properties of the (1405) via photo- and...
TRANSCRIPT
Properties of the (1405) via Photo- and Electroproduction
Reinhard Schumacher
October 2, 2012, Barcelona, Spain
XI International Conference on Hypernuclear and Strange Particle Physics
R. A. Schumacher, Carnegie Mellon University
Outline /Overview
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Models of the (1405) Hyperon The “Mass Distributions” from CLAS Isospin decomposition: I=0 vs. I=1
(NEW!) Electroproduction of (1405) (no time…)
Y*
K+
p
K
Nature of the (1405)? Dynamically generated resonance, via
unitary meson-baryon channel coupling R. Dalitz & S.F.Tuan, Phys. Rev. Lett. 2, 425 (1959), Ann. Phys. 10, 307 (1960). E. Oset and A. Ramos, Nucl. Phys. A 635, 99 (1998). Very many others…
Quark model genuine three quark state C. G. Wohl, Phys. Lett. B 667 1182 (2008) RPP.... But statement is deleted in (2012) RPP. S. Capstick & N. Isgur, Phys. Rev. D34 2809 (1986).
sub-threshold bound state Y. Akaishi & T. Yamazaki, Phys Rev 65, 044005 (2002).
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Nature of the (1405)? (2) Two-pole, I=0, S=-1, solution to the chiral
unitary scattering problem J.A. Oller, U.-G. Meissner Phys. Lett B 500, 263 (2001). D. Jido, J.A. Oller, E. Oset, A. Ramos, U-G Meissner Nucl. Phys. A 725, 181 (2003).
5-quark cluster model: B. Zou, Nucl. Phys. A 835, 199 (2010). Predicts extra ½- baryon nonet with a * at 1380
Hybrids: udsg, udcg with “active” glue O. Kittel & G. Farrar, hep-ph/0010186(2000); /0580815(2005)
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1 2B c qqq c qq qq q
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Chiral Unitary Approach Chiral perturbation
theory fails in the presence of strong threshold effects
Kij kernel from chiral SU(3) effective meson-baryon Lagrangian
(1405)
K+
p
K-
Leading s-wave I=0 interaction: “Weinberg-Tomozawa” driving term
Off-shell kaon
R. A. Schumacher, Carnegie Mellon University 5HYP11 10-2012 N. Kaiser, P. B. Siegel, W. Weise, Nucl. Phys. A 594, 325 (1995)
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Chiral Unitary Models (example 1)
SU(3) baryons irreps 1+8s+8a combine with 0-
Goldstone bosons to generate:
Two octets and a singlet of ½- baryons generated dynamically in SU(3) limit
SU(3) breaking leads to two S=-1 I=0 poles near 1405 MeV ~1420 mostly KN ~1390 mostly
Possible weak I=1 pole also predicted
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D. Jido, J.A. Oller, E. Oset, A. Ramos, U-G Meissner Nucl. Phys. A 725, 181 (2003)J.A. Oller, U.-G. Meissner Phys. Lett B 500, 263 (2001).
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Chiral Unitary Models (example 2)
+
00
Mass distribution of the “(1405)” predicted to depend on decay channel
Model with I = 0 and I = 1 amplitudes Chiral Lagrangian +
Channel Coupling I() = {0,1} – not in an
isospin eigenstate Neglect I=2
Interference between I=0 and I=1 amplitudes modifies mass distributions
WT-type interaction: no energy or angle dependence
Inspired CLAS experiment
Invariant Mass (GeV)
d/d
MI(
b/G
ev) 1.7
p KE GeV
2 2(1) (0) (0) (1)* (2)
2 2(1) (0) (0) (1)* (2)
0 02(0) (2)
( ) 1 1 2 Re2 3 6
( ) 1 1 2 Re2 3 6
( ) 1 3
I
I
I
d T T T T O TdM
d T T T T O TdM
d T O TdM
J.C. Nacher, E. Oset, H. Toki, & A. Ramos, Phys. Lett. B 455, 55 (1999). 7HYP11 10-2012 R. A. Schumacher, Carnegie Mellon University
Hadronic Beam Experiments Berkeley bubble chamber
Discovery: M. Alston et al., Phys. Rev. Lett. 6, 698 (1961).
Brookhaven bubble chamber Line shape hints: D. W. Thomas et al., Nucl. Phys. B56, 15 (1973).
CERN bubble chamber One charge combo: R. J. Hemingway, Nucl. Phys. B253, 742 (1985).
