Summary
The physics leading from hydrodynamics to a nonlinear Schrödinger equation ∼ψ 3 is recalled. The final expression given previously is re-written in terms of a partial-wave expansion and the equation is solved numerically. Applications to the elastic scattering of heavy ions lead to a nice correspondence of the differential cross-sections to experiment and to consistent values of the nuclear compressibility modulus,K average=250 MeV +7.5%−15% .
Riassunto
Si riasamina la fisica che porta dall'idrodinamica all'equazione non lineare di Schrödinger ∼ψ 3. Si riscrive l'espressione finale data precedentemente in termini di una equazione d'onda parziale e si risolve numericamente l'equazione. Applicando lo scattering elastico degli ioni pesanti si ottengono un buon accordo tra le sezioni d'urto differenziale e l'esperimento e valori consistenti del modulo di comprimibilità nucleareK average=250 MeV +7.5%−15% .
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Mikulaš, K., Gridnev, K.A., Hefter, E.F. et al. Elastic scattering of heavy ions and energy storing in compressed nuclear matter. Nuov Cim A 93, 135–158 (1986). https://doi.org/10.1007/BF02819987
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DOI: https://doi.org/10.1007/BF02819987