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Shell Model

A geometry for the shell model

A geometry for the shell model

... In this contribution matrix elements of the nucleon–nucleon interaction between shell-model states are studied from a geometric point of view. An approach of this kind goes back to the seminal study of Schi ...

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Collectivity in Heavy Nuclei in the Shell Model Monte Carlo Approach

Collectivity in Heavy Nuclei in the Shell Model Monte Carlo Approach

... Collective states populate the low-energy spectra of many heavy nuclei and are generally well de- scribed by phenomenological models. However, a microscopic description of nuclear collectivity within the ...

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Level densities of heavy nuclei in the shell model Monte Carlo approach

Level densities of heavy nuclei in the shell model Monte Carlo approach

... The SMMC method is a powerful method to calculate statistical and collective properties of nuclei in very large model spaces in the presence of correlations. We discussed recent applications of the method in heavy ...

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Projected shell model for Gamow-Teller transitions in heavy, deformed nuclei

Projected shell model for Gamow-Teller transitions in heavy, deformed nuclei

... (spherical) shell model (SM) [5, 9, ...the shell model, which diagonalizes the matrix of an e ff ective Hamiltonian in a chosen model space spanned by the Slater determinants of valence ...

10

Interrelations between the pairing and quadrupole interactions in the microscopic Shell Model

Interrelations between the pairing and quadrupole interactions in the microscopic Shell Model

... microscopic shell model was pre- sented in ...SU(3) model were defined as different phases of the microscopic shell model and the phase transitions be- tween theme were investigated by ...

6

Stochastic estimation of level density in nuclear shell-model calculations

Stochastic estimation of level density in nuclear shell-model calculations

... nuclear shell-model calculations is ...the shell-model Hamiltonian matrix, we perform the contour integral of the matrix element of a ...

8

Reduced order model feedback control design: numerical implementation in a thin shell model

Reduced order model feedback control design: numerical implementation in a thin shell model

... cylindrical shell model incorporating piezoceramic actuators. This shell paradigm is not an essential feature of our investigations; it does, however, provide a convenient 2-D example for which the ...

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Neutrinoless Double-Beta Decay and Realistic Shell Model

Neutrinoless Double-Beta Decay and Realistic Shell Model

... no shell-model codes, at present, able to handle three-body transition operators, we derive a density-dependent two-body operator from the three-body one by summing and averaging over one incoming and ...

5

Phases and phase transitions in the algebraic microscopic shell model

Phases and phase transitions in the algebraic microscopic shell model

... shell-model space to spatial and spin-isospin part. Then, we investigate the dynamical symmetries that reduce the spatial part to the angular momentum L algebra SO(3). These reductions are predetermined by ...

6

Shell model description for some nuclei around double magic nucleus 132Sn

Shell model description for some nuclei around double magic nucleus 132Sn

... Experimental levels are available to 5.324 MeV excitation energy and spin (14 - ) for this nucleus. Comparison of the calculated levels with experimental data (Saleem et al., 2004) presented in table (3). The levels {1 - ...

5

Tensor optimized shell model using bare interaction for light nuclei

Tensor optimized shell model using bare interaction for light nuclei

... We have developed a method to calculate nuclear ground state by using the bare interaction in the tensor optimized shell model (TOSM+UCOM). We have treated the tensor interaction in terms of TOSM, in which ...

9

The Shell Model of the Universe: A Universe Generated from Multiple Big Bangs

The Shell Model of the Universe: A Universe Generated from Multiple Big Bangs

... Standard Model of the Universe using rather complicated mathematical ...The Shell Model of the Universe was developed to provide a new, alternative framework for interpreting astronomical ...

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Recent developments of the projected shell model based on many-body techniques

Recent developments of the projected shell model based on many-body techniques

... The difficulty to describe the above phenomena in a shell-model framework lies in the procedure of computing the overlap matrix elements [4] between arbitrary multi- qp states. Since the involved overlap ...

6

The application of thin wall shell model in plate problem of syntactic foams

The application of thin wall shell model in plate problem of syntactic foams

... the shell model of Kirchhoff-Love. This model equals to an arch that meets plane’s assumption in the case of strain plane, and only has positive strain along with the direction of tangent (shown in ...

8

Spectral Fluctuations in A=32 Nuclei Using the Framework of the Nuclear Shell Model

Spectral Fluctuations in A=32 Nuclei Using the Framework of the Nuclear Shell Model

... The fluctuation properties of nuclear energy spectrum are obtained via two statistical measures: the nearest-neighbors level spacing distribution P s ( ) and the Dyson-Mehta or ∆ 3 statistics [4, 24]. The staircase ...

6

Translational invariant shell model for Λ hypernuclei

Translational invariant shell model for Λ hypernuclei

... The distinctive structure of the s −1 s Λ hypernuclear state influences strongly its decay properties. Calculations for s −1 s Λ states require careful treatment of center-of- mass, e.g. Translation Invariant Shell ...

6

Shell-model calculations for upper pf-shell nuclei with an effective interaction

Shell-model calculations for upper pf-shell nuclei with an effective interaction

... Due to the enormous complexity of the nuclear systems and the lack of the complete and exhaustive knowledge of the strong nucleon-nucleon potential, there are variety of methods and models developed during the years for ...

6

Realistic shell model and nuclei around 132Sn

Realistic shell model and nuclei around 132Sn

... servation of the zero-neutrino double-β decay. For this nu- cleus, whose β decay properties are shown in [12], we shall report the results of a more complete calculation, with ef- fective transition operators derived ...

6

Recent shell-model results for exotic nuclei

Recent shell-model results for exotic nuclei

... the shell model, one of the most successful nuclear-structure models in light to medium-heavy mass regions ...the shell structure— are known to be subject to modification [2, 3, ...so-called ...

8

Realistic shell model description of beta decay

Realistic shell model description of beta decay

... The calculation of nuclear matrix elements (NMEs) responsible for the 0νββ decay has been tackled in the framework of several theoretical approaches, as the quasi- particle random-phase approximation, the interacting bo- ...

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