Cited by 96 publications

(14 citation statements)

References 11 publications

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“…For purposes of comparison, the absorption length for 1-Mev neutrons is 24X10 -13 cm, 3 whereas for 20 to 40-Mev alpha particles it is about 1X10 -13 cm. 8 The above value for W is in agreement with "frivolous" calculations [24][25][26] based on Goldberger's 27 model for highenergy nuclear interactions. If the only alteration made in such a calculation is the inclusion of the Coulomb repulsion for the proton inside the nucleus, the result is WC^L-6 Mev.…”

Section: Brief Discussion Of the Optical Model Parameters For 10-supporting

confidence: 81%

Analysis of Proton-Nucleus Scattering at 9.8 Mev

et al. 1957

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Studies of nuclear scattering from an arbitrary complex central potential have been initiated. This first report is devoted to the analysis of proton-nucleus scattering at 9.8 Mev using the Saxon potential. Qualitative rules for the dependence of the cross section on the parameters of this model are presented for mediumheavy elements. An important feature of the analysis is that more than one set of optical model parameters is possible at this energy. These multiple solutions have in common approximately the same value of VR 2 , where V is the real part of the nuclear potential and R is the interaction radius. This value does not differ significantly from the value used in the nuclear shell model. The imaginary part of the nuclear potential corresponds to an absorption length of about one nuclear radius.

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Section: Brief Discussion Of the Optical Model Parameters For 10-supporting

confidence: 81%

Analysis of Proton-Nucleus Scattering at 9.8 Mev

et al. 1957

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“…One sees that for two Fermi gases the problem is much more complicated than the one studied in Ref. [20]. For symmetric nuclear matter, that is, k F ≡ k F 1 = k F 2 , the problem is still much more complicated than implied by Eq.…”

Section: A Medium Modification Of Nucleon-nucleon Cross Sectionsmentioning

confidence: 72%

“…(5) and (6) is not correct and misses an important part of the Pauli blocking geometry, as we show next. A geometric description of the Pauli operator Q was first studied by Clementel and Villi [20], who obtained an analytical expression for the scattering of a nucleon on a nucleon Fermi gas. By using the local-density approximation, their work has been widely used to describe Pauli-blocking in nucleon-nucleus scattering.…”

Section: A Medium Modification Of Nucleon-nucleon Cross Sectionsmentioning

confidence: 99%

Pauli blocking and medium effects in nucleon knockout reactions

Bertulani

Conti

2010

Phys. Rev. C

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We study medium modifications of the nucleon-nucleon (NN) cross sections and their influence on the nucleon knockout reactions. Using the eikonal approximation, we compare the results obtained with free NN cross sections with those obtained with a purely geometrical treatment of Pauli blocking and with NN obtained with more elaborated Dirac-Bruecker methods. The medium effects are parametrized in terms of the baryon density. We focus on symmetric nuclear matter, although the geometrical Pauli blocking also allows for the treatment of asymmetric nuclear matter. It is shown that medium effects can change the nucleon knockout cross sections and momentum distributions up to 10% in the energy range E lab = 50-300 MeV/nucleon. The effect is more evident in reactions involving halo nuclei.

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“…However, both approaches predict that the density dependence of the real central interaction depends slowly upon energy and remains quite strong even at 800 MeV [43,32]. The dominant effect for the imaginary central interaction arises from Pauli blocking and for both the BHF and the IA2 models gives results similar to the familiar Clementel-Villi [73] damping of the absorptive potential, in which the damping factor is inversely proportional to the proton energy. Hence this effect is most important for low energies.…”

Section: E Local Density Approximationmentioning

confidence: 93%

Nuclear transparency to intermediate-energy protons

Kelly

1996

Phys. Rev. C

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Nuclear transparency in the (e, e ′ p) reaction for 135 ≤ T p ≤ 800 MeV is investigated using the distorted wave approximation. Calculations using densitydependent effective interactions, both empirical and theoretical, are compared with phenomenological optical potentials. We find that nuclear transparency is well correlated with proton absorption and neutron total cross sections and that calculations using density-dependent effective interactions provide the best agreement with data. Nuclear transparency calculations are compared with recent electron scattering data for Q 2 < 2 (GeV/c) 2 . For T p < ∼ 200 MeV we find that there is considerable sensitivity to the choice of optical model and that the empirical effective interaction provides the best agreement with the data, but remains 5-10% low. For T p > ∼ 300 MeV we find that there is much less difference between these models, but that the calculations significantly underpredict transparency data and that the discrepancy increases with A. The differences between Glauber and optical model calculations are related to their respective definitions of the semi-inclusive cross section. By using a more inclusive summation over final states the Glauber model emphasizes nucleonnucleon inelasticity, whereas with a more restrictive summation the optical model emphasizes nucleon-nucleus inelasticity; experimental definitions of the semi-inclusive cross section lie between these extremes.

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On the imaginary part of the nucleon-nucleus potential

Cited by 96 publications

References 11 publications

Analysis of Proton-Nucleus Scattering at 9.8 Mev

Analysis of Proton-Nucleus Scattering at 9.8 Mev

Pauli blocking and medium effects in nucleon knockout reactions

Nuclear transparency to intermediate-energy protons

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