Rotation effect on the spectral function of heavy vector mesons in holographic QCD

Abstract: Exploring heavy vector mesons of the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>J</a:mi><a:mo>/</a:mo><a:mi>ψ</a:mi></a:math> and <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi mathvariant="normal">ϒ</c:mi><c:mo stretchy="false">(</c:mo><c:mn>1</c:mn><c:mi>S</c:mi><c:mo stretchy="false">)</c:mo></c:math> is crucial for understanding the quark gluon plasma (QGP) formed in heavy ion collisions. The influences of rotational effect on the properties of the <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"><h:mi>J</h:mi><h:mo>/</h:mo><h:mi>ψ</h:mi></h:math> and the <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:mi mathvariant="normal">ϒ</j:mi><j:mo stretchy="false">(</j:mo><j:mn>1</j:mn><j:mi>S</j:mi><j:mo stretchy="false">)</j:mo></j:math> are investigated by incorporating rotation medium into the holographic QCD. It is found that temperature, chemical potential, and rotational radius effects enhance the dissociation process of the <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:mi>J</o:mi><o:mo>/</o:mo><o:mi>ψ</o:mi></o:math> and the <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:mi mathvariant="normal">ϒ</q:mi><q:mo stretchy="false">(</q:mo><q:mn>1</q:mn><q:mi>S</q:mi><q:mo stretchy="false">)</q:mo></q:math> states within the medium. This rotation-induced effect is more significant for heavy vector mesons in the transverse direction than that of the longitudinal direction. The first holographic study on the influence of the radius of a homogeneous rotating system on the vector meson spectrum is proposed. It is found that increasing in rotation radius promotes the dissociation of vector mesons of the <v:math xmlns:v="http://www.w3.org/1998/Math/MathML" display="inline"><v:mi>J</v:mi><v:mo>/</v:mo><v:mi>ψ</v:mi></v:math> and <x:math xmlns:x="http://www.w3.org/1998/Math/MathML" display="inline"><x:mi mathvariant="normal">ϒ</x:mi><x:mo stretchy="false">(</x:mo><x:mn>1</x:mn><x:mi>S</x:mi><x:mo stretchy="false">)</x:mo></x:math>. We also find that the dissociation perpendicular to the direction of rotational angular velocity is more significant than that parallel to it at large rational radius. Published by the American Physical Society 2024