Addendum to: Fully-heavy tetraquarks in the vacuum and in a hot environment

Abstract Very recently, the CMS Collaboration reported the first measurement of quantum numbers of the recently discovered family of fully-charmed tetraquark states. The parity P and charge conjugation C symmetries are found to be $$+1$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> . The more favorable spin J of these exotic states is $$J=2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>J</mml:mi> <mml:mo>=</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> . In light of these new results, in this addendum we present an extension of our recent work [Eur. Phys. J. C 85, 783 (2025)] to include new predictions for the $$J^{PC} = 2^{++}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mi>J</mml:mi> <mml:mrow> <mml:mi>PC</mml:mi> </mml:mrow> </mml:msup> <mml:mo>=</mml:mo> <mml:msup> <mml:mn>2</mml:mn> <mml:mrow> <mml:mo>+</mml:mo> <mml:mo>+</mml:mo> </mml:mrow> </mml:msup> </mml:mrow> </mml:math> S -wave tetraquarks, which were not part of our first analysis. Our results show a reasonable agreement with the new experimental data reported by CMS.