TY - JOUR

T1 - Partial dynamical SU(3) symmetry and the nature of the lowest K=0 collective excitation in deformed nuclei

AU - Leviatan, A.

AU - Sinai, I.

PY - 1999/12

Y1 - 1999/12

N2 - We discuss the implications of partial dynamical SU(3) symmetry (PDS) for the structure of the lowest K =0+ (K=02) collective excitation in deformed nuclei. We consider an interacting boson model Hamiltonian whose ground and γ bands have good SU(3) symmetry, while the K=02 band is mixed. It is shown that the double-phonon components in the K=02 wave function arise from SU(3) admixtures which, in turn, can be determined from absolute E2 rates connecting the K=02 and ground bands. An explicit expression is derived for these admixtures in terms of the ratio of K=02 and γ bandhead energies. The SU(3) PDS predictions are compared with existing data and with broken-SU(3) calculations for 168Er.

AB - We discuss the implications of partial dynamical SU(3) symmetry (PDS) for the structure of the lowest K =0+ (K=02) collective excitation in deformed nuclei. We consider an interacting boson model Hamiltonian whose ground and γ bands have good SU(3) symmetry, while the K=02 band is mixed. It is shown that the double-phonon components in the K=02 wave function arise from SU(3) admixtures which, in turn, can be determined from absolute E2 rates connecting the K=02 and ground bands. An explicit expression is derived for these admixtures in terms of the ratio of K=02 and γ bandhead energies. The SU(3) PDS predictions are compared with existing data and with broken-SU(3) calculations for 168Er.

UR - http://www.scopus.com/inward/record.url?scp=0033474089&partnerID=8YFLogxK

U2 - 10.1103/PhysRevC.60.061301

DO - 10.1103/PhysRevC.60.061301

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AN - SCOPUS:0033474089

SN - 0556-2813

VL - 60

SP - 613011

EP - 613015

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

IS - 6

M1 - 061301

ER -