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Lifetimes and Transition Probabilities in $N = 76 ^{130}Xe$

D. Kumar, S. Basak, A. Pal, D. Banerjee, S. S. Alam, S. Rajbanshi, T. Bhattacharjee

Abstract

Lifetimes for the ${4}_1^+$ and ${6}_1^+$ states have been directly measured using $γ-γ$ fast timing technique for low lying states of $^{130}Xe$, populated from $β^-$ decay of the parent $^{130}I$ produced through $^{nat}U(α,f)$ reaction at $E_α~=~40~MeV$. VENTURE array comprising of eight fast CeBr$_3$ detectors is used for lifetime measurement. The reduced transition probabilities deduced from the measured lifetimes have been compared with theoretical values obtained from the large basis shell model calculation and the interacting boson approximation (IBM) calculation.

Lifetimes and Transition Probabilities in $N = 76 ^{130}Xe$

Abstract

Lifetimes for the and states have been directly measured using fast timing technique for low lying states of , populated from decay of the parent produced through reaction at . VENTURE array comprising of eight fast CeBr detectors is used for lifetime measurement. The reduced transition probabilities deduced from the measured lifetimes have been compared with theoretical values obtained from the large basis shell model calculation and the interacting boson approximation (IBM) calculation.

Paper Structure

This paper contains 6 sections, 6 equations, 5 figures, 3 tables.

Table of Contents

  1. Introduction
  2. Experiment
  3. Data Analysis and Results
  4. Discussion
  5. Summary
  6. Acknowledgment

Figures (5)

  • Figure 1: (Color online) The CeBr$_3$ (blue, solid) and Clover (red, dash-dot-dot) total projections obtained from CeBr$_3$-CeBr$_3$ and CeBr$_3$-Clover coincidence data, respectively. This was used to identify the de-exciting $\gamma$ lines from excited levels of Xe fission products detected in CeBr$_3$ and Clover detectors of the VENTURE setup. The Clover detector spectrum is obtained after Compton suppression which is absent in case of CeBr$_3$ spectrum resulting in large Compton background in the data (blue solid line). The significant difference between the two spectra at low energy is contributed by the interdetector Compton scatterings.
  • Figure 2: (a) Prompt Response Difference (PRD) curve obtained for the present experimental setup, showing the time-walk distribution as a function of $\gamma$-ray energy using a $^{152}$Eu source. (b) Residuals of the PRD fit are shown, with the $3\sigma$ deviation indicated by the dot-dashed lines with respect to the dotted line for zero deviation. A $1\sigma$ value of 4 ps has been considered as the PRD uncertainty ($\delta$PRD) for estimating the error in the measured level lifetime.
  • Figure 3: The GCD analysis for the ${6}_1^+$ level of $^{130}$Xe is shown. (a) and (b) show the energy gates corresponding to the 418-740 keV cascade from CeBr$_3$-CeBr$_3$ (solid blue) and CeBr$_3$-Clover (dash-dotted red) coincidences; (c) shows the delayed and anti-delayed TACs for the measurement of the centroid difference. (d) and (e) show the background corrections obtained for decay and feeder, respectively.
  • Figure 4: The GCD analysis for the ${4}_1^+$+${6}_1^+$level of $^{130}$Xe is shown. (a) and (b) show the energy gates corresponding to the 418-669 keV cascade from CeBr$_3$-CeBr$_3$ (solid blue) and CeBr$_3$-Clover (dash-dotted red) coincidences; (c) shows the delayed and anti-delayed TACs for the measurement of the centroid difference. (d) and (e) show the background corrections obtained for decay and feeder, respectively.
  • Figure 5: Comparison of the experimentally observed low-lying excited levels of $^{130}$Xe with those calculated using the shell model and IBM approaches.