Collective fermions in the microscopic structure of open-shell nuclei

Journal Article · Thu Jan 31 23:00:00 EST 1991 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1016/0003-4916(91)90020-9· OSTI ID:5658538

Tomaselli, M ^[1]

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1. Inst. fuer Kernphysik, Darmstadt (West Germany)

Open-shell nuclei, with an odd number of valence particle-holes, are studied within an extended shell model, in which the coupling of the valence and the intrinsic core-deformed states has been taken fully in consideration. The resulting low lying nuclear states are classified in terms of configuration mixing wave function (CMWF). They are either eigenstates of a microscopic many body Hamiltonian (linearized within the np-(n {minus} 1)h valence and the (np-(n {minus} 1) h; (mp - mh)) intrinsic core-deformed states) or eigenstates of a new defined collective Hamiltonian. In order to obtain easily solvable, eigenvalue equations, a new recursive procedure has been introduced to calculate the matrix elements of the microscopic Hamiltonian in the basis of the complex CMWF. The recursive procedure introduced to calculate the matrix elements of the one and the two body operators in the complex CMWF is discussed reviewing the equations of motion methods. It is shown that the different matrix elements that characterize the commutator hierarchy are related via unitary transformations to those previously calculated. The collective fermions are freely moving in the low energy domain, whilst strongly interacting with increasing energy. This is because of the terms neglected by the linearization approximation, important in the high energy region of the spectrum, modify the structure of the collective Hamiltonian introducing the interaction of the collective fermions.

• OSTI ID: 5658538
• Journal Information: Annals of Physics (New York); (United States), Journal Name: Annals of Physics (New York); (United States) Vol. 205:2; ISSN 0003-4916; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

663120* -- Nuclear Structure Models & Methods-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COLLECTIVE MODEL
COMMUTATORS
CONFIGURATION MIXING
DIFFERENTIAL EQUATIONS
EIGENSTATES
EQUATIONS
EQUATIONS OF MOTION
FERMIONS
FUNCTIONS
HAMILTONIANS
INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
NUCLEAR MODELS
NUCLEAR STRUCTURE
NUCLEI
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE-HOLE MODEL
POLARIZATION
QUANTUM OPERATORS
SHELL MODELS
TRANSFORMATIONS
WAVE FUNCTIONS