Coupled-channel J−− meson resonances from lattice QCD

We extend an earlier calculation within lattice QCD of excited light meson resonances with <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msup><a:mi>J</a:mi><a:mrow><a:mi>P</a:mi><a:mi>C</a:mi></a:mrow></a:msup><a:mo>=</a:mo><a:msup><a:mn>1</a:mn><a:mrow><a:mo>−</a:mo><a:mo>−</a:mo></a:mrow></a:msup><a:mo>,</a:mo><a:msup><a:mn>2</a:mn><a:mrow><a:mo>−</a:mo><a:mo>−</a:mo></a:mrow></a:msup><a:mo>,</a:mo><a:msup><a:mn>3</a:mn><a:mrow><a:mo>−</a:mo><a:mo>−</a:mo></a:mrow></a:msup></a:math> at the <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>S</c:mi><c:mi>U</c:mi><c:mo stretchy="false">(</c:mo><c:mn>3</c:mn><c:mo stretchy="false">)</c:mo></c:math> flavor point in the representation, by considering the representation. In this case the resonances appear in coupled-channel amplitudes, which we determine, establishing the relative strength of pseudoscalar-pseudoscalar to pseudoscalar-vector decays. Combining the new octet results with the prior results for the singlet, we perform a plausible extrapolation to the physical quark mass, and compare to experimental <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msubsup><g:mi>ρ</g:mi><g:mi>J</g:mi><g:mo>⋆</g:mo></g:msubsup><g:mo>,</g:mo><g:msubsup><g:mi>K</g:mi><g:mi>J</g:mi><g:mo>⋆</g:mo></g:msubsup><g:mo>,</g:mo><g:msubsup><g:mi>ω</g:mi><g:mi>J</g:mi><g:mo>⋆</g:mo></g:msubsup></g:math> and <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:msubsup><i:mi>ϕ</i:mi><i:mi>J</i:mi><i:mo>⋆</i:mo></i:msubsup></i:math> resonances. Published by the American Physical Society 2024