<p>We investigate the <InlineEquation ID="IEq7"> <EquationSource Format="TEX">$DD^$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>D</mi> <msup> <mi>D</mi> <mo>∗</mo> </msup> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq8"> <EquationSource Format="TEX">$D\bar{D}^$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>D</mi> <msup> <mrow> <mover accent="true"> <mrow> <mi>D</mi> </mrow> <mrow> <mo stretchy="false">¯</mo> </mrow> </mover> </mrow> <mo>∗</mo> </msup> </mrow> </math></EquationSource> </InlineEquation> momentum correlation functions in high-energy collisions related to the properties of <InlineEquation ID="IEq9"> <EquationSource Format="TEX">$T_{cc}(3875)^+$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>T</mi> <mrow> <mi mathvariant="italic">cc</mi> </mrow> </msub> <msup> <mrow> <mo stretchy="false">(</mo> <mn>3875</mn> <mo stretchy="false">)</mo> </mrow> <mo>+</mo> </msup> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq10"> <EquationSource Format="TEX">$\chi _{c1}(3872)$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>χ</mi> <mrow> <mi>c</mi> <mn>1</mn> </mrow> </msub> <mrow> <mo stretchy="false">(</mo> <mn>3872</mn> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> exotic hadrons. The two-particle momentum correlation functions can be computed from the interaction between two particles. The one pion exchange interaction model, which is mainly considered as the interaction between two hadrons, is valid for long ranges (<InlineEquation ID="IEq11"> <EquationSource Format="TEX">$>1$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>></mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation> fm). Based on experimental data, we constructed Gaussian potential and Yukawa potential as long-range interaction models. Meanwhile, a short-range interaction between two mesons is constructed from the interquark interaction in the exotic hadron state described in the constituent quark model. We compare the <InlineEquation ID="IEq12"> <EquationSource Format="TEX">$DD^$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>D</mi> <msup> <mi>D</mi> <mo>∗</mo> </msup> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq13"> <EquationSource Format="TEX">$D\bar{D}^$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>D</mi> <msup> <mrow> <mover accent="true"> <mrow> <mi>D</mi> </mrow> <mrow> <mo stretchy="false">¯</mo> </mrow> </mover> </mrow> <mo>∗</mo> </msup> </mrow> </math></EquationSource> </InlineEquation> correlation functions computed for these short- and long-range interactions when <InlineEquation ID="IEq14"> <EquationSource Format="TEX">$T_{cc}(3875)^+$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>T</mi> <mrow> <mi mathvariant="italic">cc</mi> </mrow> </msub> <msup> <mrow> <mo stretchy="false">(</mo> <mn>3875</mn> <mo stretchy="false">)</mo> </mrow> <mo>+</mo> </msup> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq15"> <EquationSource Format="TEX">$\chi _{c1}(3872)$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>χ</mi> <mrow> <mi>c</mi> <mn>1</mn> </mrow> </msub> <mrow> <mo stretchy="false">(</mo> <mn>3872</mn> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> are close to the compact diquark–antidiquark configuration and the meson–meson molecular configuration, respectively. As a result, correlations were greater than 1 with long-range interactions and less than 1 with short-range interactions.</p>

Femtoscopic study of ${DD^}$ and ${D\bar{D}^}$ interactions from the constituent quark model

期刊论文
发表日期：

2025年9月3日

查看全文

Seungju Lee,
Aaron Park,
Jin-Hee Yoon

摘要

We investigate the $DD^*$ $D D^{*}$ and $D\bar{D}^*$ $D {\bar{D}}^{*}$ momentum correlation functions in high-energy collisions related to the properties of $T_{cc}(3875)^+$ $T_{cc} {(3875)}^{+}$ and $\chi _{c1}(3872)$ $χ_{c 1} (3872)$ exotic hadrons. The two-particle momentum correlation functions can be computed from the interaction between two particles. The one pion exchange interaction model, which is mainly considered as the interaction between two hadrons, is valid for long ranges ( $>1$ $> 1$ fm). Based on experimental data, we constructed Gaussian potential and Yukawa potential as long-range interaction models. Meanwhile, a short-range interaction between two mesons is constructed from the interquark interaction in the exotic hadron state described in the constituent quark model. We compare the $DD^*$ $D D^{*}$ and $D\bar{D}^*$ $D {\bar{D}}^{*}$ correlation functions computed for these short- and long-range interactions when $T_{cc}(3875)^+$ $T_{cc} {(3875)}^{+}$ and $\chi _{c1}(3872)$ $χ_{c 1} (3872)$ are close to the compact diquark–antidiquark configuration and the meson–meson molecular configuration, respectively. As a result, correlations were greater than 1 with long-range interactions and less than 1 with short-range interactions.

Femtoscopic study of \({DD^*}\) and \({D\bar{D}^*}\) interactions from the constituent quark model

摘要

Femtoscopic study of \({DD^}\) and \({D\bar{D}^}\) interactions from the constituent quark model