Exploring the Ground-State Bands of Doubly Even 166Hf Nucleus

Introduction

Key Findings of the Study

Researchers applied Sood’s semi-empirical formula (SSEF) to predict rotational energy levels of the 166Hf nucleus. Key highlights include:

  • The calculated rotational energy values closely match experimental data.
  • The J(J+1) rule governs rotational energy bands, showing slight deviations in higher spin states.
  • The study confirms the 166Hf nucleus follows rotational spectrum behavior, with increasing nuclear moment of inertia affecting energy distribution.

Theoretical Framework

The research builds upon the Bohr and Mottelson collective model, which describes nuclear deformation and rotational energy levels. Using phenomenological fitting, the study applies correction terms to the standard rotational formula:EJ=AJ(J+1)−BJ2(J+1)2E_J = A J(J+1) – B J^2(J+1)^2EJ​=AJ(J+1)−BJ2(J+1)2

where the rotational parameter (A) is inversely proportional to the moment of inertia (ℑ).

Implications in Nuclear Physics

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Further Exploration

  • Explore related studies on even-even Hafnium isotopes in nuclear spectroscopy.

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