XIV International Conference on Hadron Spectroscopy

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XIV International Conference on Hadron
Spectroscopy
Exotic gifts of nature
J. Vijande University of Valencia (Spain) A.
Valcarce, T. F. Caramés (U. Salamanca)
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1980 - 2000
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Motivation New open-charm and charmonium mesons
2800
DsJ mesons
Ds1 (2458)
DsJ (2317)
2600
DK
2400
D0K
)
Open-charm mesons
V
e
M
(

E
2200
2000
1800



2
0
0
1
1


J.V., A.V. et al, Phys. Rev. D73, 034002 (2006)
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Charmonium
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Further evidences light baryons
The effect of the admixture of hidden flavor
components in the baryon sector has also been
studied. With a 30 of 5q components a larger
decay width of the Roper resonance has been
obtained. 10 of 5q components improves the
agreement of the quark model predictions for the
octet and decuplet baryon magnetic moments. The
admixture is for positive parity states and it is
postulated. D. Riska et al., Nucl. Phys. A791,
406-421 (2007)
From the spectroscopic point of view one would
expect the effect of 5q components being much
more important for low energy negative parity
states (5q S wave)
S. Takeuchi et al., Phys. Rev. C76, 035204 (2007)

• L(1405) 1/2, QM 1500 MeV (L(1520) 3/2)
• ? 3q (0s)20pgt ? 5q(0s)5gt
• 0 QCM SpNKL?ud ? No resonance found
• , ? ? 0 ? A resonance is found

OGE
T.-S.H. Lee et al., Phys. Rev. C 61,
065203(2000) E. Oset et al., Phys. Rev. Lett. 95,
052301(2005) P. Gonzalez et al., Phys. Rev. C 77,
065213(2008)
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D0(2308)
Y(4660)
X(3940)
X(4260)
Y(3940)
Z(3930)
DsJ(2317)
DsJ(2460)
X(3872)
DsJ(2860)
Z(4430)
X(4160)
DsJ(2317)
Z1(4040)
DsJ(3040)
Y(4350)
Z2(4240)
X(4008)
Etc... May you live in interesting times
How to proceed?
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The gift from nature to hadronic physicists
!!
These states cannot camouflage themselves in the
mesonic jungle
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Solving the Schrödinger equation.


Hyperspherical Harmonics Method
J.V., et al., Phys. Rev. D79, 074010 (2009)

Variational Method

• The simplest system with a nontrivial color
  structure.
• Being formed by identical quarks Pauli principle
  has to be imposed.

J. V., A.V., Symmetry 1, 155 (2009)
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9
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cncn.
4q Energy M1M2 threshold
)
V
e
M
(

J.V., A.V., N. Barnea, Phys. Rev. D79, 074010
(2009)
E
-
-
-
-
-
-
0

1

2

0
1
2
0

1

2

0
1
2
(
2
8
)
(
2
4
)
(
3
0
)
(
2
1
)
(
2
1
)
(
2
1
)
(
2
8
)
(
2
4
)
(
3
0
)
(
2
1
)
(
2
1
)
(
2
1
)
I

1
I

0
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Solving the Lippmann-Schwinger equation for the
two meson system
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• All positive parity channels up to JP2 have
  been analyzed.
• Only one channel, (I) JP (0) 1, is attractive
  enough to be bound.

(I) JP (0) 1
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T. F. Caramés et al., Phys. Lett. B. 699, 291
(2011)
(I) JP (0) 1
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Candidates for observation (QQnn).

• Charm Sector ccnn
• 1 (I) JP (0) 1 ?E 80, 10 MeV ? E
  3800 3865 MeV

• Bottom Sector bbnn
• 1 (I) JP (0) 1 ?E -220, 140 MeV ? E
  10380 10460 MeV
• Decaying weak.
• 2 (I) JP (0) 0 ?E -150, 50 MeV ? E
  10400 10500 MeV
• Decaying electromagnetical.
• 3 (I) JP (1) 3- ?E -140, 120 MeV ? E
  10880 10900 MeV
• Decaying electromagnetical.
• 4 (I) JP (0) 1- ?E -10, 0 MeV ? E
  10550 10560 MeV
• Decaying weak.

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Summary

• There is an increasing interest in hadron
  spectroscopy due to the advent of a large number
  of experimental data in several cases of
  difficult explanation.
• These data provide with the best laboratory for
  studying QCD in the so-called strong limit. We
  have the methods, so we can learn about the
  dynamics.
• Explicit exotic states with flavor components
  not reachable by standard quark-antiquark or
  three quark components are the best states to
  test our understanding of hadron spectroscopy
• Experimentalists Exotic charmed four-quark
  systems may exist if our understanding of the
  dynamics does not hide some information. I hope
  you can answer this question to help in the
  advance of hadron spectroscopy.
• Theorists All theoretical models agree on the
  existence of these kind of exotics. It is
  imperative to provide testable predictions in
  order to discriminate between models/approaches.

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Interacting potentials

• Confinement Linear screened potential
• One-gluon exchange Standard Fermi-Breit
  potential
• Scale dependent as
• Boson exchanges Chiral symmetry breaking
• Not active for heavy quarks

CQC
Parameters determined on the NN interaction and
meson/baryon spectroscopy
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Charm mesons and charmonium
Strange meson
Light mesons
JV et al, J. Phys. G. 31, 481
Bottom mesons and bottomonium
Quarkonia properties at high temperatures
JV et al, Eur. Phys, Jour. A40, 89
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Light baryons
Heavy baryons
JV et al., Phys. Rev. C72, 025206
A. Valcarce et al., Eur. Phy. J. A37, 217
Doubly Heavy baryons
Strange baryons
JV et al., Phys. Rev. D70, 054022
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cccc states
Ligth scalars
N. Barnea et al., Phys. Rev. D73, 054004
JV et al., Phys. Rev. D72, 034025
Dsj
Bsj
JV et al., Phys. Rev. D73, 034002
JV et al., Phys. Rev. D77, 017501
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P. Gonzalez et al.
Pure qqq
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We multiply the interaction between the light
quarks by a fudge factor. This modifies the 4q
energy but not the threshold
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cncn (I0).
J. Vijande et al., Phys. Rev. D79, 074010 (2009)
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• No compact states in the ccnn sector
• One compact state in the ccnn sector

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Solving the Lippmann-Schwinger equation for the
two meson system
(I)
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DD
JPC(I)1(0)
T. Fernández-Caramés et al., Phys. Rev. Lett.
103, 222001 (2009)
JP1 and I1, coupled to J/?? ? ? Repulsive
No charge partners of the X(3872)
diquark-antidiquark