The equation of state for cold nuclear matter as seen in nucleus-nucleus scattering

Nuoffer, F.; Bartnitzky, G.; Clement, H.; Blažević, A.; Bohlen, H. G.; Gebauer, B.; Oertzen, W. von; Wilpert, M.; Wilpert, Th.; Lépine‐Szily, A.; Mittig, W.; Ostrowski, A. N.; Roussel‐Chomaz, P.

doi:10.1007/bf03035984

Cited by 28 publications

(29 citation statements)

References 19 publications

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“…2. Rutherford ratio of the cross sections for the16 O + 16 O elastic scattering at E/A = 70 MeV calculated by the FMPs with (CEG07b and CEG07c) and without (CEG07a) the TBF effect, which are compared with the experimental data from Ref [33]…”

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confidence: 99%

Effect of repulsive and attractive three-body forces on nucleus-nucleus elastic scattering

2009

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The effect of the three-body force (TBF) is studied in nucleus-nucleus elastic scattering on the basis of Brueckner theory for nucleon-nucleon (NN) effective interaction (complex G matrix) in the nuclear matter. A new G matrix called CEG07 proposed recently by the present authors includes the TBF effect and reproduces a realistic saturation curve in the nuclear matter, and it is shown to well reproduce proton-nucleus elastic scattering. The microscopic optical potential for the nucleus-nucleus system is obtained by folding the G matrix with nucleon density distributions in colliding nuclei. We first analyze in detail the 16 O + 16 O elastic scattering at E/A = 70 MeV. The observed cross sections are nicely reproduced up to the most backward scattering angles only when the TBF effect is included. The use of the frozen-density approximation (FDA) is essentially important to properly estimate the effect of the TBF in nucleus-nucleus scattering. Other prescriptions for defining the local density have also been tested, but only the FDA prescription gives a proper description of the experimental cross sections as well as the effect of the TBF. The effects of the three-body attraction and the ω-rearrangement term are also analyzed. The CEG07 interaction is compared with CDM3Y6, which is a reliable and successful effective density-dependent NN interaction used in the double-folding model. The CEG07 G matrix is also tested in the elastic scattering of 16 O by the 12 C, 28 Si, and 40 Ca targets at E/A = 93.9 MeV, and in the elastic scattering of 12 C by the 12 C target at E/A = 135 MeV with great success. The decisive effect of the TBF is clearly seen also in those systems. Finally, we have tested CEG07a, CEG07b, and CEG07c for the 16 O + 16 O system at various energies.

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Effect of repulsive and attractive three-body forces on nucleus-nucleus elastic scattering

2009

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“…Solid, dashed and dotdashed curves are for MPa, MPb and MPc, respectively. Dotted curve is for ESC.MeV are compared with the experimental data[17]. The corresponding 16 O+ 16 O double-folding potentials are shown inFig.2.…”

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Hyperon mixing and universal many-body repulsion in neutron stars

et al. 2014

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Neutron stars with large masses ∼ 2M ⊙ require the hard stiffness of equation of state (EoS) of neutron-star matter. On the other hand, hyperon mixing brings about remarkable softening of EoS. In order to solve this "Hyperon puzzle in neutron stars", a multi-pomeron exchange potential (MPP) is introduced as a model for the universal many-body repulsion in baryonic systems on the basis of the Extended Soft Core (ESC) baryon-baryon interaction. The strength of MPP is determined by analyzing the nucleus-nucleus scattering with the G-matrix folding model. The interactions in ΛN, ΣN and ΞN channels are shown to be consistent with experimental indications. The EoS in neutron-star matter with hyperon mixing is obtained from ESC in addition of MPP, and mass-radius relations of neutron stars are derived. The maximum mass is shown to reach 2M ⊙ even in the case of including hyperon mixing by model-parameters determined by terrestrial experiments.

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“…Here, ρ z A (b A ) and ρ z B (b B ) are the z-integrated densities of projectile and target nuclei respectively. t(b)db is the probability for having a nucleon-nucleon 60 collision within the transverse area element db when one nucleon approaches at an impact parameter b relative to another nucleon. All these distribution functions are normalized to one.…”

Section: The Glauber Modelmentioning

confidence: 99%

The Glauber model and heavy ion reaction and elastic scattering cross sections

Mehndiratta

Shukla

2017

Nuclear Physics A

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We revisit the Glauber model to study the heavy ion reaction cross sections and elastic scattering angular distributions at low and intermediate energies.The Glauber model takes nucleon-nucleon cross sections and nuclear densities as inputs and has no free parameter and thus can predict the cross sections for unknown systems. The Glauber model works at low energies down to Coulomb barrier with very simple modifications. We present new parametrization of measured total cross sections as well as ratio of real to imaginary parts of the scattering amplitudes for pp and np collisions as a function of nucleon kinetic energy. The nuclear (charge) densities obtained by electron scattering form factors measured in large momentum transfer range are used in the calculations.The heavy ion reaction cross sections are calculated for light and heavy systems and are compared with available data measured over large energy range.The model gives excellent description of the data. The elastic scattering angular distributions are calculated for various systems at different energies. The model gives good description of the data at small momentum transfer but the calculations deviate from the data at large momentum transfer.

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The equation of state for cold nuclear matter as seen in nucleus-nucleus scattering

Cited by 28 publications

References 19 publications

Effect of repulsive and attractive three-body forces on nucleus-nucleus elastic scattering

Effect of repulsive and attractive three-body forces on nucleus-nucleus elastic scattering

Hyperon mixing and universal many-body repulsion in neutron stars

The Glauber model and heavy ion reaction and elastic scattering cross sections

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