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Analytic expressions for energy centroids and widths in the microscopic collective model

1985

13 pages

Published in:

Nucl.Phys.A 436 (1985) 445-457

Published: 1985

DOI:

10.1016/0375-9474(85)90079-X

View in:

Nuclear Science References

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Abstract: (Elsevier)

Analytic formulae are given for the U(3) centroids of the collective Bohr-Mottelson potential in the microscopic collective model. In particular, formulae are reported for the centroids of the quadratic [ Q · Q ∼ β 2 ] and cubic [ Q · ( Q × Q ∼ β 3 cos 3 γ ] rotational scalars in the microscopic quadrupole operator. Favorable comparisons for ground-state intensities are achieved between shell-model diagonalizations and statistical predictions based upon the gaussian approximation to the energy density. These results suggest that statistical measures can be used reliably for truncation of the infinite-dimensional representation spaces of the microscopic symplectic collective theory.

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Figures(0)

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