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== '''The Selfconsistent Quasiparticle RPA and Its Description of Thermal Pairing Properties in Nuclei''' ==
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== '''A multi-state multi-reference coupled cluster formalism''' ==
  
'''Nguyen Dinh Dang'''
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'''Jean-Paul Malrieu'''
  
''1 - Heavy-Ion Nuclear Physics Laboratory,
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''Laboratoire de Chimie et Physique Quantiques, Université de Toulouse et CNRS, Toulouse.''
''Nishina Center for Accelerator-Based Science''
 
''RIKEN 2-1 Hirosawa, Wako city, 351-0198 Saitama, Japan''
 
  
''2 - Institute for Nuclear Science and Techniques, Vietnam Atomic Energy Commission''
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This work first returns on the intrinsic difficulties of multi-reference coupled cluster (MR-CC) formalisms. They may be formulated either in an effective Hamiltonian frame or in an intermediate effective Hamiltonian (IEH) one. In the former case complete model space approach being intractable, the incomplete model space approach is re-examined, and is formulated in terms of an IEH, despite the fact that the model space dimension is equal to the number of desired roots. Some of its drawbacks are illustrated on the magnetic systems problem. Then one proposes a multi-root complete active space (CAS)-based CC-SD, which only handles single and double excitation operators, generalising a previously proposed State Specific MR-CC formalism. The method proceeds through an iterative dressing of the matrix elements between the singles and doubles and the CAS determinants.
''Hanoi - Vietnam''
 
  
The Selfconsistent Quasiparticle RPA (SCQRPA) is constructed [1] to study the effects of fluctuations on pairing properties in finite systems.
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''Reference''
The theory is applied to nuclei at finite temperature [2] and angular momentum [3]. Particle number projection is taken into account within the Lipkin-Nogami method.
 
Several issues such as the smoothing of superfluid-normal phase transition, thermally assisted pairing in hot rotating nuclei, extraction of the nuclear pairing gap using an
 
improved odd-even mass difference are discussed [4]. Finally, a novel approach of embedding the projected SCQRPA eigenvalues in the canonical ensemble (CE) is proposed (the CE-SCQRPA) [5]. Applied to a doubly-folded equidistant multilevel pairing model, the proposed CE-SCQRPA produces results in good agreement with those obtained by using the exact eigenvalues, whenever the latter are possible, and is workable also for large values of particle number (N>14), where the diagonalisation of the pairing Hamiltonian is impracticable.
 
  
''References''
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J. P. Malrieu, Mol. 
Phys. 111, 2451 (2013)
 
 
[1] N. Quang Hung and N. Dinh Dang, 
Phys. Rev. C 76 (2007) 054302 and 77 (2008) 029905(E).
 
 
 
[2] N. Dinh Dang and N. Quang Hung, 
Phys. Rev. C 77 (2008) 064315.
 
 
 
[3] N. Quang Hung and N. Dinh Dang, 
Phys. Rev. C 78 (2008) 064315.
 
 
 
[4] N. Quang Hung and N. Dinh Dang, 
Phys. Rev. C 79 (2009) 054328.
 
 
 
[5] N. Quang Hung and N. Dinh Dang, in preparation
 

Version du 1 octobre 2013 à 13:58

A multi-state multi-reference coupled cluster formalism

Jean-Paul Malrieu

Laboratoire de Chimie et Physique Quantiques, Université de Toulouse et CNRS, Toulouse.

This work first returns on the intrinsic difficulties of multi-reference coupled cluster (MR-CC) formalisms. They may be formulated either in an effective Hamiltonian frame or in an intermediate effective Hamiltonian (IEH) one. In the former case complete model space approach being intractable, the incomplete model space approach is re-examined, and is formulated in terms of an IEH, despite the fact that the model space dimension is equal to the number of desired roots. Some of its drawbacks are illustrated on the magnetic systems problem. Then one proposes a multi-root complete active space (CAS)-based CC-SD, which only handles single and double excitation operators, generalising a previously proposed State Specific MR-CC formalism. The method proceeds through an iterative dressing of the matrix elements between the singles and doubles and the CAS determinants.

Reference

J. P. Malrieu, Mol. 
Phys. 111, 2451 (2013)