Generator Coordinate Method and Short Range Correlations

AbstractIt is shown that the cluster expansion formalism previously developed as a basis for a theory of the ground state of correlated systems may be generalised in such a way as to enable the application of the generator coordinate method in the presence of singular interactions, thereby providing also a theory for excited states.

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DESCRIPTION OF 8Be AS DEFORMED GAS-LIKE TWO-ALPHA-PARTICLE STATES

Modern Physics Letters A ◽

10.1142/s0217732303010181 ◽

2003 ◽

Vol 18 (02n06) ◽

pp. 170-173

Author(s):

Y. FUNAKI ◽

H. HORIUCHI ◽

A. TOHSAKI ◽

P. SCHUCK ◽

G. RÖPKE

Keyword(s):

Wave Function ◽

Excited States ◽

Ground State ◽

Cluster Structure ◽

Test Case ◽

Weakly Bound ◽

Generator Coordinate Method ◽

Spatial Deformation ◽

Generator Coordinate ◽

Spin Excitations

In order to study non-zero spin excitations of the recently proposed α-cluster condensation in the self-conjugate 4n nuclei, spatial deformation is introduced into the model wave function of the α-cluster condensate. The rotational band states of 8 Be are investigated as a first step of a test case for the study of the deformation of the α-cluster condensate. Calculations reproduce well the binding energy of the 0+ ground state and also the excitation energy of the 2+ state. Our 0+ wave function is found to be exactly equal to the 0+ wave function obtained by the generator coordinate method using Brink's 2α wave function. The study shows that both the 0+ ground and 2+ excited states can be considered as having a gas-like (i.e. weakly bound) 2α-cluster structure.

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Many particle and many hole states in 31Mg

Modern Physics Letters A ◽

10.1142/s0217732306022110 ◽

2006 ◽

Vol 21 (31n33) ◽

pp. 2461-2467

Author(s):

Masaaki Kimura

Keyword(s):

Molecular Dynamics ◽

Magnetic Moment ◽

Ground State ◽

Level Structure ◽

Magic Number ◽

Theoretical Framework ◽

Β Decay ◽

Generator Coordinate Method ◽

Coordinate Method ◽

Generator Coordinate

The low-lying level structure of 31 Mg has been investigated by the theoretical framework of deformed-basis antisymmetrized molecular dynamics (DAMD) plus generator coordinate method (GCM) with the Gogny D1S force. It is shown that the N =20 magic number is broken and the intruder configuration (neutron 2p3h configuration) dominates the ground state. The observed data such as the magnetic moment and β decay strength are well reproduced.

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STUDY OF LIGHT NUCLEI WITH BRUECKNER-AMD+GCM

Modern Physics Letters A ◽

10.1142/s0217732309000486 ◽

2009 ◽

Vol 24 (11n13) ◽

pp. 1013-1016 ◽

Cited By ~ 2

Author(s):

TAKAOMI MURAKAMI ◽

TOMOAKI TOGASHI ◽

KIYOSHI KATŌ

Keyword(s):

Molecular Dynamics ◽

Nuclear Structure ◽

Excited States ◽

Nuclear Force ◽

Light Nuclei ◽

Generator Coordinate Method ◽

Coordinate Method ◽

Generator Coordinate ◽

New Framework ◽

Brueckner Theory

To describe excited nuclear states, we developed the Brueckner-AMD combining the Brueckner theory with Antisymmetrized Molecular Dynamics (AMD), which has been recently proposed as a new framework to study nuclear structure of light nuclei based on the realistic nuclear force. In the present framework, we formulate a multi-configuration calculation with Generator Coordinate Method (GCM) in the Brueckner-AMD. An application is shown for the excited states with positive and negative parities in 4 He , and the successful results and reliability of the present framework are discussed.

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MULTICHANNEL ANALYSIS OF THE 16B NUCLEUS

International Journal of Modern Physics E ◽

10.1142/s0218301311019180 ◽

2011 ◽

Vol 20 (04) ◽

pp. 1022-1025

Author(s):

MARIANNE DUFOUR ◽

PIERRE DESCOUVEMONT

Keyword(s):

Shell Model ◽

Ground State ◽

Cluster Model ◽

Model Calculations ◽

Generator Coordinate Method ◽

Coordinate Method ◽

Narrow Peak ◽

Generator Coordinate ◽

Multichannel Analysis

This work is devoted to a Generator-Coordinate-Method investigation of the 16 B spectrum with an Extended Two-Cluster Model which includes many 15 B + n channels. We find that the narrow peak above the 15 B + n threshold seen in the experiments of Kalpachieva et al. and of Lecouey et al. can be assigned to a [Formula: see text] resonance. Several resonances are obtained near the 15 B + n threshold, in particular a [Formula: see text] state which could be a possible candidate for the 16 B ground state. Comparison with Shell Model calculations is performed.

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