Pentaquarks from chiral solitons

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Pentaquarks from chiral solitons
GRENOBLE, March 24
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(No Transcript)
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Baryon states
All baryonic states listed in PDG can be made of
3 quarks only
classified as octets, decuplets and singlets of
flavour SU(3) Strangeness range from S0 to
S-3

• A baryonic state with S1 is explicitely EXOTIC
• Cannot be made of 3 quarks
• Minimal quark content should be ,
  hence pentaquark
• Must belong to higher SU(3) multiplets, e.g
  anti-decuplet

observation of a S1 baryon implies a new large
multiplet of baryons (pentaquark is always
ocompanied by its large family!)
important
Searches for such states started in 1966, with
negative results till autumn 2002
Possible reason searches were for heavy and wide
states
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Theoretical predictions for pentaquarks
1. Bag models R.L. Jaffe 76, J. De Swart
80 Jp 1/2- lightest pentaquark Masses higher
than 1700 MeV, width hundreds MeV
Mass of the pentaquark is roughly 5 M
(strangeness) 1800 MeV An additional q anti-q
pair is added as constituent
2. Soliton models Diakonov, Petrov 84,
Chemtob85, Praszalowicz 87, Walliser
92 Exotic anti-decuplet of baryons with
lightest S1 Jp 1/2 pentaquark with mass in
the range 1500-1800 MeV.
Mass of the pentaquark is rougly 3 M (1/baryon
size)(strangeness) 1500MeV An additional q
anti-q pair is added in the form of excitation
of nearly massless chiral field
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The question what is the width of the exotic
pentaquark In soliton picture has not been
address untill 1997
It came out that it should be anomalously
narrow! Light and narrow pentaquark is expected
-gt drive for experiments D. Diakonov, V.
Petrov, MVP 97
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Q Q Q Q.
Negative results from HERA-B and BES
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What do we know about Theta ?

• Mass 1530 1540 MeV
• Width lt 10-20 Mev, can be even about 1 Mev as
• it follows from reanalysis of K n scattering
  data
• Nussinov Arndt et al. Cahn, Thrilling
• see also talk by W. Briscoe

• Isospin probably is zero CLAS, Saphir, HERMES
• Compatible with anti-decuplet interpretation
• Spin and parity are not measured yet

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Chiral Symmetry of QCD
QCD in the chiral limit, i.e. Quark masses 0
Global QCD-Symmetry ? Lagrangean invariant under
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Unbroken chiral symmetry of QCD would mean That
all states with opposite parity have equal masses
But in reality
The difference is too large to be explained
by Non-zero quark masses
chiral symmetry is spontaneously broken
pions are light pseudo-Goldstone bosons
nucleons are heavy
nuclei exist
... we exist
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Three main features of the SCSB

• Order parameter chiral condensate
• vacuum is not empty !
• Quarks get dynamical masses from the current
• masses of about m5MeV to about M350 MeV
• The octet of pseudoscalar meson is anomalously
• light (pseudo) Goldstone bosons.

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Spontaneous Chiral symmetry breaking
current-quarks (5 MeV) ? Constituent-quarks
(350 MeV)
Particles ? Quasiparticles
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Quark- Model

• Three massive quarks
• 2-particle-interactions
• confinement potential
• gluon-exchange
• meson-exchage
• (non) relativistisc
• chiral symmetry is not respected
• Succesfull spectroscopy (?)

Nucleon
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Chiral Soliton
Nucleon
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Chiral Soliton

• Three massive quarks
• interacting with each other
• interacting with Dirac sea
• relativistic field theory
• spontaneously broken chiral symmetry is full
  accounted

Nucleon
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Quantum numbers
Quantum
Coupling of spins, isospins etc. of 3 quarks
mean field ? non-linear system ? soliton ?
rotation of soliton
Quantum
Natural way for light baryon exotics. Also usual
3-quark baryons should contain a lot of
antiquarks
Coherent 1p-1h,2p-2h,....
Quantum
Quark-anti-quark pairs stored in chiral
mean-field
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Antiquark distributions unpolarized flavour
asymmetry
d-bar minus u-bar
Soliton picture predicts large polarized flavour
asymmetry
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Fock-State Valence and Polarized Dirac Sea
Soliton
Quark-anti-quark pairs stored in chiral
mean-field
Quantum numbers originate from 3 valence quarks
AND Dirac sea !
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Quantization of the mean field
Idea is to use symmetries

• Slow flavour rotations change energy very little
• One can write effective dynamics for slow
  rotations
• the form of Lagrangean is fixed by symmeries
  and
• axial anomaly ! See next slide
• One can quantize corresponding dynamics and get
• spectrum of excitations
• like rotational bands for moleculae

