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.

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.

scholarly journals COLLECTIVE EXCITATIONS OF TRANSACTINIDE NUCLEI IN A SELF-CONSISTENT MEAN FIELD THEORY

2008 ◽  
Vol 17 (01) ◽  
pp. 160-167 ◽  
Author(s):  
L. PRÓCHNIAK
Keyword(s):  
Field Theory ◽  
Experimental Data ◽  
Potential Energy ◽  
Reasonable Agreement ◽  
Transition Probabilities ◽  
Mean Field Theory ◽  
Mean Field ◽  
Collective Excitations ◽  
Self Consistent ◽  
Collective States

We applied the ATDHFB approach for study of properties of collective quadrupole states in several transactinide nuclei: 238 U , 240 Pu , 242 Pu , 246 Cm , 248 Cm , 250 Cf and 252 Cf . Calculated energies and B(E2) transition probabilities are in a reasonable agreement with experimental data. We present also results concerning superdeformed collective states in the second minimum of potential energy of the 240 Pu nucleus.

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.

TEMPERATURE DEPENDENCE OF NUCLEAR STRUCTURE IN THE RELATIVISTIC MEAN-FIELD THEORY WITH A NEW PARAMETER SET

2004 ◽  
Vol 13 (06) ◽  
pp. 1147-1155 ◽  
Author(s):  
BOŻENA NERLO-POMORSKA ◽  
KRZYSZTOF POMORSKI ◽  
JOANNA SYKUT ◽  
JOHAN BARTEL
Keyword(s):  
Field Theory ◽  
Single Particle ◽  
Level Density ◽  
Mean Field Theory ◽  
Mean Field ◽  
Relativistic Mean Field Theory ◽  
Level Densities ◽  
Relativistic Mean Field ◽  
Single Particle Level ◽  
Particle Level

A new set of relativistic mean-field theory (RMFT) parameters, NL4, ensuring a better description of the average nuclear energy as given by the new Lublin–Strasbourg mass formula, is used in a self-consistent description of 171 spherical even-even nuclei at temperatures 0≤T≤4 MeV. Single-particle level densities for this sample of nuclei are determined by analyzing the data obtained for various temperatures. The average dependence of the single-particle level density on mass number A and isospin is given and compared with previous estimates obtained using the RMFT-NL3, Thomas–Fermi and semiclassical Skyrme SkM* approaches.

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