SHAPE PHASE TRANSITIONS AND POSSIBLE E(5) SYMMETRY NUCLEI FOR Ti ISOTOPES

2008 ◽  
Vol 17 (03) ◽  
pp. 539-548 ◽  
Author(s):  
JIAN YOU GUO ◽  
XIANG ZHENG FANG ◽  
ZONG QIANG SHENG
Keyword(s):  
Field Theory ◽  
Experimental Data ◽  
Phase Transitions ◽  
Potential Energy Surfaces ◽  
Mean Field Theory ◽  
Mean Field ◽  
Dynamical Symmetry ◽  
Excitation Energies ◽  
Relativistic Mean Field ◽  
Energy Surfaces

Relativistic mean field theory is used to produce potential energy surfaces (PESs) for Ti isotopes. The relatively flat PESs suggest that 48, 52, 60 Ti , being on the way from vibrations to γ-unstable behavior, are the possible examples with the transitional dynamical symmetry E(5). Especially for 48 Ti , PES shows that it is a better candidate with E(5) symmetry. These conclusions are supported by the experimental data via the observed ratios of excitation energies.

IMPORTANCE OF PREFORMATION PROBABILITY IN CLUSTER RADIOACTIVE-DECAYS USING RELATIVISTIC MEAN FIELD THEORY WITHIN THE PREFORMED CLUSTER MODEL

2011 ◽  
Vol 20 (04) ◽  
pp. 1003-1007 ◽  
Author(s):  
BIRBIKRAM SINGH ◽  
S. K. PATRA ◽  
RAJ K. GUPTA
Keyword(s):  
Field Theory ◽  
Experimental Data ◽  
Empirical Formula ◽  
Cluster Model ◽  
Mean Field Theory ◽  
Mean Field ◽  
Relativistic Mean Field Theory ◽  
Relativistic Mean Field

Using the preformed cluster model (PCM) of Gupta and collaborators, we have deduced empirically the preformation probability P0emp from experimental data on both the α and exotic-cluster radioactive decays in the trans-lead region having doubly magic 208 Pb or its neighboring nuclei as daughters, using the spherical and (in some cases) deformed relativistic mean field (RMF) densities. For spherical considerations, the P0α(emp) for alpha-decays is almost constant ~ 10-2 - 10-3 for all the parent nuclei studied, and P0c(emp) for cluster-decays of the same parents decrease with increasing size of cluster. The results obtained for spherical P0c(emp) are within two to three orders of magnitude of the well accepted phenomenological formula of Blendowske-Walliser (BW), which led us to propose a new empirical formula. The use of deformed RMF densities, however, tend to bring the results closer to BW formula.

THE RELATIVISTIC MEAN FIELD THEORY AND LOW ENERGY QUADRUPOLE COLLECTIVE EXCITATIONS

2004 ◽  
Vol 13 (01) ◽  
pp. 217-224 ◽  
Author(s):  
L. PRÓCHNIAK ◽  
P. RING
Keyword(s):  
Field Theory ◽  
Experimental Data ◽  
Single Particle ◽  
Mean Field Theory ◽  
Mean Field ◽  
Low Energy ◽  
Collective Excitations ◽  
Relativistic Mean Field ◽  
Calculated Mass ◽  
Theoretical Results

We present an attempt to describe low lying quadrupole collective excitations within the frame of the RMF theory. Single particle wavefunctions obtained from the RMF are used to calculate mass parameters in the cranking approximation of the ATDHFB. The general Bohr hamiltonian with the calculated mass parameters yields collective energies and wavefunctions. Theoretical results are compared with the experimental data in the case of the γ soft 110 Ru and 126 Ba nuclei.

RELATIVISTIC MEAN FIELD THEORY FOR UNSTABLE NUCLEI AND SUPERNOVAE

2003 ◽  
Vol 17 (28) ◽  
pp. 5175-5184
Author(s):  
HIROSHI TOKI
Keyword(s):  
Field Theory ◽  
Experimental Data ◽  
Equation Of State ◽  
Mean Field Theory ◽  
Mean Field ◽  
Microscopic Theory ◽  
Phenomenological Theory ◽  
Relativistic Mean Field ◽  
Unstable Nuclei ◽  
Finite Nuclei

We discuss first the properties of unstable nuclei in the framework of the relativistic mean field (RMF) theory. We take the RMF theory as a phenomenological theory with several parameters, whose form is constrained by the successful microscopic theory (RBHF), and whose values are extracted from the experimental data of unstable nuclei. We find the outcome with the use of the parameter sets (TM1 and TMA) is promising in comparison with various experimental data on finite nuclei including unstable ones. We construct then the equation of state of nuclear matter for the use in the description of supernovae. We present also the simulations of supernovae with the supernova newly constructed equation of state in the prompt explosion scenario.

Ground State Properties of Z = 114 Isotopes in the Relativistic Mean-Field Theory

1997 ◽  
Vol 14 (4) ◽  
pp. 259-262 ◽  
Author(s):  
Ren Zhong-zhou ◽  
Zhu Zhi-yuan ◽  
Cai Yan-huang ◽  
Shen Yao-song ◽  
Zhan Wen-long ◽  
...  
Keyword(s):  
Field Theory ◽  
Ground State ◽  
Mean Field Theory ◽  
Mean Field ◽  
Relativistic Mean Field Theory ◽  
Relativistic Mean Field ◽  
Ground State Properties
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