Spectroscopy and decay properties of excited charmonium states

In this work, we investigate the mass spectra of excited charmonia employing a nonrelativistic potential model with screening effect and analyze their two-body strong decays, two-photon decays, leptonic decays, and hadronic transitions. Especially, we find that the newly observed resonances <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>X</a:mi><a:mo stretchy="false">(</a:mo><a:mn>4160</a:mn><a:mo stretchy="false">)</a:mo></a:math>, <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>Y</e:mi><e:mo stretchy="false">(</e:mo><e:mn>4500</e:mn><e:mo stretchy="false">)</e:mo></e:math>, and <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>Y</i:mi><i:mo stretchy="false">(</i:mo><i:mn>4710</i:mn><i:mo stretchy="false">)</i:mo></i:math> can be identified as <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:msup><m:mn>3</m:mn><m:mn>3</m:mn></m:msup><m:msub><m:mi>P</m:mi><m:mn>0</m:mn></m:msub></m:math>, <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:msup><o:mn>3</o:mn><o:mn>3</o:mn></o:msup><o:msub><o:mi>D</o:mi><o:mn>1</o:mn></o:msub></o:math>, and <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:msup><q:mn>4</q:mn><q:mn>3</q:mn></q:msup><q:msub><q:mi>D</q:mi><q:mn>1</q:mn></q:msub></q:math> states, respectively. We also predict the masses and the widths of higher excited states in the charmonia family.