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Title: Covariant density functional theory for magnetic rotation

Abstract

The tilted axis cranking formalism is implemented in relativistic mean field (RMF) theory. It is used for a microscopic description of magnetic rotation in the framework of covariant density functional theory. We assume that the rotational axis is in the xz plane and consider systems with the two symmetries P (space reflection) and P{sub y}T (a combination of a reflection in the y direction and time reversal). A computer code based on these symmetries is developed, and first applications are discussed for the nucleus {sup 142}Gd: the rotational band based on the configuration {pi}h{sub 11/2}{sup 2} x {nu}h{sub 11/2}{sup -2} is investigated in a fully microscopic and self-consistent way. The results are compared with available data, such as spectra and electromagnetic transition ratios B(M1)/B(E2). The relation between rotational velocity and angular momentum are discussed in detail together with the shears mechanism characteristic of magnetic rotation.

Authors:
 [1];  [2];  [3];  [2]
  1. Department of Physics, Beijing Normal University, Beijing 100875 (China)
  2. School of Physics, Peking University, Beijing 100871 (China)
  3. Physik Department, Technische Universitaet Muenchen, D-85747 Garching (Germany)
Publication Date:
OSTI Identifier:
21192111
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 78; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevC.78.024313; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ANGULAR MOMENTUM; CONFIGURATION; DENSITY FUNCTIONAL METHOD; E2-TRANSITIONS; ENERGY-LEVEL TRANSITIONS; GADOLINIUM 142; M1-TRANSITIONS; MEAN-FIELD THEORY; P INVARIANCE; REFLECTION; RELATIVISTIC RANGE; ROTATION; ROTATIONAL STATES; SPECTRA; SYMMETRY; VELOCITY

Citation Formats

Peng, J, School of Physics, Peking University, Beijing 100871, Physik Department, Technische Universitaet Muenchen, D-85747 Garching, Meng, J, Institute of Theoretical Physics, Chinese Academy of Science, Beijing 100080, Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, Ring, P, Departamento de Fisica Teorica, Universidad Autonoma de Madrid, E-28049 Madrid, and Zhang, S Q. Covariant density functional theory for magnetic rotation. United States: N. p., 2008. Web. doi:10.1103/PHYSREVC.78.024313.
Peng, J, School of Physics, Peking University, Beijing 100871, Physik Department, Technische Universitaet Muenchen, D-85747 Garching, Meng, J, Institute of Theoretical Physics, Chinese Academy of Science, Beijing 100080, Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, Ring, P, Departamento de Fisica Teorica, Universidad Autonoma de Madrid, E-28049 Madrid, & Zhang, S Q. Covariant density functional theory for magnetic rotation. United States. doi:10.1103/PHYSREVC.78.024313.
Peng, J, School of Physics, Peking University, Beijing 100871, Physik Department, Technische Universitaet Muenchen, D-85747 Garching, Meng, J, Institute of Theoretical Physics, Chinese Academy of Science, Beijing 100080, Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, Ring, P, Departamento de Fisica Teorica, Universidad Autonoma de Madrid, E-28049 Madrid, and Zhang, S Q. Fri . "Covariant density functional theory for magnetic rotation". United States. doi:10.1103/PHYSREVC.78.024313.
@article{osti_21192111,
title = {Covariant density functional theory for magnetic rotation},
author = {Peng, J and School of Physics, Peking University, Beijing 100871 and Physik Department, Technische Universitaet Muenchen, D-85747 Garching and Meng, J and Institute of Theoretical Physics, Chinese Academy of Science, Beijing 100080 and Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000 and Ring, P and Departamento de Fisica Teorica, Universidad Autonoma de Madrid, E-28049 Madrid and Zhang, S Q},
abstractNote = {The tilted axis cranking formalism is implemented in relativistic mean field (RMF) theory. It is used for a microscopic description of magnetic rotation in the framework of covariant density functional theory. We assume that the rotational axis is in the xz plane and consider systems with the two symmetries P (space reflection) and P{sub y}T (a combination of a reflection in the y direction and time reversal). A computer code based on these symmetries is developed, and first applications are discussed for the nucleus {sup 142}Gd: the rotational band based on the configuration {pi}h{sub 11/2}{sup 2} x {nu}h{sub 11/2}{sup -2} is investigated in a fully microscopic and self-consistent way. The results are compared with available data, such as spectra and electromagnetic transition ratios B(M1)/B(E2). The relation between rotational velocity and angular momentum are discussed in detail together with the shears mechanism characteristic of magnetic rotation.},
doi = {10.1103/PHYSREVC.78.024313},
journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 2,
volume = 78,
place = {United States},
year = {2008},
month = {8}
}