A Classic Thesis Style - Johannes Gutenberg-Universität Mainz

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82 conclusions cm [nb/sr] dσ v / dΩ K cm [nb/sr] dσ v / dΩ K 600 500 400 300 200 100 600 500 400 300 200 100 0 MAMI SAPHIR (Q 2 = 0) CLAS (Q 2 = 0) K-Maid original K-Maid extended K-Maid reduced Saclay-Lyon p(e,e’K + )Λ 0 0.2 0.4 0.6 0.8 1 cm cos θK MAMI SAPHIR (Q 2 = 0) CLAS (Q 2 = 0) K-Maid original K-Maid extended K-Maid reduced Saclay-Lyon p(e,e’K + )Σ o 0 0.2 0.4 0.6 0.8 1 cm cosθK Figure 50: Differential cross sections of kaon electroproduction scaled to the center of the experimental acceptance at 〈Q 2 〉 = 0.036 (GeV/c) 2 , 〈W〉 = 1750 MeV and 〈ε〉 = 0.4. The MAMI data is compared to variants of the K-Maid model [68] (see appendix A for discussion on the variations) and the Saclay-Lyon model [26]. The model predictions were averaged in Q 2 between 0.030–0.045 (GeV/c) 2 and in W between 1740–1760 MeV. The photoproduction cross sections at Q 2 = 0 are from the SAPHIR experiment at W = 1757 MeV [69] and from the CLAS experiment at W = 1745–1755 MeV [43, 70]. From [71].
cm [nb/sr] dσ v / dΩ K 1500 1000 500 0 MAMI SAPHIR (Q 2 =0) CLAS (Q 2 =0,W=1.665) CLAS (Q 2 =0,W=1.675) K-Maid original K-Maid reduced Saclay-Lyon K-Maid orig.G3P13=0 p(e,e’K + )Λ 0 0.2 0.4 0.6 0.8 cm cos θK conclusions 83 Figure 51: Angular dependence of the total electroproduction cross section for the K + Λ channel at Q 2 = 0.05 GeV 2 , W = 1.67 GeV, and ɛ = 0.54. The original K-Maid, two versions of K-Main reduced, and SL models are shown in comparison with SAPHIR and CLAS data. The latter are shown for two energies 1.665 and 1.675 GeV. An energy dependence is apparent from their relative systematical shift. In the reduced version of KM "K-Maid orig.G3P13=0" only the longitudinal coupling for the N*(1720) resonance was switched off. It can be seen that this makes the main effect of the longitudinal reduction. Behavior of the cross section from the original KM is strange as it has besides the huge magnitude also the opposite angular dependence than the data suggest. Fig. 50 shows the measured differential cross-sections in angular bins for the two reaction channels. The data was scaled to the center value of the W and Q 2 acceptances by weighting each bin yield with an scaling function f(Q 2 , W), defined as the ratio of the predicted Saclay Lyon cross-section and its central value. As explained in chapter 3 this procedure allows the use of the full data sample at each cosθ ∗ bin, at the price of introducing an small model dependence considered as a systematic error. Predictions of three versions of Kaon- Maid and the standard Saclay-Lyon models, explained in chapter 1, are shown for comparison. When compared with photoproduction data from SAPHIR and CLAS collaborations (also included in the plots), a remarkably good agreement is found. The almost flat angular dependence for Σ production and the increasing trend observed for the Λ channel are clearly mimicked by the electroproduction data. The original Kaon-Maid model is excluded with high confidence, describing the other three models the qualitative aspects of the data reasonably well. The reduced Kaon-Maid predicted curve seems to systematically underestimate the actual cross-section for Λ channel, but overestimate it for the Σ channel. Error bars do not allow to make further statements concerning Saclay Lyon and Kaon-Maid reduced model, since both seem to agree
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M E A S U R E M E N T O F T H E U N
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A B S T R A C T The new stage of th
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C O N T E N T S i kaon electroprodu
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Part I K A O N E L E C T R O P R O
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4 introduction Lorentz invariance.
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6 introduction appear in the K + Λ
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8 introduction there was almost no
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10 introduction This allows us to w
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12 introduction K ¡p γ ∗ Λ(Σ
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14 introduction means of the isobar
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16 introduction amount of resonance
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18 introduction photo and electropr
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20 introduction 1.6 previous experi
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22 introduction Figure 9: Total cro
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E X P E R I M E N TA L S E T U P A
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2.3 target 27 Figure 11: Schematic
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2.4 kaos spectrometer 2.4 kaos spec
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132 theoretical background where σ
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134 theoretical background by showi
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136 theoretical background With thi
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138 bibliography [16] J. C. David,
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140 bibliography [44] M. Bockhorst
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142 bibliography [71] P. Achenbach
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144 bibliography [98] S. Nozawa and
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146 bibliography Figure 24 Spek B d
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Figure 73 Annealing at 80° of the
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A Classic Thesis Style - Johannes Gutenberg-Universität Mainz

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