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<p>A number of recent references have pointed out that an <i>N</i>-particle system having short-range interactions at <i>S</i>-wave and/or <i>P</i>-wave unitarity can exhibit modified threshold behavior for various reactive processes. But the question of how close to unitarity one must get in order to observe such modifications has not been addressed. The present study quantifies this question by treating cases involving 3- or 4-neutrons, at the physical value of the neutron-neutron singlet scattering length <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(a_{s}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>a</mi> <mi>s</mi> </msub> </math></EquationSource> </InlineEquation> and at artificially altered values. One major conclusion is that the neutron-neutron scattering length is not yet sufficiently large for the 3<i>n</i> or 4<i>n</i> systems to demonstrate the unitarity threshold exponent.</p>

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Observability of Modified Threshold Behavior Near Unitarity

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月6日

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  • Michael D. Higgins,
  • J. Golak,
  • R. Skibiński,
  • K. Topolnicki,
  • H. Witała,
  • H. Kamada,
  • Chris H. Greene

摘要

A number of recent references have pointed out that an N-particle system having short-range interactions at S-wave and/or P-wave unitarity can exhibit modified threshold behavior for various reactive processes. But the question of how close to unitarity one must get in order to observe such modifications has not been addressed. The present study quantifies this question by treating cases involving 3- or 4-neutrons, at the physical value of the neutron-neutron singlet scattering length \(a_{s}\) a s and at artificially altered values. One major conclusion is that the neutron-neutron scattering length is not yet sufficiently large for the 3n or 4n systems to demonstrate the unitarity threshold exponent.