Single- and double-beta decay Fermi transitions in an exactly solvable model

Hirsch, Jorge G.; Hess, Peter O.; Civitarese, O.

doi:10.1103/physrevc.56.199

Cited by 42 publications

(54 citation statements)

References 32 publications

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“…Up to now all realistic calculations taking into account GSC beyond the RPA have been performed with separable effective forces only (see [11,12,16,17]) because even for such simplified forces it is not very easy to solve the set of nonlinear equations in a large configuration space. The finite rank separable approximation for the Skyrme forces suggested recently [35] opens a new possibility to treat GSC beyond RPA basing on more realistic nuclear interactions.…”

Section: Discussionmentioning

confidence: 99%

“…There is a rather complete list of references on that subject in paper [10]. Renormalized RPA equations that include corrections for the ground state correlations (GSC), have been applied not only to study properties of the lowlying isoscalar vibrations in spherical nuclei [11,12], but also to investigate the charge-exchange modes in nuclei [16,17] and the giant resonances in metal clusters [18]. To describe excited states all above mentioned works use the one phonon states that can be created acting by the relevant collective operator on the ground state of the system, which is treated as the vacuum state.…”

Section: Introductionmentioning

confidence: 99%

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Effects of the ground state correlations on the structure of vibrational states

Karadjov

Voronov²,

Catara

et al. 1998

Nuclear Physics A

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effects of the ground state correlations on the structure of vibrational states

Karadjov

Voronov²,

Catara

et al. 1998

Nuclear Physics A

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“…In the case of the many body Hamiltonians used for the description of the transition rates of single and double beta decays the realistic protonneutron force is expected to be close to its critical value. Due to this feature many theoretical works have been devoted to improving the standard QRPA by removing the ground state instabilities [1][2][3][4][5][6][7][8][9][10][11].…”

mentioning

confidence: 99%

“…It is a common practice to investigate the validity of different approximation schemes within exactly solvable models, which describe the gross properties of the fermion many-body systems [1][2][3][4][5]7,8,14,15]. Recently, it has been shown that the QRPA does not develop any collapse and is in good agreement with exact results, if the Pauli exclusion principle (PEP) is consistently implemented in this approach [1].…”

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confidence: 99%

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Quasiparticle random-phase approximation with an optimal ground state

Šimkovic

Râduţâ

2001

J. Phys. G: Nucl. Part. Phys.

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A new Quasiparticle Random Phase Approximation approach is presented.The corresponding ground state is variationally determined and exhibits a The random phase approximation (RPA) and its quasiparticle (qp) generalization (QRPA) are powerful tools for describing the collective degrees of freedom of many-fermion systems in various branches of physics like nuclear physics, solid state, plasma physics, atomic clusters.Usually the RPA and QRPA are presented by making use of boson expansion techniques.If the one body transition operator is expressed linearly in bosons, the many body Hamiltonian with the two body interaction included becomes a quadratic polynomial in bosons 1

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Fundamental nuclear structure symmetries in double-beta decay processes

Civitarese

Springer Tracts in Modern Physics

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Abstract. The nuclear structure physics of double beta decay transitions is reviewed, starting from the consideration of fundamental symmetries of the nuclear many-body problem. The problems found in the use of the quasiparticle random phase approximation (QRPA) and related approximations, in dealing with the calculation of nuclear double beta decay observables, are understood in terms of the mixing between isospin collective and intrinsic variables. I n t r o d u c t i o nYears ago (1988) John Vergados did in fact point out to a number of us that the understanding of the nuclear-structure physics which governs nuclear double beta decay transitions was still a challenging matter and that the currently accepted explanations were in his opinion not very satisfactory. He was indeed right and after ten years the subject remains a hot one, attracting the attention of a very distinguished community of theoretical and experimental groups. I would like to present in this chapter some answers to John's questions as my very modest tribute to his life-long efforts in the fascinating field of the interface between particle and nuclear physics. 2S p o n t a n e o u s a n d D y n a m i c a l B r e a k i n g o f M e a n -F i e l d S y m m e t r i e s i n t h e p n -Q R P A a n d t h e D e s c r i p t i o n o f D o u b l e -B e t a D e c a y T r a n s i t i o n sThe motivations for this part of the present work are the breakdown of the isospin symmetry, at the level of the quasiparticle mean-field approximation, and its partial restoration by effective interactions, at the QRPA level of approximation. The method upon which the discussion is based has been used to define effective symmetry-breaking two-body interactions and it has been applied previously to particle-number and rotational-symmetry violations. We shall also consider the connection between the present approach and the proton-neutron QRPA method with renormalized two-particle interactions. The formalism of the quasiparticle random phase approximation has been used rather intensively and with great success during four decades since the

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Single- and double-beta decay Fermi transitions in an exactly solvable model

Cited by 42 publications

References 32 publications

Effects of the ground state correlations on the structure of vibrational states

Effects of the ground state correlations on the structure of vibrational states

Quasiparticle random-phase approximation with an optimal ground state

Fundamental nuclear structure symmetries in double-beta decay processes

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