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Multiquark States from a QCD sum rule approach with diquark effective fields. Kyungil Kim , Daisuke Jido , Su Houng Lee. June 22 nd , 2012, Tokyo, `Heavy Quark Hadrons at J-PARC 2012’. Based on K. Kim, D. Jido , S.H.Lee PRC 84(2011)025204 - PowerPoint PPT Presentation
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Multiquark States from a QCD sum rule approach with diquark effective fields
Kyungil Kim, Daisuke Jido, Su Houng Lee
June 22nd , 2012, Tokyo, `Heavy Quark Hadrons at J-PARC 2012’
Based on K. Kim, D. Jido, S.H.Lee PRC 84(2011)025204 K. Kim, D. Jido, S.H.Lee in preparation.
Motivation : Di-quark Structures in HadronsSHLee and S.Yasui : EPJ C (2009)
<Diquark inside baryons>
<Quark-antiquark inside mesons>
2/14June 22nd 2012
Diquark Structures and Heavy-quark
<Tetraquark> qq
h h
<H Dibaryon>
<Pentaquark>
ud
h us
ud
su
ds
3/14June 22nd 2012
N*, Θcs, …
<Baryon>q
hq Λ, Ξ, …
Λ Baryons
u d
h
<Current for Λ >
Scalar diquark fieldGauge invariant Lagrangian for diquark field
4/14June 22nd 2012
<Color-spin interaction>
Effective Diquark FieldsGauge invariant Lagrangian for diquark field
The relation between diquark condensate and gluon condensate
5/14
<Propagator of diquark field>
June 22nd 2012
QCDSR with Di-quark fieldsOPE Result
6/14June 22nd 2012
Λ BaryonsDiquark Mass (GeV) Ratio(λ)
0.2 -0.50.3 -0.20.4 -0.013
0.41 0
Parameter Set ( ms=0.12GeV, mΛ =1.115GeV)
7/14June 22nd 2012
Λ Baryons
<Lambda_c sum rule> <Lambda_b sum rule>
8/14June 22nd 2012
Ξ Baryons
<Ξ_c sum rule> <Ξ_b sum rule>
9/14June 22nd 2012
H-dibaryon
10/14
<Theoretical Prediction of H-dibaryon> <Lattice QCD results>
<HAL collaboration>
<H-dibaryon search in STAR at RHIC>
June 22nd 2012
H-dibaryon
11/14
ud
su
ds
u ds
ud s
<Current choice for H-dibaryon>
<Dispersion relation>∼ Spectral Density
June 22nd 2012
OPE Result (up to Dim. 4)
12/14June 22nd 2012
Results in SU(3)(flavor) Sym.
<Borel Curves with various threshold>
13/14June 22nd 2012
Summary & Outlook
14/14
The QCD sum rule approach with diquark fields gives a good result for Λs, Ξs and H-dibaryon.
We can have a diquark mass and condensate values from Lambda.
These parameters give good masses for Lmabda_c and Lambda_b.
In same approach, we can obtain the properties of ‘qs’-di-quark from Ξ_c.
We obtain the mass of H-dibaryon from a QCD sum rule ap-proach with effective diquark fields.
Pentaquarks(N*,Θcs) and tetraquarks(T_cc, T_cb) are also good candidates to apply this approach. (in progress)
June 22nd 2012
Thank you very much!!