Contribution of incomplete fusion to the evaporation residue cross sections in the 30Si+186W reaction
Abstract
The formation of the evaporation residues in the 30Si+186W reaction leading to the compound nucleus 216Ra* has been studied in the framework of the dinuclear system (DNS) model. The capture, complete fusion, quasifission, and incomplete fusion cross sections have been calculated at the collision energies Ec.m.=107.6−172.2MeV by averaging over the orientation angles of the axial symmetry axes of the deformed 30Si and 186W nuclei. The incomplete fusion is considered as the breakup of the DNS with the emission of the α particle from its very mass-asymmetric configuration, which is populated by the nucleon transfer in collisions with large orbital angular momentum. The survival probabilities of the excited 216Ra and of the conjugate nucleus 212Rn formed after the α-particle emission have been calculated using the statistical model. It is shown that the complete fusion is the main source of the evaporation residues at the lower collision energies, while above Ec.m.=128MeV the Rn isotopes formed in the incomplete fusion give more than half of the calculated evaporation residue cross section. The sum of both contributions describes the slow decrease of the measured total evaporation residue cross section at these energies, where the yield of the Ra isotopes decreases by an order of magnitude. The calculation of the de-excitation of 216Ra* with the emission of protons and α particles shows that the contribution of the complete fusion to the cross sections of the isotopes 212Rn and 211Rn is negligible, and these isotopes are formed in the incomplete fusion. The fusion probability calculated for the partial waves ℓ≤30ℏ is about 0.75 in comparison with the value 0.57±0.08 extracted from the experimental data at the same collision energies.
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BibTeX
@misc{kayumov2026contribution,
title = {{Contribution of incomplete fusion to the evaporation residue cross sections in the $^30$Si$+^186$W reaction}},
author = {Bakhodir Kayumov and Avazbek Nasirov},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.17850},
eprint = {2610.17850},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.17850},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Contribution of incomplete fusion to the evaporation residue cross sections in the ^30Si+^186W reaction
AU - Bakhodir Kayumov
AU - Avazbek Nasirov
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.17850
UR - https://arxiv.org/abs/2610.17850
AB - The formation of the evaporation residues in the ^30Si+^186W reaction leading to the compound nucleus ^216Ra^* has been studied in the framework of the dinuclear system (DNS) model. The capture, complete fusion, quasifission, and incomplete fusion cross sections have been calculated at the collision energies E_c.m.=107.6−172.2MeV by averaging over the orientation angles of the axial symmetry axes of the deformed ^30Si and ^186W nuclei. The incomplete fusion is considered as the breakup of the DNS with the emission of the α particle from its very mass-asymmetric configuration, which is populated by the nucleon transfer in collisions with large orbital angular momentum. The survival probabilities of the excited ^216Ra and of the conjugate nucleus ^212Rn formed after the α-particle emission have been calculated using the statistical model. It is shown that the complete fusion is the main source of the evaporation residues at the lower collision energies, while above E_c.m.=128MeV the Rn isotopes formed in the incomplete fusion give more than half of the calculated evaporation residue cross section. The sum of both contributions describes the slow decrease of the measured total evaporation residue cross section at these energies, where the yield of the Ra isotopes decreases by an order of magnitude. The calculation of the de-excitation of ^216Ra^* with the emission of protons and α particles shows that the contribution of the complete fusion to the cross sections of the isotopes ^212Rn and ^211Rn is negligible, and these isotopes are formed in the incomplete fusion. The fusion probability calculated for the partial waves ℓ≤30ℏ is about 0.75 in comparison with the value 0.57±0.08 extracted from the experimental data at the same collision energies.
ER -