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Heavy quark spin in an S wave meson-antimeson state

Hadron Nuclear Physics 2013 @Zhangjiajie. arXiv: 1304.7467 [hep-ph]. Heavy quark spin in an S wave meson-antimeson state. Yan-Rui Liu ( 刘言锐 ) Shandong University, China Jul. 20, 2013. Content. Molecular candidates Heavy quark spin in S-wave meson-antimeson structure

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Heavy quark spin in an S wave meson-antimeson state

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  1. Hadron Nuclear Physics 2013@Zhangjiajie arXiv: 1304.7467 [hep-ph] Heavy quark spin in an S wave meson-antimeson state Yan-Rui Liu (刘言锐) Shandong University, China Jul. 20, 2013

  2. Content • Molecular candidates • Heavy quark spin in S-wave meson-antimeson structure • Strong decays into charmonia • Summary

  3. Molecular candidates • Deuteron: a well-known shallow bound state of proton and neutron (6-quark system) • Tetraquark states or hadronic meson-antimeson molecule? • X(3872): a deuteron-like molecule? • Charged Quarkonium-like mesons: explicitly exotic. Meson-antimeson molecule candidates!

  4. Charged exotic mesons • Z(4430): ’ PRL 100, 142001(2008) [Belle] • Z1(4051), Z2(4250): PRD 78, 072004 (2008) [Belle] • Zb(10610), Zb(10650): PRL 108, 122001 (2012) [Belle] • Zc(3900): J/ 1303.5949 [BESIII], 1304.0121 [Belle], 1304.3036

  5. Charged exotic mesons • More near-threshold heavy quark states? Should be ‘YES’ • A feature for S-wave meson- antimeson picture from heavy quark symmetry ---spin selection rules

  6. Meson-antimeson structure • Heavy quark spin symmetry: OGE irrelevant with heavy quark spin in the limit mQ • Heavy-light meson: conserved in heavy quark limit conserved in decay of meson-antimeson state

  7. Meson-antimeson structure

  8. Meson-antimeson structure • X(3872) as a molecule: only X(3872) suppressed • Other S-wave meson-antimeson states Heavy quark spin selection rule Voloshin, PLB 604, 69 (2004). (not restricted to molecules or resonances)

  9. Meson-antimeson structure Approach: Construct spin wave function  recouple spin wave function  extract information for

  10. Spin wavefunction exchange of two fermions exchange of two bosons

  11. Re-coupled spin wavefunction : spin wavefunction of the pair [......]: state with and : (1) A=B (2) AB but the same doublet (A, B)

  12. Heavy quark spins in various systems (1) A=B (2) AB but the same doublet (A, B) Consistent with

  13. Heavy quark spins in various systems General case: AB

  14. Selection rules when • (a) • (b) if (A,B) is a doublet

  15. Selection rules

  16. Selection rules • (cqq)-baryon doublets (two) singlets: L=0 & L=1 • Baryon-antibaryon case: Adoublet, Bdoublet: same selection rulesAsinglet, Bdoublet: same selection rules Asinglet , Bsinglet:

  17. Strong decays of X into charmonia • Heavy quark spin symmetry: conserved X(3872) Not observed Zc(3900) Not observed If no, a general tetraquark

  18. Strong decays of X into charmonia If Y(3940) is a molecule, c channelJ=0 or 2. A charged state in J/?  J=1 A charged state in J/?  c: J=0 or 2

  19. Strong decays of X into charmonia Z(4430): NO spin-singlet decay if J=0 : J=1 or J=2? :J=0 :J=1 :J=2

  20. Strong decays of X into charmonia J=1: J=2: J=3:

  21. Strong decays of X into charmonia : J=1, 2, or 3? : only for J=2 Large component for J=3

  22. Summary • Two selection rules for in S-wave meson-antimeson states (a) (b) if (A,B) is a doublet • Same rules for S-wave baryon-antibaryon states with the exception for two singlet baryons where • Constraints for strong decays are discussed Thank you!

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