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Phase-dependent cross sections of deuteron-triton fusion in dichromatic intense fields with high-frequency limit

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Abstract

We investigate the influence of strong dichromatic laser fields (i.e., \(1\omega -2\omega \) and \(1\omega -3\omega \)) with high-frequency limit on the cross sections of deuteron-triton (DT) fusion in Kramers-Henneberger (KH) frame. We focus on the transitions of phase-dependent effects depending on a dimensionless quantity \(n_{\mathrm {d}}\), which equals the ratio of the quiver oscillation amplitude to the geometrical touching radius of the deuteron and triton as defined in our previous research. Theoretical calculations show that the angle-dependent as well as phase-dependent Coulomb barrier penetrabilities can be enhanced in dichromatic intense fields, and the corresponding angle-averaged penetrabilities and the fusion cross sections increase significantly compared with field-free case. Then, we investigate the effects of the two beams with different intensities. Moreover, we find that there are twice shifts of the peak values for the phase-dependent cross sections with the increase of \(n_{\mathrm {d}}\). The reason for the first shift is the angle-dependent effects for sub-barrier fusion, while the second shift is due to the accumulation of over-barrier fusion, these mechanisms are analyzed in detail in this paper.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical study and there are no data associated to it.]

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Acknowledgements

This work was supported by funding from NSAF No. U1930403.

Author information

Authors and Affiliations

  1. Graduate School, China Academy of Engineering Physics, Beijing, 100193, China

    Wenjuan Lv, Binbing Wu & Jie Liu

  2. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China

    Hao Duan

  3. Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China

    Hao Duan

  4. Beijing Computational Science Research Center, Beijing, 100193, China

    Shiwei Liu

Authors
  1. Wenjuan Lv
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  2. Binbing Wu
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  3. Hao Duan
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  4. Shiwei Liu
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  5. Jie Liu
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Corresponding author

Correspondence to Jie Liu.

Additional information

Communicated by A. Diaz-Torres.

Appendix A

Appendix A

In this appendix, by comparison, we present how the average schemes are applied and what are the criteria for the averaging of atomic ionization, alpha decay and present work of DT fusion, respectively.

What we want to address is that DT fusion process is quite different to the alpha decay process as well as the atomic ionization: Even though all these models contain two essential processes of quantum tunneling and classical scattering processes, the time sequences of tunneling and classical scattering for the fusion are reversed comparing with other two models. This property makes the condition for averaged scheme of DT fusion also different.

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Lv, W., Wu, B., Duan, H. et al. Phase-dependent cross sections of deuteron-triton fusion in dichromatic intense fields with high-frequency limit. Eur. Phys. J. A 58, 54 (2022). https://doi.org/10.1140/epja/s10050-022-00697-8

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  • DOI: https://doi.org/10.1140/epja/s10050-022-00697-8

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