Abstract
The effect of 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 is shown to well reproduce proton-nucleus elastic scattering. The microscopic optical potential for nucleus-nucleus system is obtained by folding the G matrix with nucleon density distributions in colliding nuclei. We first analyze the 16 O + 16 O elastic scattering at E/A = 70 MeV in detail. The observed cross sections are nicely reproduced up to the most backward scattering angles only when the TBF effect is included. The effects of the three-body attraction (TBA) and three-body repulsion (TBR) are also analyzed. The TBR contribution has an important role in nucleus-nucleus elastic scattering. 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 a great success. The decisive effect of the TBF is clearly seen also in those systems.
Highlights
The role of the nuclear three-body force (TBF) in complex nuclear systems is one of the key issues in nuclear physics and in nuclear astrophysics relevant to high-density nuclear matter in neutron stars and supernova explosions
To obtain a reasonable saturation curve, it is indispensable to take into account the additional contributions of the TBF, which contains two parts: a three-body attraction (TBA) and a three-body repulsion (TBR)
Since the imaginary part of the optical potential for AA systems represents all excurrent flux escaping from elastic scattering channel through all the possible open reaction channels, it would be difficult to completely simulate those flux loss by the imaginary part of the G-matrix interaction originated from the pair-scattering correlations in the nuclear matter
Summary
The role of the nuclear three-body force (TBF) in complex nuclear systems is one of the key issues in nuclear physics and in nuclear astrophysics relevant to high-density nuclear matter in neutron stars and supernova explosions. The importance of a consistent description of nuclear saturation properties and elastic scattering of AA systems was first pointed out by Khoa et al [12,13] on the basis of folding-model analyses They used density-dependent effective NN interactions such as DDM3Y, BDM3Y, and CDM3Y obtained from the density-independent effective interaction M3Y [14] by multiplying various kind of phenomenological density-dependent factors by hand, the parameters of which were chosen so as to represent various types of saturation curves in nuclear matter. The real part of the AA potential was calculated by the folding of these interactions with nucleon densities of the AA system, whereas the imaginary part was treated in a completely phenomenological way because M3Y was composed only of a real part They showed the importance of using an effective interaction to be chosen to reproduce the realistic saturation curve in nuclear matter for the proper description of elastic scattering of AA systems.
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