Acta Physica Academiae Scientiarum Hungaricae 19. (1965)
1965 / 1-4. szám - Afternoon Session - Section B - P. Rennert: Nuclear Matter with Momentum-Dependent Nuclear Forces
NUCLEAR MATTER WITH MOMENTUM-DEPENDENT NUCLEAR FORCES By P. Rennert INSTITUTE OF THEORETICAL PHYSICS- TECHNICAL UNIVERSITY, DRESDEN, DDR Nuclear matter with momentum-dependent nuclear forces have been investigated with the result that those forces are suitable to explain certain properties of atomic nuclei and nuclear scattering experiments. Information is obtained on nuclear forces from scattering experiments in the two-nucleon problem and from saturation conditions in the manynucleon problem. The evaluation of the experiments yields potentials as the Gammel—Thaler potential [1], the Hamada—Johnston potential [2] or the Yale potential [3]. These potentials have space-dependent parts containing a repulsive core. Such a core brings some difficulties into the evaluation, causing the perturbation series to diverge. With the method developed by Brueckner and others [4] the perturbation calculation may be extended to hard core potentials, but the mathematical evaluation is very complicated — so for finite systems two self consistent fields are needed — and also there are some simplifications whose influence is not known exactly [5]. In the last years momentum-dependent forces [6] attracted more and more attention [7]. There we consider the two equivalent forms Vi = *>i(r) + pa>i(r)p/2m , with r = I I and p — In general we have to add tensor and spin orbital forces and to consider spin- and isospin dependence. The two space functions v(r) and co(r) have no singularities. The pure space-dependent part v(r) is an attractive potential, the momentum-dependent part a repulsive one which increases with energy. It is the counterpart to the hard core. In the potentials [1], [2], [3] for high energies the hard core is the main part and it is repulisve too. There is a straightforward connection between hard core potential and momentum-dependent potential. Bell [8] and Baker [9] pointed out, that there is a unitary trans- V2 = V2 (r) +1 2 2m+ l(r)iL, 2m