Modelling and Systematics of $\tfrac{1}{2}[521]\,ν$ Quasiparticle Rotational Bands in $N = 99,\;101,\;103$ Isotonic Chains
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arXiv
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| Format: | Preprint |
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2025
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| author | Pinky Kumar, Sushil Singh, Sukhjeet Jain, A. K. |
| author_facet | Pinky Kumar, Sushil Singh, Sukhjeet Jain, A. K. |
| contents | We analyze the $\tfrac{1}{2}[521]\,ν$ quasiparticle rotational bands along the $N = 99,\;101,\;103$ isotonic chains using semi-empirical model in which first and higher order Coriolis terms are treated perturbatively. A dedicated Python routine optimizes five parameters bandhead energy, inertia A, decoupling a, and Coriolis coefficients B and C for each nucleus. The calculations match experimental level spacings to within 5 keV. Staggering keeps a common phase across the three chains yet grows with spin and, on average, with both neutron and proton number. The inertia parameter rises smoothly with Z (e.g., A for N = 99: 10.6 to 12.4 keV), signaling a decrease in the moment of inertia as axial deformation weakens. Decoupling parameter a increases and then saturates for N = 99 and 103, indicating purer K = 1/2 structure at high Z; the N = 101 chain shows the opposite trend, pointing to stronger configuration mixing. The first order Coriolis term B becomes increasingly negative with Z, whereas the higher order term C shows chain specific sign changes. The present work, explore the dynamics of various physical parameters associated with ν1/2[521] quasiparticle rotational bands and helps to understand observed signature effects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_05522 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Modelling and Systematics of $\tfrac{1}{2}[521]\,ν$ Quasiparticle Rotational Bands in $N = 99,\;101,\;103$ Isotonic Chains Pinky Kumar, Sushil Singh, Sukhjeet Jain, A. K. Nuclear Theory We analyze the $\tfrac{1}{2}[521]\,ν$ quasiparticle rotational bands along the $N = 99,\;101,\;103$ isotonic chains using semi-empirical model in which first and higher order Coriolis terms are treated perturbatively. A dedicated Python routine optimizes five parameters bandhead energy, inertia A, decoupling a, and Coriolis coefficients B and C for each nucleus. The calculations match experimental level spacings to within 5 keV. Staggering keeps a common phase across the three chains yet grows with spin and, on average, with both neutron and proton number. The inertia parameter rises smoothly with Z (e.g., A for N = 99: 10.6 to 12.4 keV), signaling a decrease in the moment of inertia as axial deformation weakens. Decoupling parameter a increases and then saturates for N = 99 and 103, indicating purer K = 1/2 structure at high Z; the N = 101 chain shows the opposite trend, pointing to stronger configuration mixing. The first order Coriolis term B becomes increasingly negative with Z, whereas the higher order term C shows chain specific sign changes. The present work, explore the dynamics of various physical parameters associated with ν1/2[521] quasiparticle rotational bands and helps to understand observed signature effects. |
| title | Modelling and Systematics of $\tfrac{1}{2}[521]\,ν$ Quasiparticle Rotational Bands in $N = 99,\;101,\;103$ Isotonic Chains |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2508.05522 |