QCD sum rule study of the tensor <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msup> <mml:mi mathvariant="normal">Δ</mml:mi> <mml:mn>0</mml:mn> </mml:msup> <mml:msup> <mml:mi mathvariant="normal">Δ</mml:mi> <mml:mn>0

We study the exotic <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:msup> <a:mi mathvariant="normal">Δ</a:mi> <a:mn>0</a:mn> </a:msup> <a:msup> <a:mi mathvariant="normal">Δ</a:mi> <a:mn>0</a:mn> </a:msup> </a:math> dibaryon state with quantum numbers <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:msup> <e:mi>J</e:mi> <e:mi>P</e:mi> </e:msup> <e:mo>=</e:mo> <e:msup> <e:mn>2</e:mn> <e:mo>+</e:mo> </e:msup> </e:math> within the framework of QCD sum rules. A tensor interpolating current is constructed to determine the mass and residue of this state, including explicit calculations of contributions from quark, gluon, and mixed vacuum condensates up to dimension nine. The numerical analysis yields a mass of <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:msub> <g:mi>m</g:mi> <g:mrow> <g:msup> <g:mi mathvariant="normal">Δ</g:mi> <g:mn>0</g:mn> </g:msup> <g:msup> <g:mi mathvariant="normal">Δ</g:mi> <g:mn>0</g:mn> </g:msup> </g:mrow> </g:msub> <g:mo>=</g:mo> <g:mn>242</g:mn> <g:msubsup> <g:mn>6</g:mn> <g:mrow> <g:mo>−</g:mo> <g:mn>108</g:mn> </g:mrow> <g:mrow> <g:mo>+</g:mo> <g:mn>101</g:mn> </g:mrow> </g:msubsup> <g:mtext> </g:mtext> <g:mtext> </g:mtext> <g:mi>MeV</g:mi> </g:math> and a residue of <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"> <k:msub> <k:mi>f</k:mi> <k:mrow> <k:msup> <k:mi mathvariant="normal">Δ</k:mi> <k:mn>0</k:mn> </k:msup> <k:msup> <k:mi mathvariant="normal">Δ</k:mi> <k:mn>0</k:mn> </k:msup> </k:mrow> </k:msub> <k:mo>=</k:mo> <k:mrow> <k:mo stretchy="false">(</k:mo> <k:mn>2.3</k:mn> <k:msubsup> <k:mn>0</k:mn> <k:mrow> <k:mo>−</k:mo> <k:mn>0.45</k:mn> </k:mrow> <k:mrow> <k:mo>+</k:mo> <k:mn>0.49</k:mn> </k:mrow> </k:msubsup> <k:mo stretchy="false">)</k:mo> </k:mrow> <k:mo>×</k:mo> <k:msup> <k:mn>10</k:mn> <k:mrow> <k:mo>−</k:mo> <k:mn>4</k:mn> </k:mrow> </k:msup> <k:mtext> </k:mtext> <k:mtext> </k:mtext> <k:msup> <k:mrow> <k:mi>GeV</k:mi> </k:mrow> <k:mn>8</k:mn> </k:msup> </k:math> . The predicted mass lies about 38 MeV below the <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"> <q:mn>2</q:mn> <q:msub> <q:mi>m</q:mi> <q:msup> <q:mi mathvariant="normal">Δ</q:mi> <q:mn>0</q:mn> </q:msup> </q:msub> </q:math> threshold, which indicates the possible existence of a bound configuration. Consequently, the tensor <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"> <t:msup> <t:mi mathvariant="normal">Δ</t:mi> <t:mn>0</t:mn> </t:msup> <t:msup> <t:mi mathvariant="normal">Δ</t:mi> <t:mn>0</t:mn> </t:msup> </t:math> dibaryon may serve as a promising candidate for future experimental searches.