Two-photon production of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>f</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math> and <mml:math xmlns

Ascribed as <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>ρ</a:mi><a:mi>ρ</a:mi></a:math> and <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msup><c:mi>K</c:mi><c:mo>*</c:mo></c:msup><c:msup><c:mover accent="true"><c:mi>K</c:mi><c:mo stretchy="false">¯</c:mo></c:mover><c:mo>*</c:mo></c:msup></c:math> molecular states, respectively, isoscalar <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msub><g:mi>f</g:mi><g:mn>0</g:mn></g:msub><g:mo stretchy="false">(</g:mo><g:mn>1500</g:mn><g:mo stretchy="false">)</g:mo></g:math> and <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:msub><k:mi>f</k:mi><k:mn>0</k:mn></k:msub><k:mo stretchy="false">(</k:mo><k:mn>1710</k:mn><k:mo stretchy="false">)</k:mo></k:math> states are expected to have isovector partners, potentially identified as <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:msub><o:mi>a</o:mi><o:mn>0</o:mn></o:msub><o:mo stretchy="false">(</o:mo><o:mn>1450</o:mn><o:mo stretchy="false">)</o:mo></o:math> and <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"><s:msub><s:mi>a</s:mi><s:mn>0</s:mn></s:msub><s:mo stretchy="false">(</s:mo><s:mn>1710</s:mn><s:mo stretchy="false">)</s:mo></s:math>. The predicted dominant decay modes for these two <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:msub><w:mi>a</w:mi><w:mn>0</w:mn></w:msub></w:math> resonances are <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"><y:msub><y:mi>a</y:mi><y:mn>0</y:mn></y:msub><y:mo stretchy="false">(</y:mo><y:mn>1450</y:mn><y:mo stretchy="false">)</y:mo><y:mo stretchy="false">→</y:mo><y:mi>ω</y:mi><y:mi>π</y:mi><y:mi>π</y:mi></y:math> and <db:math xmlns:db="http://www.w3.org/1998/Math/MathML" display="inline"><db:msub><db:mi>a</db:mi><db:mn>0</db:mn></db:msub><db:mo stretchy="false">(</db:mo><db:mn>1710</db:mn><db:mo stretchy="false">)</db:mo><db:mo stretchy="false">→</db:mo><db:mi>ω</db:mi><db:mi>π</db:mi><db:mi>π</db:mi><db:mo>,</db:mo><db:mi>ϕ</db:mi><db:mi>π</db:mi><db:mi>π</db:mi></db:math>. We estimate cross sections for two-photon production of these four resonances within hadronic molecular picture, and demonstrate that SuperKEKB’s luminosity is sufficient for their observation and more precise parameter measurements. Published by the American Physical Society 2024