# Download e-book for iPad: 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.)

ISBN-10: 1461398894

ISBN-13: 9781461398899

ISBN-10: 1461398916

ISBN-13: 9781461398912

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**Extra resources for Advances in Nuclear Physics**

**Sample text**

21. The ordering principle in the expansion of g3 again is seen to be the connectiVity of the diagrams involved. 20) is not valid since g(r) contains exchanges of the particles involved. Products of g(r) would involve then an exchange of one particle with two others at the same time, which is clearly impossible and violates the diagram rules. , 0'---'0 +3 h Fig. 20. Expansion of the three-body distribution function. Hypernetted-Chain Theory of Matter 29 e----I" I " I " I I Fig. 21. Four-point basic diagram contributing to the three-body radial distribution function.

Of course it is possible to patch up for this deficiency by just adding in the missing diagrams for the radial distribution function. If one does that, results obtained with both methods for the same problem do not differ significantly as discussed below. It is also possible to achieve a unification of both methods(1BI by requiring the FR quantities to have the proper limiting behavior as k -+ O. 4. Effective Correlation Factor Method One of the advantages of a variational procedure is that one needs to calculate nothing but expectation values.

For the latter three correlation factors the distribution functions are computed from Eqs. 5). 20) (PB) is the one closest to the optimum one, although the corresponding correlation factor is not nearly as close to the optimal one. 20) to the exact Euler-Lagrange equation is very reasonable and takes into account properly the many-body correlations via the parameter A.. Another remarkable fact is that in spite of the difference exhibited in the figure the energies are very much alike. This again illustrates the point made for bosons.

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

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