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March 25, 20260 citationsOpen Access

Evidence for tetrahedral structure of Calcium-40

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NMNS Manton

Key Points

  • To classify excited states of the Calcium-40 nucleus into intrinsic tetrahedral structures.
  • Classified over 100 excited states of Calcium-40 into rotational and vibrational bands.
  • Compared states with Oxygen-16 to analyze similarities and differences in vibrational frequencies.
  • Unified previously identified rotational bands into fewer tetrahedral bands.
  • Accommodated almost all observed states below 8 MeV and many above 8 MeV.
  • Identified lower A-mode vibrational frequency compared to E-mode and F-mode in Oxygen-16.
  • Unified bands include states up to spin 16 and energy above 20 MeV.

Abstract

More than 100 excited states of the Calcium-40 nucleus, with isospin 0, are classified into rotational–vibrational bands of an intrinsic tetrahedral structure. Almost all observed states below 8Formula: see textMeV can be accommodated, as well as many high-spin states above 8Formula: see textMeV. The bands have some similarity to those classifying states of Oxygen-16, but the A-mode vibrational frequency is lower relative to the E-mode and F-mode frequencies than in Oxygen-16. Previously identified rotational bands up to spin 16 and energy above 20Formula: see textMeV are unified here into a smaller number of tetrahedral bands.

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Cite This Study

NS Manton (2026) studied this question.

synapsesocial.com/papers/69c37be2b34aaaeb1a67ec3chttps://doi.org/10.17863/cam.126492
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