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I=1 heavy-light tetraquarks and the Υ (mS)→ Υ (nS) ππ puzzle

I=1 heavy-light tetraquarks and the Υ (mS)→ Υ (nS) ππ puzzle. Francisco Fernández. Instituto de Física Fundamental y Matemáticas University of Salamanca. Multiquark structures in heavy-light meson systems. Meson structure is a few-body problem. Outline. ► Motivations ► the model

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I=1 heavy-light tetraquarks and the Υ (mS)→ Υ (nS) ππ puzzle

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  1. I=1 heavy-light tetraquarks and the Υ(mS)→Υ(nS)ππ puzzle Francisco Fernández Instituto de Física Fundamental y Matemáticas University of Salamanca

  2. Multiquark structures in heavy-light meson systems Meson structure is a few-body problem

  3. Outline ► Motivations ► the model ►DsJ mesons ►The Υ(mS)→Υ(nS)ππ puzzle

  4. Motivations

  5. cs   qqqq − − P(qq)=+1 Why four quarks configuration? − → L=1 Jπ=0+,1+ P( s )=-1 L=0 →

  6. the model

  7. Constituent Quark Model • Generalization to heavy flavours of the original SU(2)F model developed in J. Phys. G19 2013 (1993) • Basic ingredients • Chiral symmetry is spontaneously broken at some momentum scale provinding a constituent quark mass M(q2) for the ligth quarks • As a consecuence light constituent quarks exchange Goldstone bosons • Both light and heavy quarks interacts besides by gluon exchange • Finally both type of quarks are confined by a two body linear potential screened at large distancies due to pair creation Details can be found in J. of Phys. G: Nucl. Part Phys. 31 1-26

  8. Constituent Quark Model • N-N interaction • F. Fernández, A. Valcarce, U. Straub, A. Faessler. J. Phys. G19, 2013 (1993) • A. Valcarce, A. Faessler, F. Fernández. Physics Letters B345, 367 (1995) • D.R. Entem, F. Fernández, A. Valcarce. Phys. Rev. C62 034002 (2000) • B. Juliá-Diaz, J. Haidenbauer, A. Valcarce, and F. Fernández. Physical Review C 65, 034001, (2002) • Baryon spectrum • H. Garcilazo, A. Valcarce, F. Fernández. Phys. Rev. C 64, 058201, (2001) • H. Garcilazo, A. Valcarce, F. Fernández. Phys. Rev. C 63, 035207 (2001) • Meson spectrum. • L.A. Blanco, F. Fernández, A. Valcarce. Phys. Rev. C59, 428 (1999) • J. Vijande, F. Fernández, A. Valcarce. J. Phys. G31, (2005) http://web.usal.es/~gfn/menu_i.htm

  9. Deuteron Triton NN phase shifts

  10. qq system

  11. The QCD OGE diagram with point-like quarks gives Nonrelativistic approximation Solve the Schrödinger equation in the two- and four-body systems Constituent Quark Model Ligth quarks Heavy quarks

  12. Meson spectra (I) Light I=1

  13. Meson spectra (II) Light I=0

  14. Meson spectra (III) Kaons

  15. Meson spectra (IV) Charmonium

  16. Meson spectra (VI) Bottomonium

  17.  qqqq system

  18. Numerical techniques z + y r x • The two-body problem is solved using the Numerov algorithm. • The four-body problem (two particles and two antiparticles) is solved by means of a variational method. • Three main difficulties: • Non-trivial color structure. • Symmetry properties in the radial wave function (Pauli Principle) • Two- and four-body mixing.

  19. Non-trivial color structure. 1 2! Four-Body formalism • Symmetry properties in the radial wave function (Pauli Principle) We expand the radial wave function in terms of generalized gaussians with • Well defined permutation properties • (SS, AA, AS, SA). • L= 0 (relative angular momenta li 0) • Positive parity

  20. Two- and four-body mixing Four-Body configurations.

  21. DsJ mesons

  22. DSJ*(2317) BaBar: PRL 90, 242001 (2003) • Narrow peak in DS0. JP=0+ I=0 favored. • Width consistent with the detector resolution, less than 10 MeV. • Mass near 2317 MeV, 40 MeV below DK threshold.

  23. DSJ(2460) • Narrow peak in D*S0, and also observed inDS. JP=1+ favored. • Width consistent with the detector resolution, less than 8 MeV. • Mass close to 2460 MeV, below D*K threshold. CLEO: PRD 68, 032002 (2003)

  24. Open charm sector

  25. ←

  26. The Υ(mS)→Υ(nS)ππ puzzle

  27. Most of the tetraquark resonances are coupled to pairs     qbqb qcqc  qq Isolate resonances ? I=1 Heavy light tetraquarks They exist?

  28.    qbqb10,06GeV. qcqc3,66GeV.

  29.  X(qbqb) Υ(mS)→Υ(nS)ππ →

  30. Υ(1S) 9,460 GeV. Υ(2S) 10,023 GeV Υ(3S) 10,335 GeV. Υ(4S) 10,580 GeV. →

  31. Υ(2S) →Υ(1S)ππ Υ(3S) →Υ(1S)ππ Υ(3S) →Υ(2S)ππ

  32.  qbqb10,06GeV. mX=10.08 GeV. Guo et al NPA 761 269

  33. ←

  34. SUMMARY • We have analyzed the meson spectra using two- and four-quark states within a model which has also been applied to the NN interaction and the hadron phenomenology. • We have observed that to describe the open-charmed heavy-light meson sector (D and DS) it is necessary to go beyond the conventional quark-antiquark models including other components, as for instance four quark components. • We have shown that they are several indication of isolated I=1 tetraquark resonances J. Vijande, A. Valcarce University of Salamanca

  35. End

  36. compare with _ Dipion Transitions in cc Y(4260) CLEO-c Y(4260) → J BaBar X(3872) → J CLEO-c(3770) → J BES(3682) → J → X(3872) (3682) (3770) hep-ex/0602034 PRD 71 (2005) 071103 PRL 96(2006) 082004 hep-ex/9909038 FPCP 2006

  37. Motivations Most of the mesons fits nicely in a pattern where they have quantum numbers of quark-antiquark bound states. However this simple and succesfull picture is difficult to apply to the Jπ=0+ scalar meson sector. Apparently scalar are different

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