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PreprintCC BY 4.0arXiv

Complexity of Nuclear States for 48Ca

  • L. López-Hernández
  • D. A. Lara Bustillos
  • Carlos E. Vargas
  • V. Velázquez
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Abstract

In complex systems theory, there are different ways to describe a system in terms of information, such as emergence (Shannon entropy), self-organization, and com- plexity. These measures provide information about the dynamic behavior of a complex system. We study the differences in entropy and complexity for many-body systems undergoing a transition from a regular to a chaotic regime. To do this, we analyze the eigenvectors of the 48 Ca nucleus for different quadrupole-type two-body interactions. We obtain the eigenvectors by diagonalizing the two-body Hamiltonian for 48 Ca us- ing the Antoine code. We then calculate the entropy and complexity for the different quadrupole-type interactions. The differences found in information entropy and com- plexity are clear when comparing a regular system with a chaotic one. We find that the complexity of the regular and chaotic states of 48 Ca shows differences associated with its internal interactions.

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Cite

BibTeXRIS
BibTeX
@misc{lopezhernandez2026complexity,
  title = {{Complexity of Nuclear States for 48Ca}},
  author = {L. López-Hernández and D. A. Lara Bustillos and Carlos E. Vargas and V. Velázquez},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.26982},
  eprint = {2609.26982},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.26982},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Complexity of Nuclear States for 48Ca
AU  - L. López-Hernández
AU  - D. A. Lara Bustillos
AU  - Carlos E. Vargas
AU  - V. Velázquez
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.26982
UR  - https://arxiv.org/abs/2609.26982
AB  - In complex systems theory, there are different ways to describe a system in terms of information, such as emergence (Shannon entropy), self-organization, and com- plexity. These measures provide information about the dynamic behavior of a complex system. We study the differences in entropy and complexity for many-body systems undergoing a transition from a regular to a chaotic regime. To do this, we analyze the eigenvectors of the 48 Ca nucleus for different quadrupole-type two-body interactions. We obtain the eigenvectors by diagonalizing the two-body Hamiltonian for 48 Ca us- ing the Antoine code. We then calculate the entropy and complexity for the different quadrupole-type interactions. The differences found in information entropy and com- plexity are clear when comparing a regular system with a chaotic one. We find that the complexity of the regular and chaotic states of 48 Ca shows differences associated with its internal interactions.
ER  -