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Comparative Analysis of C2 and C4 Form Factors in Zirconium and Palladium Isotopes: Probing Nuclear Structure with Different Nuclear Potentials
Comparative Analysis of C2 and C4 Form Factors in Zirconium and Palladium Isotopes: Probing Nuclear Structure with Different Nuclear Potentials
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Comparative Analysis of C2 and C4 Form Factors in Zirconium and Palladium Isotopes: Probing Nuclear Structure with Different Nuclear Potentials
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Comparative Analysis of C2 and C4 Form Factors in Zirconium and Palladium Isotopes: Probing Nuclear Structure with Different Nuclear Potentials
Comparative Analysis of C2 and C4 Form Factors in Zirconium and Palladium Isotopes: Probing Nuclear Structure with Different Nuclear Potentials

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Comparative Analysis of C2 and C4 Form Factors in Zirconium and Palladium Isotopes: Probing Nuclear Structure with Different Nuclear Potentials
Comparative Analysis of C2 and C4 Form Factors in Zirconium and Palladium Isotopes: Probing Nuclear Structure with Different Nuclear Potentials
Journal Article

Comparative Analysis of C2 and C4 Form Factors in Zirconium and Palladium Isotopes: Probing Nuclear Structure with Different Nuclear Potentials

2025
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Overview
The C2 and C4 longitudinal form factors for the first excited (21+) and (41+) states in the even-even Palladium isotopes ( 104 Pd, 106 Pd, 108 Pd, 110 Pd) and 90 Zr are compared in this work. We use three different nuclear potentials (Skyrme Sk35, Woods-Saxon (WS), and Harmonic Oscillator (HO)) in our theoretical calculations and compare them with real electron scattering data. The strengths and limits of each potential in explaining the observed form factors for quadrupole and hexadecapole transitions over a variety of nuclei are clarified by this comparison. Our research shows that the Skyrme Sk35 interaction, which suggests a more accurate description of the underlying transition density, often gives the most consistent agreement with experimental data, especially at greater momentum transfers. The observed discrepancies, particularly for C4 transitions and higher momentum transfers, highlight the difficulties in accurately modelling higher multipolarity excitations and point to the need for more sophisticated theoretical treatments that include effects other than simple mean-field descriptions, such as core polarization and meson exchange currents.