Tensor form factors of decuplet hyperons in QCD

Tensor form factors encode essential information about the internal spin structure and tensor dynamics of baryons. In this work, we investigate the tensor form factors of the baryon hyperons <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:msup> <a:mi mathvariant="normal">Ω</a:mi> <a:mo>−</a:mo> </a:msup> </a:math> , <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"> <d:mrow> <d:msup> <d:mrow> <d:mi mathvariant="normal">Σ</d:mi> </d:mrow> <d:mrow> <d:mo>*</d:mo> <d:mo>+</d:mo> </d:mrow> </d:msup> </d:mrow> </d:math> , and <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:msup> <g:mi mathvariant="normal">Ξ</g:mi> <g:mrow> <g:mo>*</g:mo> <g:mo>−</g:mo> </g:mrow> </g:msup> </g:math> within the framework of QCD sum rules. The complete set of tensor form factors is numerically evaluated in the momentum transfer region <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"> <j:mn>0</j:mn> <j:mo>&lt;</j:mo> <j:msup> <j:mi>Q</j:mi> <j:mn>2</j:mn> </j:msup> <j:mo>&lt;</j:mo> <j:mn>10</j:mn> <j:mtext> </j:mtext> <j:mtext> </j:mtext> <j:msup> <j:mi>GeV</j:mi> <j:mn>2</j:mn> </j:msup> </j:math> . In addition, the quark tensor charges of the considered hyperons are extracted in the forward limit. The results provide new nonperturbative insight into the tensor structure and spin content of spin- <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"> <l:mn>3</l:mn> <l:mo>/</l:mo> <l:mn>2</l:mn> </l:math> baryons and offer valuable theoretical input for future phenomenological analyses and experimental studies.