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Stelson model for fusion reactions of \(^{9}\hbox {Be}\) on \(^{169}\hbox {Tm}\), \(^{181}\hbox {Ta}\), \(^{187}\hbox {Re}\) and \(^{197}\hbox {Au}\)

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Abstract

Fusion cross section data for \(^{9}\hbox {Be}\) projectile on \(^{169}\hbox {Tm}\), \(^{181}\hbox {Ta}\), \(^{187}\hbox {Re}\) and \(^{197}\hbox {Au}\) targets have been analyzed using the Stelson model. The threshold (lowest) barriers obtained from the fit to the data have been compared with the ones calculated starting from the projectile/target neutron separation energy (\(\hbox {S}_{n}\)) values. The respective direct reaction cross sections, viz., neutron transfer, non-capture breakup and incomplete fusion have been added to the corresponding fusion cross sections, to obtain the reaction cross sections for the above systems. The Stelson model cross section expression has also been used to fit the reaction cross section data. It has been found that while the threshold barrier for fusion is related to the \(\hbox {S}_{n}\) of the target, the corresponding barrier from the reaction data is connected to the \(\hbox {S}_{n}\) (breakup energy) of the projectile.

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Data Availability Statement

This manuscript has no associated data [Author’s comment: Data is available upon request from the author.]

Code Availability

This manuscript has no associated code/software [Author’s comment: Not applicable.]

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Acknowledgements

SA acknowledges University Grants Commission (UGC) for financial support under the Faculty Recharge Programme and SK acknowledges INSA for the award of senior scientist fellowship.

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Authors and Affiliations

  1. Department of Nuclear Physics, Andhra University, Visakhapatnam, 530003, India

    S. Appannababu

  2. Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai, 400085, India

    V. V. Parkar & V. Jha

  3. Homi Bhabha National Institute, Anushaktinagar, Mumbai, 400094, India

    V. V. Parkar & V. Jha

  4. UM-DAE Centre for Excellence in Basic Sciences, Mumbai, 400098, India

    S. Kailas

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  1. S. Appannababu
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Correspondence to V. V. Parkar.

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Communicated by Alexis Diaz-Torres.

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Appannababu, S., Parkar, V.V., Jha, V. et al. Stelson model for fusion reactions of \(^{9}\hbox {Be}\) on \(^{169}\hbox {Tm}\), \(^{181}\hbox {Ta}\), \(^{187}\hbox {Re}\) and \(^{197}\hbox {Au}\). Eur. Phys. J. A 60, 145 (2024). https://doi.org/10.1140/epja/s10050-024-01364-w

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