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<p>We studied the energy partition between two well-separated fission fragments associated with the partition of nucleons owing to quantum entanglement. This is different from most fission models that invoke an explicit statistical partition of excitation energies. The dynamical fission evolution is described within the time-dependent Hartree–Fock+BCS framework. Excitation energies of isotopic fission fragments were obtained using the particle number projection method after the dynamical splitting of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1782_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{238}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>238</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>U. The resulting excitation energies of the light and heavy fragments are consistent with the appearance of sawtooth structures. We found that the pairing correlation strengths have a significant influence on the partition of the excitation energies. Furthermore, the excitation energies of isotopic fragments increase with increasing neutron number, implying the suppression of the production of neutron-rich beams in rare-isotope beam facilities.</p>

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Energy partition between entangled fission fragments

  • 期刊论文

  • 发表日期：

    2025年8月20日

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  • Hao-Yu Shang,
  • Yu Qiang,
  • Jun-Chen Pei

摘要

We studied the energy partition between two well-separated fission fragments associated with the partition of nucleons owing to quantum entanglement. This is different from most fission models that invoke an explicit statistical partition of excitation energies. The dynamical fission evolution is described within the time-dependent Hartree–Fock+BCS framework. Excitation energies of isotopic fission fragments were obtained using the particle number projection method after the dynamical splitting of \(^{238}\) 238 U. The resulting excitation energies of the light and heavy fragments are consistent with the appearance of sawtooth structures. We found that the pairing correlation strengths have a significant influence on the partition of the excitation energies. Furthermore, the excitation energies of isotopic fragments increase with increasing neutron number, implying the suppression of the production of neutron-rich beams in rare-isotope beam facilities.