Advances in Nuclear Physics by J. G. Zabolitzky (auth.), J. W. Negele, Erich Vogt (eds.)

By J. G. Zabolitzky (auth.), J. W. Negele, Erich Vogt (eds.)

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Unfortunately, by Eqs. 17) ga=ga[g] f = f[g] It is therefore simpler to eliminate ga and f in favor of g, and to write Eq. 16) as an equation for g(r). 14) after solving this new Euler-Lagrange equation. 9) involving just this logarithm and not involving the three-body distribution function. 18) It is simple now to vary the energy with respect to g(r) to obtain the Euler- Lagrange equation. In a slightly different way this equation has been obtained by Lantto and Siemens. 19) g1l2(OO) = 1 This is a very appealing Schrodinger-like equation exhibiting clearly the kinetic and potential terms and the polarization potential a(r) due to the presence of the many-body medium.

27 shows that the same conclusions could have been inferred from the model kinetic energies. 6. Model Nuclear Matter Nucleons interact via complicated noncentral potentials. 1. Nevertheless one might use a simple, central model potential in order to compare different many-body theories. 3) which is the central part of the Reid 3Sl - 3dl potential. (47) Again we use the FR-FHNC and FR-FHNCj4 approximations with correlation factors as given in Ref. 43. The system is unbound, Fig. 28. 8 Fig. 28. Model nuclear matter energies per particle for interaction D2 • BBB(n), from Brueckner-Bethe-Brandow theory up to and including the n-hole-Iine term (Ref.

It is seen that it is well within the error bands obtained by the kinetic energy estimates. On the other hand, even the most refined approximation leaves a considerable uncertainty in the saturation point. This is due to the large cancellation between potential and kinetic energy, each of about lOOK in magnitude, resulting in a poor relative accuracy. 4) is not necessarily an upper bound to the energy. The additional contribution, Fig. 21, to the three-body distribution function gives a positive contribution J.

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