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R. A. Schumacher, Carnegie Mellon University ... Different data set, different trigger, different analysis chain. ▫. M. McCracken et al.
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May 31, 2010May 31, 2010 Williamsburg, VAWilliamsburg, VA
“MENU”: Motivation for K Y study in N* resonance physics+ γ^ p^ Æ^ K
Σ^ – single spin results: older and new O, O– beam-recoil: preliminary resultsxz^ C, C– beam-recoil: CLAS measurementsxz^ Electroproduction extension…
(^0) γ n Æ K (^0) Λ,Σ cross sections
^ FROST & HD Ice targets May-31-2010, MENU^
R. A. Schumacher, Carnegie Mellon University
R. A. Schumacher, Carnegie Mellon University Center of mass energy of baryonic system S. Capstick and W. Roberts, Phys. Rev. D
^58 , 074011 (1998).
The Observables: 0
-^ mesons
^ Photoproduction described by 4complex amplitudes ^ Bilinear combinations define 16observables ^ 8 measurements
*^ needed to separate amplitudes at any given energy, W^ ^ differential cross section: d
σ/dΩ
^ 3 single polarization observables: P, T,
Σ
^ 4 double polarization
observables… * W-T. Chiang and F. Tabakin Phys Rev. C 55 2054 (1997)
May-31-2010, MENU^
R. A. Schumacher, Carnegie Mellon University
May-31-2010, MENU^
R. A. Schumacher, Carnegie Mellon University
I. S. Barker, A.I. S. Barker, A. Donnachie
Donnachie, J. K., J. K. Storrow
Storrow,, NuclNucl. Phys. B95 347 (1975).. Phys. B95 347 (1975). Single Polarization^ Single PolarizationBeam & TargetBeam & TargetBeam & RecoilBeam & RecoilTarget & RecoilTarget & Recoil
For^ γ^ + pÆ
R. Bradfordet al. PRC C. Patersonet al. (Glasgow),to be published C. Patersonet al. (Glasgow),to be published
^73 035202 (2006), M. McCracken et al,PRC^^81 , 025201 (2010).J. McNabbet al. PRC
^69^042201 (2004), M. McCracken et al, PR C
^81 , 025201 (2010). R. Bradfordet al. Phys. Rev. C
^75 FroST (g9a) under analysis FroST (g9b) data in 2010 035205 (2007) FroST (g9b) data in 2010FroST (g9a) under analysis
May-31-2010, MENU^
R. A. Schumacher, Carnegie Mellon University
8
γpÆK
+Λ^ Cross Sections
^ Two-bumpstructure seen ^ Resonance-likestructure at1.9 GeV:^ ^ D^13
(Bennhold & Mart)
a ^ P(Bonn-Gachina)^13
b ^ P(Ghent “RPR” model)^11
c ^ KKN bound state(Valencia model)
d ^ Coupled-channeleffects
e (Giessen)
R. Bradfordet al. Phys. Rev. C
73 035202 (2006) K. H. Glander
et al. Eur. Phys. J. A
19 251 (2004) Energy, W (GeV)
a) T, Mart, C. Bennhold, Phys Rev C
^61 , 012201(R) (1999). b) V. Nikanov et al, Phys Lett B
^662 , 245 (2008). c) T. Corthals, et al., PRC
^73 , 045207 (2006). d) A. MartinezTorres, et al.,
Eur. Phys J. A 41,
^361 (2009). e) R. Shyam, O.Scholten & H.Lenske, PRC
^81 , 015204 (2010).
γpÆK
+Λ^ Cross Sections
May-31-2010, MENU^
R. A. Schumacher, Carnegie Mellon University
A695 , 237 (2001). Single-channel BWresonance fits No longer up-to-date
(2005). Multi-channel, unitary,BW resonance fit Large suite of N*contributions Was not predictive forrecoil polarization M. McCracken et al, (CLAS) Phys. Rev. C
^81 , 025201 (2010).
γpÆK
+^0 ΣCross Sections
May-31-2010, MENU^
R. A. Schumacher, Carnegie Mellon University
(Bradford etal.)
γnÆK
−^ +Σon bound neutrons
^ First “complete”look at Yproduction offneutron ^ Deuterontarget, protonspectator, FSI~ 10% ^ Modeled with K
and K*(892) inRegge tra-jectories (noresonances)^ ^ Ghent model,Ryckebuschet al. Hint of back-angle rise
Æ^ u- channelcontribution
Related talk: P. Vancraeyveld: Session 2E May-31-2010, MENU^
R. A. Schumacher, Carnegie Mellon University S. Anefalos Pereira
et al., (CLAS) PhysLett B
^688 , 289 (2010)
Define the Spin Observables
(for target polarization zero)
1 cos 2cos 0 sin 2^
cos cos^ sin 2
cos cos^
x^ cos cos 2
x z x^
x z^
z y^
y
z O^
d
d
γ^ γ γ P
γ
′^
′′ ′ ′ ′^
′ ′^
′
′
−⎧
G
G^
: G^
: G
G γ G Λ ˆ z − π (^) ˆ x ˆ y
proton
K+
G P γ P : May-31-2010, MENU^
R. A. Schumacher, Carnegie Mellon University
14
Polarization comparison May-31-2010, MENU^
R. A. Schumacher, Carnegie Mellon University ^ Naïve SU(6) expectation: ^ True in forward direction ^ False in backward direction
B. Deyet al. (CLAS) to be submitted (2010)
0 P^
P Λ^ −Σ
(^0) Σ Λ
Beam Asymmetry
1 cos 2cos 0 sin 2^
cos cos^ sin 2
cos cos^
x^ cos cos 2
x z x^
x z^
z y^
y
z O^
d
d
γ^ γ γ P
γ
′^
′′ ′ ′ ′^
′ ′^
′
′
−⎧
G
G^
: G^
: G Azimuthal angle w.r.t.beam polarization
G Λ ˆ z − π (^) ˆ x ˆ y
proton
K+
G P γ May-31-2010, MENU^
R. A. Schumacher, Carnegie Mellon University
17
Polarization Transfer for Linear Beam Polarization
1 cos 2cos 0 sin 2^
cos cos^ sin 2
cos cos^
x^ cos cos 2
x z x^
x z^
z y^
y
z O^
d
d
γ^ γ γ P
γ
′^
′′ ′ ′ ′^
′ ′^
′
′
−⎧
G
G^
: G^
: G
G Λ ˆ z − π (^) ˆ x ˆ y
proton
K+
G P γ May-31-2010, MENU^
R. A. Schumacher, Carnegie Mellon University
19
May-31-2010, MENU^
R. A. Schumacher, Carnegie Mellon University
Craig Paterson (Glasgow)
KaonMAID;^
RPR2-Regge only;
RPR2-core;
RPR2-w/D
+1 0 -1^ cos
θ +1 0 -
OPreliminaryx^ cos^ θ
OPreliminaryz^ cos^ θ