16O within the Semimicroscopic Algebraic Cluster Model and the importance of the Pauli Exclusion Principle

Hess, Peter O.; Berriel-Aguayo, J. R. M.; Chávez-Nuñez, L. J.

doi:10.1140/epja/i2019-12744-0

Cited by 9 publications

(16 citation statements)

References 44 publications

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“…the spectrum obtained within the SACM and the ACM, respectively, are shown. The agreement to the the experimental known spectrum is quite well for both models (see [12,13]). However, comparing the ACM to the SACM, some differences are clearly visible.…”

Section: Nhωsupporting

confidence: 72%

“…A basic assumption is that the clusters within a nucleus form particular geometrical arrangements and there is a negligible overlap between these clusters. However, as shown in [12,13] the negligence of the PEP leads to serious problems.…”

Section: Introductionmentioning

confidence: 99%

“…However, the main motivation in this contribution is not to get a pefect fit to the spectrum and B(E2) values but rather demonstrate the importance of the PEP and what happens to the structure when the PEP is not considered. The O was investigated within the ACM [10] and within the SACM in [13]. Within the SACM, the Hamiltonian was slightly different from the one in (10).…”

mentioning

confidence: 99%

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The Role of the Pauli Exclusion Principle in Nuclear Physics Models

Berriel-Aguayo

Hess

2020

Symmetry

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The Pauli Exclusion Principle (PEP) is one of the most basic concepts in physics, but also the most difficult to implement in many-fermion systems, which are common in nuclear physics. To investigate the consequences of ignoring the PEP, we discuss several algebraic models in nuclear structure physics, in particular cluster models. Sometimes they tend to ignore the Pauli Exclusion Principle for practical reasons, leading to flawed interpretations. Though at first sight there seems to be an agreement to experiment, often it is due to the limited number of states known experimentally. We discuss several models which include or not the PEP, illustrating through their differences the importance of the PEP. This contribution is also a review of recently published results.

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Section: Nhωsupporting

confidence: 72%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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The Role of the Pauli Exclusion Principle in Nuclear Physics Models

Berriel-Aguayo

Hess

2020

Symmetry

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“…The last group can be divided into the ones which do not satisfy the Pauli Exclusion Principle (PEP), for example [10], and those which do observe the PEP, for example the SACM [11,12]. The importance of satisfying the PEP and the consequences of the PEP not being observed can be found in [13,14]. There is another important line of models able to study the clusterization of nuclei, namely [15,16,17], which uses a Symmetry Adapted basis in reducing the shell model space.…”

Section: Qpts Within the Sacm And Their Signaturesmentioning

confidence: 99%

Quantum Phase Transitions within a nuclear cluster model and an effective model of QCD

Lohr-Robles,

Lopez-Moreno,

Hess

2021

Preprint

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The catastrophe theory is applied to a nuclear cluster model and an effective model for QCD at low energy. The study of quantum phase transitions in the cluster model was considered in an earlier publication, but restricted to spherical clusters and on a semi-classical level. In the present contribution, we include the case of deformed clusters and determine the spectrum numerically as a function of an interaction parameter, where signatures of a quantum phase transition can be seen. It is shown that in this more complicated case, with deformation of the clusters, the catastrophe theory can be applied with some interesting consequences. A further example of a many-body problem is considered, namely an effective model of QCD, which is able to describe the low energy hadron spectrum and, when temperature is introduced, even ratios of particle-antiparticle productions. The catastrophe theory is able to provide useful information on the phase transition from a perturbative to a non-perturbative vacuum. This contributions shows the universal usefulness of catastrophe theory, while more examples of applications to different fields are mentioned in the Introduction.

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“…Very recently, we have started looking at the densities and transition densities of 12 C in the cluster model using gaussian density distributions for the alpha particles in a way similar to that used in Ref. [16].…”

Section: Other Developments: Modeling Reactions In 12 Cmentioning

confidence: 99%

How to determine the shape of nuclear molecules with polarized gamma-rays

Fortunato

2020

SciPost Phys. Proc.

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A method has been recently proposed to establish the geometry of the alpha-cluster arrangement in 12 C making use of polarized gamma-rays. The ratio of intensities of scattered radiation at 90 degrees along and perpendicular to the initial direction of the electric field vector, called depolarization ratio, is a key quantity that allows to underpin the nature of totally symmetric modes of vibrations. This allows to connect with the underlying pointgroup structure and therefore to the geometric shape of the nuclear molecule. This method is reviewed for 12 C and extended to other configurations, such as three unequal clusters and four identical clusters (e.g. 16 O).

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16O within the Semimicroscopic Algebraic Cluster Model and the importance of the Pauli Exclusion Principle

Cited by 9 publications

References 44 publications

The Role of the Pauli Exclusion Principle in Nuclear Physics Models

The Role of the Pauli Exclusion Principle in Nuclear Physics Models

Quantum Phase Transitions within a nuclear cluster model and an effective model of QCD

How to determine the shape of nuclear molecules with polarized gamma-rays

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