Variational approach to anharmonic collective motion

Journal Article · Fri Aug 01 00:00:00 EDT 1997 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.56.839· OSTI ID:528167

Bertsch, G F ^[1]; Feldmeier, H ^[2]

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1. Department of Physics and Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195 (United States)
2. Gesellschaft fuer Schwerionenforschung, Postfach 110552, D-64220 Darmstadt (Germany)

We derive large-amplitude collective equations of motion from the variational principle for the time-dependent Schr{umlt o}dinger equation. These equations reduce to the well-known diabatic formulas for vibrational frequencies in the small-amplitude limit. The finite-amplitude expression allows departures from the harmonic behavior of giant resonances to be simply estimated. The relative shift of the second phonon falls with nuclear mass A as A{sup {minus}4/3} in the three modes we consider: monopole, dipole, and quadrupole. Numerically, the effect is very small in heavy nuclei, as was found with other approaches. {copyright} {ital 1997} {ital The American Physical Society}

• Research Organization: Univ. of Washington, Seattle, WA (United States)
• DOE Contract Number: FG06-90ER40561
• OSTI ID: 528167
• Journal Information: Physical Review, C, Vol. 56, Issue 2; Other Information: PBD: Aug 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COLLECTIVE MODEL
SCHROEDINGER EQUATION
VARIATIONAL METHODS
TIME DEPENDENCE
EQUATIONS OF MOTION
PHONONS
MASS
MONOPOLES
DIPOLES
QUADRUPOLES
HEAVY NUCLEI
ANHARMONIC OSCILLATORS
VIBRATIONAL STATES