Zc decay width in QCD sum rules F

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Zc decay width in QCD sum rules F. S. Navarra University of São Paulo

Zc decay width in QCD sum rules F. S. Navarra University of São Paulo New states in the charmonium spectrum Zc decay width Peñiscola 27/05/2013 Dias, Navarra, Nielsen, Zanetti, ar. Xiv: 1304. 6433

Introduction Before 2003: After 2003: Cornell potential: Schrödinger equation: “Good” quarkonium spectrum States with

Introduction Before 2003: After 2003: Cornell potential: Schrödinger equation: “Good” quarkonium spectrum States with “wrong” masses

Isospin violation: Charged states: (2003) (2007)

Isospin violation: Charged states: (2003) (2007)

Ten years of “bad behavior” * * * (2013) BES-III BELLE CLEO c

Ten years of “bad behavior” * * * (2013) BES-III BELLE CLEO c

New questions What is the structure of the new states ? Meson molecule Tetraquark

New questions What is the structure of the new states ? Meson molecule Tetraquark c Hadro-charmonium c Hybrid

What is the relation between them ? X(3872) must have a charged partner Maiani

What is the relation between them ? X(3872) must have a charged partner Maiani (2005) Z+(4430) is its first radial excitation Maiani (2007) !

Maiani, Polosa, Riquer, ar. Xiv: 0708. 3997 2013 Navarra, Nielsen, Richard, ar. Xiv: 1108.

Maiani, Polosa, Riquer, ar. Xiv: 0708. 3997 2013 Navarra, Nielsen, Richard, ar. Xiv: 1108. 1230

Zc decay width X (3872) < 2. 3 Zc (3900) ~ 50

Zc decay width X (3872) < 2. 3 Zc (3900) ~ 50

Two body decay Phase Space

Two body decay Phase Space

Amplitude A comes from the Lagrangian Example: How do we know the coupling constant

Amplitude A comes from the Lagrangian Example: How do we know the coupling constant ?

Coupling constants in QCD sum rules quarks hadrons

Coupling constants in QCD sum rules quarks hadrons

The OPE side Zc = diquark – antidiquark …

The OPE side Zc = diquark – antidiquark …

Problem: it is very difficult to separate a diquark-antidiquark from a meson-meson current !

Problem: it is very difficult to separate a diquark-antidiquark from a meson-meson current ! Fierz transformation diquarks mesons

Tetraquark has color entanglement. How to enforce it ? Require color exchange during the

Tetraquark has color entanglement. How to enforce it ? Require color exchange during the decay ! Color-connected diagrams

The phenomenological side Insert complete sets of states into Define ?

The phenomenological side Insert complete sets of states into Define ?

Choose the structure: Input numbers: Coupling constant:

Choose the structure: Input numbers: Coupling constant:

Results Maiani (2013) 29 19 4 4 Total width

Results Maiani (2013) 29 19 4 4 Total width

Summary Zc is the charged partner of X (3872) Tetraquark approach reproduces the mass

Summary Zc is the charged partner of X (3872) Tetraquark approach reproduces the mass and the decay width

Ten years of “bad behavior” 2003: X(3872) 2013: Z+(3900)

Ten years of “bad behavior” 2003: X(3872) 2013: Z+(3900)

How to group the new states ? fifties, sixties… Gell-Mann 150 150

How to group the new states ? fifties, sixties… Gell-Mann 150 150

Problem: it is very difficult to separate a diquark-antidiquark from a meson-meson current !

Problem: it is very difficult to separate a diquark-antidiquark from a meson-meson current ! Fierz transformation diquarks mesons

I just know ! I knew !

I just know ! I knew !

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