scholarly journals Building Atomic Nuclei with the Dirac Equation

2004 ◽  
Vol 19 (supp01) ◽  
pp. 107-118 ◽  
Author(s):  
Brian D. Serot
Keyword(s):  
Field Theory ◽  
Density Functional Theory ◽  
Dirac Equation ◽  
Nuclear Structure ◽  
Effective Field Theory ◽  
Density Functional ◽  
Effective Field ◽  
Functional Theory ◽  
Atomic Nuclei

The relevance of the Dirac equation for computations of nuclear structure is motivated and discussed. Quantitatively successful results for medium- and heavy-mass nuclei are described, and modern ideas of effective field theory and density functional theory are used to justify them.

scholarly journals COVARIANT EFFECTIVE FIELD THEORY FOR BULK PROPERTIES OF NUCLEI

2003 ◽  
Vol 17 (28) ◽  
pp. 5163-5173
Author(s):  
BRIAN D. SEROT
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Density Functional ◽  
Energy Functional ◽  
Effective Field ◽  
Quantum Field Theories ◽  
Many Body ◽  
Functional Theory ◽  
Covariant Quantum ◽  
Electromagnetic Structure

Recent progress in Lorentz-covariant quantum field theories of the nuclear many-body problem (quantum hadrodynamics or QHD) is discussed. The importance of modern perspectives in effective field theory and density functional theory for understanding the successes of QHD is emphasised. The inclusion of hadronic electromagnetic structure and of nonanalytic terms in the energy functional is also considered.

scholarly journals Pion-less effective field theory for atomic nuclei and lattice nuclei

2018 ◽  
Vol 98 (5) ◽  
Author(s):  
A. Bansal ◽  
S. Binder ◽  
A. Ekström ◽  
G. Hagen ◽  
G. R. Jansen ◽  
...  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
Atomic Nuclei

COVARIANT DENSITY FUNCTIONAL THEORY FOR COLLECTIVE EXCITATIONS IN NUCLEI FAR FROM STABILITY

2006 ◽  
Vol 15 (02) ◽  
pp. 520-528 ◽  
Author(s):  
P. RING
Keyword(s):  
Density Functional Theory ◽  
Density Functional ◽  
Random Phase ◽  
Effective Field ◽  
Many Body ◽  
Functional Theory ◽  
Quasiparticle Random Phase Approximation ◽  
System Use ◽  
Vibrational Excitations ◽  
Covariant Density

Modern methods for the description of the nuclear many-body system use the concepts of density functional theory (DFT) and of effective field theory (EFT). Relativistic Hartree Bogoliubov (RHB) theory is a covariant version of this method, which takes into account Lorentz symmetry and pairing correlations in a fully self-consistent way. This theory has been used in the past for a very successful phenomenological description of ground state properties of nuclei all over the periodic table. Recently is also has been extended for the investigation of excited states. We discuss the calculation of rotational bands within cranked RHB-theory and recent investigations of vibrational excitations within the framework of relativistic Quasiparticle Random Phase Approximation (QRPA).

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