<p>Inspired by recent research on the <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(p \Omega\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mi mathvariant="normal">Ω</mi> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(p \bar{\Lambda }\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mover accent="true"> <mrow> <mi mathvariant="normal">Λ</mi> </mrow> <mrow> <mo stretchy="false">¯</mo> </mrow> </mover> </mrow> </math></EquationSource> </InlineEquation> systems, we investigate the <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(p \bar{\Omega }\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mover accent="true"> <mrow> <mi mathvariant="normal">Ω</mi> </mrow> <mrow> <mo stretchy="false">¯</mo> </mrow> </mover> </mrow> </math></EquationSource> </InlineEquation> systems within the framework of the quark delocalization color-screening model. Our results indicate that the nucleon–<InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\bar{\Omega }\)</EquationSource> <EquationSource Format="MATHML"><math> <mover accent="true"> <mrow> <mi mathvariant="normal">Ω</mi> </mrow> <mrow> <mo stretchy="false">¯</mo> </mrow> </mover> </math></EquationSource> </InlineEquation> interaction is slightly stronger than the nucleon–<InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\Omega\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Ω</mi> </math></EquationSource> </InlineEquation> interaction, implying a higher likelihood of the <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(p \bar{\Omega }\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mover accent="true"> <mrow> <mi mathvariant="normal">Ω</mi> </mrow> <mrow> <mo stretchy="false">¯</mo> </mrow> </mover> </mrow> </math></EquationSource> </InlineEquation> system to forming bound states. Dynamic calculations show that the <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(p \bar{\Omega }\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mover accent="true"> <mrow> <mi mathvariant="normal">Ω</mi> </mrow> <mrow> <mo stretchy="false">¯</mo> </mrow> </mover> </mrow> </math></EquationSource> </InlineEquation> systems with <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(J^{P}=1^{-}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>J</mi> <mi>P</mi> </msup> <mo>=</mo> <msup> <mn>1</mn> <mo>-</mo> </msup> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(2^{-}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mn>2</mn> <mo>-</mo> </msup> </math></EquationSource> </InlineEquation> form bound states, whose binding energies are deeper than that of the <InlineEquation ID="IEq13"> <EquationSource Format="TEX">\(p \Omega\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mi mathvariant="normal">Ω</mi> </mrow> </math></EquationSource> </InlineEquation> system with <InlineEquation ID="IEq14"> <EquationSource Format="TEX">\(J^{P}=2^{+}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>J</mi> <mi>P</mi> </msup> <mo>=</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> </mrow> </math></EquationSource> </InlineEquation>. The scattering phase shifts and extracted scattering parameters also support the existence of <InlineEquation ID="IEq15"> <EquationSource Format="TEX">\(p \bar{\Omega }\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mover accent="true"> <mrow> <mi mathvariant="normal">Ω</mi> </mrow> <mrow> <mo stretchy="false">¯</mo> </mrow> </mover> </mrow> </math></EquationSource> </InlineEquation> bound states. Additionally, we discuss the behavior of the femtoscopic correlation function for <InlineEquation ID="IEq16"> <EquationSource Format="TEX">\(p \bar{\Omega }\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mover accent="true"> <mrow> <mi mathvariant="normal">Ω</mi> </mrow> <mrow> <mo stretchy="false">¯</mo> </mrow> </mover> </mrow> </math></EquationSource> </InlineEquation> pairs for the first time. Building on the recent experimental progress on the <InlineEquation ID="IEq17"> <EquationSource Format="TEX">\(p\Omega\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mi mathvariant="normal">Ω</mi> </mrow> </math></EquationSource> </InlineEquation> correlation function, future femtoscopic investigations of the <InlineEquation ID="IEq18"> <EquationSource Format="TEX">\(p\bar{\Omega }\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mover accent="true"> <mrow> <mi mathvariant="normal">Ω</mi> </mrow> <mrow> <mo stretchy="false">¯</mo> </mrow> </mover> </mrow> </math></EquationSource> </InlineEquation> system in heavy-ion collisions will be particularly valuable for constraining baryon–antibaryon interactions.</p>

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Prediction of \(p\bar{\Omega }\) states and femtoscopic study

  • Ye Yan,
  • Qi Huang,
  • Qian Wu,
  • Hong-Xia Huang,
  • Jia-Lun Ping

摘要

Inspired by recent research on the \(p \Omega\) p Ω and \(p \bar{\Lambda }\) p Λ ¯ systems, we investigate the \(p \bar{\Omega }\) p Ω ¯ systems within the framework of the quark delocalization color-screening model. Our results indicate that the nucleon– \(\bar{\Omega }\) Ω ¯ interaction is slightly stronger than the nucleon– \(\Omega\) Ω interaction, implying a higher likelihood of the \(p \bar{\Omega }\) p Ω ¯ system to forming bound states. Dynamic calculations show that the \(p \bar{\Omega }\) p Ω ¯ systems with \(J^{P}=1^{-}\) J P = 1 - and \(2^{-}\) 2 - form bound states, whose binding energies are deeper than that of the \(p \Omega\) p Ω system with \(J^{P}=2^{+}\) J P = 2 + . The scattering phase shifts and extracted scattering parameters also support the existence of \(p \bar{\Omega }\) p Ω ¯ bound states. Additionally, we discuss the behavior of the femtoscopic correlation function for \(p \bar{\Omega }\) p Ω ¯ pairs for the first time. Building on the recent experimental progress on the \(p\Omega\) p Ω correlation function, future femtoscopic investigations of the \(p\bar{\Omega }\) p Ω ¯ system in heavy-ion collisions will be particularly valuable for constraining baryon–antibaryon interactions.