The FCC nuclear model

Dallacasa, V.; Cook, Norman D.

doi:10.1007/bf02733846

Cited by 14 publications

(7 citation statements)

References 36 publications

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“…As we have previously reported [37][38][39], the correspondence between the shell and fcc models is found only if the fcc lattice is built around a central tetrahedron of nucleons (the 'doubly magic' 4 He nucleus). So doing, spherically-symmetrical structures arise at the closure of the n-shells of the harmonic oscillator (figure 4 structures at the j -subshells (figure 4(b)), axially-symmetrical planes at the m-subshells (figure 4(c)), etc.…”

Section: Nuclear Structurementioning

confidence: 85%

“…Prompted by theoretical results indicating a spin-and isospin-ordered fcc lattice to be of relatively low energy, we and several others have examined the implications for nuclear structure theory of a nucleon build-up procedure following this lattice (e.g., [33][34][35][36][37][38][39][40][41][42][43]). Although many of the properties of an fcc lattice are qualitatively similar to those of other lattices [42], the fcc lattice is of particular interest because it produces geometrical shells and subshells at numbers of nucleons identical to the shells and subshells of the harmonic oscillator plus spin-orbit coupling model (i.e.…”

Section: Nuclear Structurementioning

confidence: 99%

“…It is also of interest that, with the closure of each shell and subshell in the fcc lattice, there is an increase in symmetry and the average number of two-body bonds per nucleon. These small changes in the symmetries of the lattice are thought to be responsible for the 'magic' stability of certain nuclei [35,37,40].…”

Section: Nuclear Structurementioning

confidence: 99%

See 2 more Smart Citations

Lattice models for quark, nuclear structure and nuclear reaction studies

Cook¹,

Hayashi²

1997

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

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Because of their computational simplicity, lattice models have found various uses in quark, nuclear structure and nuclear reaction (multifragmentation and heavy-ion) studies. However, differences in the mean density of particles among crystal types lead to significantly different properties, indicating that simulations using nucleon lattices should compare several lattice structures. The characteristics of five important lattice groups are discussed and fundamental algorithms are provided.

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Section: Nuclear Structurementioning

confidence: 85%

Section: Nuclear Structurementioning

confidence: 99%

See 1 more Smart Citation

Lattice models for quark, nuclear structure and nuclear reaction studies

Cook¹,

Hayashi²

1997

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

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“…Henceforth, it will be of interest to confront the IPLG model with a wider range of experimental data (in addition to the multifragmentation data) to test whether or not the implications of a 'lattice gas' nuclear texture with a realistic nuclear force can be reconciled with what is known about nuclear spins, binding energies, systematic RMS radial changes, the nucleon mean free path, etc. We have previously pursued these topics within the framework of a face-centred-cubic lattice model [13][14][15][16][23][24][25][26][27][28], but the IPLG model provides 1)-(3) (solid curves). In both cases, the same numbers of lattice sites are employed (5 3 , 6 3 , 7 3 and 8 3 sites populated at 50%).…”

Section: Discussionmentioning

confidence: 99%

Is the lattice gas model a unified model of nuclear structure?

Cook

1999

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

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It is shown that a 50%-occupied 'lattice gas' reproduces the sequence, occupancy and degeneracy of the energy levels of the independent-particle (IP) model due to symmetries inherent to the lattice. Although the lattice gas has thus far been developed solely for simulation of heavy-ion multifragmentation results, the correspondence between the lattice gas and the IP model suggests a convergence of the 'strong-interaction' collective approach and the 'weak-interaction' microscopic approach to nuclear structure theory. This hybrid model is called the 'IP-lattice gas' model.

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“…All these procedures appear remarkable even if the theoretical bases are either not clear or not defined at all. The theories involved for justifying the radionuclide deactivation are different: the biquaternion quantum mechanics proposed by Conte [6], the Giuliano Preparata's hypothesis [7], the Infoton theory by Brillouin [8] and Dirac [9], the Widom and Larsen [10] implemented by Srivastava et al [11], the electronic density increase hypothesis [12], the nuclear lattice model by Dallacasa and Cook [13]. The common background for all these theories is the standard model of particle physics, under strict conditions and absolute observation both of the Minkowski space-time and of local Lorentz invariance.…”

Section: Introductionmentioning

confidence: 99%

The astonishing 63Ni radioactivity reduction in radioactive wastes by means of ultrasounds application

2019

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Nowadays, the radioactive wastes production is certainly one of the main issues along with their storage. The most interesting way to treat them would certainly be the radioactivity reduction. In this paper we show that the 63 Ni radioactivity reduction by ultrasounds is not a violation of the exponential decay law but can be explained by the Deformed Space-Time theory. The cavitation procedure under the DST conditions achieves a radioactivity decrease around 14% in 200 s. Comparing these results with the theoretical ones obtained by the decay law, we earn more than 20 years in the 63 Ni radioactivity decrease. For confirming the data, ICP-MS measurements were performed on cavitated and nocavitated samples: once again, the 14%-difference (with CV 5%) was obtained from the analyses of both samples. Even if the data are not definitive, the new idea is that a radioactive substance can be "normalized" by its transformation into a normal stable one without radiation emission overcoming the traditional approaches (dilution, inertization, radioactive transmutation with fast neutron irradiation) and avoiding the use of large deposits or big reactors. Our results may be considered as starting point to pave the way to new methods to treat useless harmful radioactive substances from nuclear or medicine industry.

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The FCC nuclear model

Cited by 14 publications

References 36 publications

Lattice models for quark, nuclear structure and nuclear reaction studies

Lattice models for quark, nuclear structure and nuclear reaction studies

Is the lattice gas model a unified model of nuclear structure?

The astonishing 63Ni radioactivity reduction in radioactive wastes by means of ultrasounds application

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