Presently there is very interesting discussion
whether large Nc limit justifies slow rotations
Cohen, Pobylitsa, Klebanov, DPP.....
Tremendous boost for our understanding of
soliton dynamics! -gt new predictions
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SU(3) Collective Quantization
Calculate eigenstates of Hcoll and select those,
which fulfill the constraint
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SU(3) Collective Quantization
Known from delta-nucleon splitting
Spin and parity are predicted !!!
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General idea 8, 10, anti-10, etc are various
excitations of the same mean field ? properties
are interrelated
Example Gudagnini 84
Relates masses in 8 and 10, accuracy 1
To fix masses of anti-10 one needs to know the
value of I2 which is not fixed by masses of 8
and 10
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DPP97
180 MeV In linear order in ms
Input to fix I2
Jp 1/2
Mass is in expected range (model calculations of
I2) P11(1440) too low, P11(2100) too high
Decay branchings fit soliton picture better
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Decays of the anti-decuplet
p,K,h
All decay constants for 8,10 and anti-10 can be
expressed in terms of 3 universal couplings G0,
G1 and G2
In NR limit ! DPP97
Natural width 100 MeV
GQ lt 15 MeV
Correcting a mistake in widths of usual decuplet
one gets lt 30 MeV Weigel, 98Jaffe 03 However
in these analyses gpNN17.5 Model calculations in
ChQSM give 5 MeV Rathke 98
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Where to stop ?
The next rotational excitations of baryons are
(27,1/2) and (27,3/2). Taken literary, they
predict plenty of exotic states. However their
widths are estimated to be gt 150 MeV. Angular
velocities increase, centrifugal forces deform
the spherically-symmetric soliton. In order to
survive, the chiral soliton has to stretch
into sigar like object, such states lie on linear
Regge trajectories Diakonov, Petrov 88
p,K,h
p,K,h
Very interesting issue! New theoretical tools
should be developed! New view on spectroscopy?
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X- -
CERN NA49 reported evidence for X - with mass
around 1862 MeV and width lt18 MeV
For X symmetry breaking effects expected to be
large Walliser, Kopeliovich
Update of p N S term gives 180 Mev -gt 110 MeV
Diakonov, Petrov
Small width of X is trivial consequence of SU(3)
symmetry
Are we sure that X is observed ?
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Non strange partners revisited
N(1710) is not seen anymore in most recent
pN scattering PWA Arndt et al. 03
If Q is extremely narrow N should be also narrow
10-20 MeV. Narrow resonance easy to miss in PWA.
There is a possiblity for narrow N(1/2) at 1680
and/or 1730 MeV Arndt et al. 03
In the soliton picture mixing with usual
nucleon is very important. p N mode is
suppressed, hN and pD modes are enhanced.
Anti-decuplet nature of N can be checked
by photoexcitation. It is excited much
stronger from the neuteron, not from the proton
Rathke, MVP
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Non strange partners revisited
R. Arndt, Ya. Azimov, MVP, I. Strakovsky, R.
Workman 03
Corresponding GQ 1 MeV
DPP 97
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Cancelation due to mixing !
Possible only due to mixing

• Favourable channels to hunt for N from anti-10
• g n-gt h n (p D, KL)
• Strength of photoexcitation from the proton
  target
• is expected to be much smaller than from the
  neuteron!
• A. Rathke, MVP 03

See GRAAL results, V. Kuznetsov, talk on Friday
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Theory Postdictions
Rapidly developing theory gt140 papers gt 2.5
resubmissions per paper in hep
Super radiance resonance
Diamond lattice of gluon strings
Q(1540) as a heptaquark
QCD sum rules, parity - 1
Lattice QCD P-1 or P1, see next talk by T.
Kovacs
di-quarks antiquark, P1, see talk by C. Semay
colour molecula, P1
Constituent quark models, P-1 or P1, review by
K. Maltman
Exotic baryons in the large Nc
limit Anti-charmed Q , and anti-beauty Q Q
produced in the quark-gluon plasma and nuclear
matter SU(3) partners of Q
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Constituent quark models
If one employs flavour independent forces between
quarks (OGE) natural parity is negative, although
P1 possible to arrange
With chiral forces between quarks natural parity
is P1 Stancu, Riska Glozman

• No prediction for width
• Implies large number of excited pentaquarks

Missing Pentaquarks ? (And their families)
Mass difference X -Q 150 MeV
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Diquark model Jaffe, Wilczek
No dynamic explanation of Strong clustering of
quarks
Dynamical calculations suggest large mass
Narodetsky et al. Shuryak, Zahed
JP3/2 pentaquarks should be close in mass
Dudek, Close
Anti-decuplet is accompanied by an octet of
pentaquarks. P11(1440) is a candidate. It is
expected at least 18 (1/2) pentas.
No prediction for width
Mass difference X -Q 200 MeV -gt Light X
pentaquark
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Implications of the Pentaquark

• Views on what hadrons made of and how do they
• work may have fundamentally changed
• - renaissance of hadron spectroscopy
• - need to take a fresh look at what we thought
  we
• knew well.
• Quark model flux tube models are incomplete
  and
• should be revisited
• Does Q start a new Regge trajectory? -gt
  implications
• for high energy scattering of hadrons !
• Can Q become stable in nuclear matter? -gt
  astrophysics?
• Issue of heavy-light systems should be revisited
  (BaBar
• Resonance, uuddc-bar pentaquarks H1 results ).
  It seems that
• the chiral physics is important !

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uuddc pentaquark mass is NOT MQ mc ms like
in QM but rather MQ mc M, i.e. 3000 3200
MeV, 200-300 MeV above QM The point is that
neither c nor qqqq can be hidden in a chiral
excitation
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Summary

• Assuming that chiral forces are essential in
  binding of quarks
• one gets the lowest baryon multiplets
• (8,1/2), (10, 3/2), (anti-10, 1/2)
• whose properties are related by symmetry
• Predicted Q pentaquark is light NOT because it
  is a sum of
• 5 constituent quark masses but rather a
  collective excitation
• of the mean chiral field. It is narrow for
  the same reason
• Where are family members accompaning the
  pentaquark
• Are these well established 3-quark states?
  Or we should
• look for new missing resonances? Or we
  should reconsider
• fundamentally our view on spectroscopy?

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Surely new discoveries are waiting us
around the corner !