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HK: Fachverband Physik der Hadronen und Kerne

HK 8: Kernphysik / Spektroskopie

HK 8.8: Talk

Monday, March 10, 2008, 15:45–16:00, 2G

Bohr Hamiltonian with different mass coefficients for the ground– and γ bands — •Rostislav V. Jolos^1,2 and Peter von Brentano² — ¹Joint Institute for Nuclear Research, Dubna, Russia — ²Institut für Kernphysik der Universität zu Köln

In the description of the collective nuclear dynamics the mass coefficient plays an important role as the potential energy. Frequently it is assumed that the mass coefficient in the lab. frame is a constant. And in the case of the well deformed nuclei the same mass coefficient is used for description of the rotational motion and for vibrations. Experimental data show, however, that the ratio of the mass coefficients for the gamma–vibrations and for rotations takes the values 3–5 [1]. The implied large difference means that the mass tensor of the Bohr Hamiltonian cannot be reduced to a scalar. However, the inclusion of scalar and other components of the mass tensor can explain the difference in the values of the mass coefficients for the γ–vibrations and the ground state rotations. A simplified estimate of the ratio B_γ/B_rot obtained using the cranking model expressions for the mass coefficients is in agreemant with the data. The more general form of the kinetic energy term for the Bohr Hamiltonian given in the intrinsic frame is derived.

[1]R.V.Jolos and P. von Brentano, Phys. Rev. C 76, 024309 (2007).

Work supported by DFG through Br799/12 and by DFG East European–Germany collaboration grant.