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PreprintarXiv licencearXiv

ECC3: a global model for evaporation residue cross sections in the synthesis of superheavy nuclei

Abstract

We present ECC3, an efficient model for evaporation residue (ER) cross sections in heavy-ion fusion reactions from light systems to superheavy-element synthesis. The ER cross section is factorized into capture, described by the universal empirical coupled channel (ECC2) model; compound-nucleus formation, given by the Zagrebaev-Greiner empirical Fermi function of the charge product; and survival against fission, obtained from a simplified HIVAP-type statistical-decay cascade. The capture sector is inherited unchanged from ECC2 and reproduces 348 measured capture excitation functions with a logarithmic RMSD of 0.29. A single set of model parameters for the formation and survival of compound nuclei is fitted to 60 measured ER excitation functions with the corresponding RMSD of 0.27. About 95\% of both the capture and ER systems are reproduced within a factor of four. Because the fitted parameters are constrained by light, medium-mass and superheavy systems rather than anchored to the measured superheavy region, extrapolation to unmeasured reactions is well controlled. The model also resolves the individual xn channels. It reproduces the measured 3n--5n excitation functions of 19F+188Os and the systematic charge dependence of the maximal channel cross section for 48Ca-, 50Ti- and 54Cr-induced reactions. For the three element-119 reactions 50Ti+249Bk, 54Cr+243Am and 51V+248Cm, it predicts 4n dominance, with maximum cross sections of 13.2 fb, 2.64 fb and 1.56 fb, respectively.

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BibTeX
@misc{wang2026ecc3,
  title = {{ECC3: a global model for evaporation residue cross sections in the synthesis of superheavy nuclei}},
  author = {N. Wang and Y. J. Duan and H. Yao},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.24444},
  eprint = {2610.24444},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.24444},
}
RIS
TY  - UNPB
TI  - ECC3: a global model for evaporation residue cross sections in the synthesis of superheavy nuclei
AU  - N. Wang
AU  - Y. J. Duan
AU  - H. Yao
PY  - 2026
DA  - 2026/10/17
PB  - arXiv
DO  - 10.48550/arxiv.2610.24444
UR  - https://arxiv.org/abs/2610.24444
AB  - We present ECC3, an efficient model for evaporation residue (ER) cross sections in heavy-ion fusion reactions from light systems to superheavy-element synthesis. The ER cross section is factorized into capture, described by the universal empirical coupled channel (ECC2) model; compound-nucleus formation, given by the Zagrebaev-Greiner empirical Fermi function of the charge product; and survival against fission, obtained from a simplified HIVAP-type statistical-decay cascade. The capture sector is inherited unchanged from ECC2 and reproduces 348 measured capture excitation functions with a logarithmic RMSD of 0.29. A single set of model parameters for the formation and survival of compound nuclei is fitted to 60 measured ER excitation functions with the corresponding RMSD of 0.27. About 95\% of both the capture and ER systems are reproduced within a factor of four. Because the fitted parameters are constrained by light, medium-mass and superheavy systems rather than anchored to the measured superheavy region, extrapolation to unmeasured reactions is well controlled. The model also resolves the individual xn channels. It reproduces the measured 3n--5n excitation functions of ^19F+^188Os and the systematic charge dependence of the maximal channel cross section for ^48Ca-, ^50Ti- and ^54Cr-induced reactions. For the three element-119 reactions ^50Ti+^249Bk, ^54Cr+^243Am and ^51V+^248Cm, it predicts 4n dominance, with maximum cross sections of 13.2 fb, 2.64 fb and 1.56 fb, respectively.
ER  -