Born-Oppenheimer Approximation for the XYZ Mesons

By E. Braaten, Christian Langmack, D. Hudson, Smith. 2014

138 citations recorded by the source corpus.

Many of theXY Z mesons discovered in the last decade can be identied as bound states in BornOppenheimer (B-O) potentials for a heavy quark and antiquark. They include quarkonium hybrids, which are bound states in excited avor-singlet B-O potentials, and quarkonium tetraquarks, which are bound states in avor-nonsinglet B-O potentials. We present simple parameterizations of the deepest avor-singlet B-O potentials. We infer the deepest avor-nonsinglet B-O potentials from lattice QCD calculations of static adjoint mesons. Selection rules for hadronic transitions are used to identifyXY Z mesons that are candidates for ground-state energy levels in the B-O potentials for charmonium hybrids and tetraquarks. The energies of the lowest-energy charmonium hybrids are predicted by using the results of lattice QCD calculations to calculate the energy splittings between the ground states of dierent B-O potentials and using the Schroedinger equation to determine the

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7d2f4a68c2af2c564ee7ebc4f31a703cb9d79fe2

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In Nuclear and High Energy Physics

1. Xiang Liu
2. S. Olsen
3. Hua-Xing Chen
4. Wei Chen
5. Shi-Lin Zhu
6. Alessandro Pilloni
7. T. Skwarnicki
8. A. Esposito

Citations in the corpus

• The hidden-charm pentaquark and tetraquark states (2016, methodology): “[638, 639] based on Born-Oppenheimer potentials, and the Born-Oppenheimer approximation was also used in Ref.”
• The XYZ states: Experimental and theoretical status and perspectives (2019, background): “[466, 468], to circumvent this difficulty, it was assumed that the tetraquark static energies have the same shape as the hybrid ones.”
• Multiquark Resonances (2016, methodology): “To extract the spectrum of BO tetraquarks it is assumed in [202, 210] that their potential has the same qualitative behavior as that of QQ̄g hybrids.”
• Nonstandard heavy mesons and baryons: Experimental evidence (2017, background): “7d, which is like hadrocharmonium except with an allowance for the possibility that the QQ̄ core state has non-zero color, has been advocated by Braaten, Langmack and Smith (143; 144).”