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X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International Workshop on Hadron Physics
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X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

Jan 17, 2016

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Page 1: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

X(3872) production in high energy collisions

University of São Paulo

F.S. Navarra

Introduction : exotic hadrons

Production in pp and AA

XIII International Workshop on Hadron Physics

Page 2: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

What are exotic hadrons ?

What can we learn from them ?

Were they observed ?

Yes ! In many experiments: e+e- , pp, AA (?)

20 new states ! Best known: X(3872) (PDG)

Does the theory (QCD) reproduce the data ?

Lattice QCD: so far, results are inconclusive

QCD Sum Rules: supports the existence of some of these states

Effective Lagrangians: support the existence of some of these states

Quark models: reproduce data but have less predictive power

Mass spectrum and decay width: QCD at low energies

Production: particle production in QCD at high energies.

New hadrons: which are not or states. Multiquark systems !

“Wrong masses” and isospin violating decays

Page 3: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

TetraquarkMeson molecule

cc

X (3872)

It is possible to get the right mass in different approaches !

Page 4: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

X(3872) production

Page 5: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

B factories (BELLE, BABAR) :

B decays

E. Braaten, M. Kusunoki, hep-ph/0404161

Small binding energy

Meson coalescence

Agreement with data !

Meson Molecule

Page 6: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

Tetraquark

S.J. Brodsky, D.S. Hwang, R.F. Lebed, arXiv:1406.7281

Diquark-antidiquark picture

Non-relativistic potential

Agreement with data !

Page 7: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

All approaches work…

QCD sum rules: C.M. Zanetti, M. Nielsen, R.D. Matheus, arXiv:1105.1343

Page 8: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

Proton - Proton

Charm quark pairs generated with PYTHIA

Bignamini et al., arXiv:0906.0882

“Roman model”

Fragmentation into D mesons pairs

Model for weakly binding the D mesons

Problem for the molecular approach !

Result:

(CDF)Proton-proton colliders: Fermilab, LHC

Meson molecule

Page 9: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

Antideuteron production: the test of the roman model!

A. Guerrieri et al., arXiv:1405.7929

Antideuteron

X(3872)

CMS data

Page 10: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

P. Artoisenet, E. Braaten, arXiv:0911.2016

NRQCD plus rescattering in the final state: molecular approach describes the CDF data !

M. Dall’Osso et al., POS (Beauty 2013) 066

Predictions for the LHC :

Page 11: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

Tetraquark

?

Page 12: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

Nothing works…

Page 13: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

nucleus – nucleus

dirty environment (many hadrons produced)deconfined medium: quark-gluon plasma hadron gas phase after reconfinement

New production mechanisms !

More charm from the initial state and new charm from thermal gluon fusion

X from quark coalescence during the phase transition

X from meson-meson fusion in the hadron gas phase

Nucleus - Nucleus

Page 14: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

X(3872)

Quark coalescence during hadronization

Quark coalescence

Cho et al. ExHIC Collab., PRL 106, 212001 (2011) ; PRC 84, 064910 (2011)

Page 15: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

Evolution of the plasma Hadron gasPlasma formation

Charm meson fusion in the final hadron gas phase

Page 16: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

X in a hadron gas

Production Absorption

Cross sections from SU(4) effective Lagrangians

Cho and Lee, arXiv:1302.6381, PRC (2013)

Page 17: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

Cho and Lee, arXiv:1302.6381

gain loss

Time evolution of the X abundance

Page 18: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

Time evolution of the X abundancy

Some processes not included !

Cho and Lee, arXiv:1302.6381

molecule

tetraquark

Page 19: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

Martinez Torres, Khemchandani, Navarra, Nielsen, Abreu, arXiv:1405.7583

Anomalous coupling terms

from QCD sum rules

Bracco, Chiapparini, Navarra, Nielsen, arXiv:1104.2864, Prog. Part. Nucl. Phys. (2012)

?

Page 20: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

Loop diagrams

Divergences regularized by a cut-off: 700 - 1000 MeV

Page 21: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

Fit the tree level calculation to the loop calculation and extract the coupling :

loop

tree

vertex is very important

with

without

Page 22: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

anomalous terms

Page 23: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

without

with

vertex is very important

Page 24: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

is the most important process

Cho and Lee, arXiv:1302.6381

improved

new

Page 25: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

Without form factors With form factors

Form factors

Cho and Lee, arXiv:1302.6381

Page 26: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

Work in progress…

Next: go back to the rate equation with new cross sections !

Page 27: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

We want to use HIC to know the structure of the X

X is produced at the end of the plasma phase by quark coalescence

Quark coalescence is sensitive to the X wave function

In the hadron phase X can be produced and destroyed

EL depend on the internal structure only through the coupling constants

This is described by Effective Lagrangians.

For tetraquarks coupling constants can be calculated with QCD sum rules

Summary

Here we have improved the Effective Lagrangian approach

Page 28: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

Back up slides

Page 29: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.
Page 30: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.
Page 31: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

Absorption is stronger than production

X production X absorption

Page 32: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

pion is the X “killer”

Page 33: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

Page 34: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.
Page 35: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

Photon induced production

V.P. Goncalves and M.L.L. da Silva, arXiv:1405.6640

Page 36: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.

C.~M.~Zanetti, M.~Nielsen and R.~D.~Matheus, arXiv:1105.1343

Page 37: X(3872) production in high energy collisions University of São Paulo F.S. Navarra Introduction : exotic hadrons Production in pp and AA XIII International.