COSY/ANKE Only I. Zychor et al., Phys. Lett. B660 167 (2008).
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K p
0p K
K p
0 0 0( )pp pK pK p
Photon Beam Experiments LEPS/SPring-8
Differing line shapes J. K. Ahn et al., Nucl Phys A721, 715 (2003).
LEPS/SPring-8 Differing line shapes M Niiyama et al., Phys Rev C78, 035202 (2008).
CLAS / Jefferson Lab – this talk
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p K
R. A. Schumacher, Carnegie Mellon University
CLAS Experiment
Jefferson Lab, Newport News, VA, USA PhD work of KEI MORIYA, currently at
Indiana University g11a data set, 2004
LH2 target unpolarized tagged photon beam well studied: ~5 papers so far 20x109 trigger 1.41x106 Y* events
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R. A. Schumacher, Carnegie Mellon University
Getting the three final states:
p(0) - 52% 440k
+(n) - 48% 316k
+ -(n) + 338k
0 0 ( 0) 76k 33%
33%
33%
+p K++ (1405)
+p K*+,0+ 0,+ Subtracted incoherently bin by bin using Monte Carlo model
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Quark model expectation: equally-strong decays to each of three states, with Breit-Wigner mass distributions
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CLAS
Events
Selecting in n
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Using 1-C kinematic fit
Events in Final State
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Note K* overlap: must be subtracted in some W bins
Removing the K* Incoherently
line shape data for worst case overlap at W=2.2 GeV
No significant change in result, despite very “wide” K* removal: no coherence seen
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Scaling away the (1385)
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(1405)
(1385)
(1385) has small branching ratiointo the final state that we want
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CLAS Result for Line Shape
Decay-channel asymmetry of (1405) line shape confirmed Line shapes are not Breit-Wigner and depend on charge Subtracted backgrounds: (1385), (1520), K*(892) Status: Final results
00
+
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All W & All Line Shapes
Full and final CLAS data setHYP11 10-2012 R. A. Schumacher, Carnegie Mellon University 18
Isospin Interference
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K+
Y*p
3 =,
Final state
Three charge combinations:
Cross Sections
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K+
Y*p
pp,q
Fully differential d
Factorized 3-body phase space(m)
Angle & mass differential
Angle integrated
pK+
Line Shapes
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Single amplitude, I
Breit-Wigner line shape
For a single decay mode “1” = “” in isospin state Iand c.m. momentum q1, use
Width (with L0)
Flatté Channel-Coupling
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For a second decay mode “2” = “ ” in isospin state I and c.m. momentum q2, use
Below mode “2” threshold, analytically continue the amplitude to preserve unitarity
Below
Above
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Isospin Decomposition
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t0 to only – pretty good fit t0A , t0B to only – two amplitudes; very good t0A , t0B to all – very poor, as expected t0A , t0B , t1 to all – good! t0 , t1A
, t1B to all – best! showing this one
Separate {, , } into I=0 and I=1 amplitude contributions
Roster of fits to all data in nine W bins
Example at W=2.40 GeV
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I=1 contributions
I=0 contribution withthreshold break
0 0
Details…
Use MINUIT with 34 parameter, 1130 data points across all W’s
Best fit has 2 = 2.12
All isospin amplitude shapes are the SAME in ALL bins of W; only C(W) varies with W
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W dependence of CI(W)
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Smooth variations I=0 dominant but
falls off I=1 total is ~half
as big as I=0 and stays about constant
“Best Fit” Isospin Decomposition
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I=0 centroid fitted to threshold Flatte effect big; pulls high-point to ~1405MeV Two I=1 amplitudes give best fit Parameter uncertainties hard to compute accurately
Theory Connections I=0 is dominant
Centroid is well below 1405, close to threshold Some models expect I=0, JP= ½- near this low mass
Ramos
Oller
Flatté line shape is evident - channel-coupling is large Support for “two-pole” picture
Hyodo
I=1 is not small Possible support of I=1, JP= ½- low-mass states
Oller and Meissner again (see above)
Possible connection with 5-quark model of baryon excitations Zou
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Summary/Conclusion
CLAS has provided highest statistics look at all three mass distributions in photoproduction on the proton,
Clear need for I=0 and I=1 separation at all W, especially nearer threshold,
Amplitude fits show: I=0 ‘(1405)’ centroid near threshold I=1 strength centered near 1391 and 1411 MeV Channel-coupling effects evident in all decays
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