Interaction Length A. Murakami

L = (interaction length of proton in carbon by PDG) change of constant : means uncertainty of L (change 0.8, 0.9, 1.0, 1.1, 1.2) Flux is normalized at peak flux.

Normalized There seems to be no difference... Flux × 30 for looking at the tail Flux × 15 for looking at the tail

Ratio of Normalized zoom to 0~2 GeV Diff. less than 3% Diff. less than 5% constant = 1.1, 1.2 vs 1.0

Ratio of Normalized zoom around 0~2 GeV Diff. less than 3% Diff. more than 5% constant = 0.9, 0.8 vs 1.0

Ratio of Normalized zoom around 0~2 GeV constant = 1.2, 1.1 vs 1.0 Diff. less than 2% Diff. less than 3%

Ratio of Normalized zoom around 0~2 GeV constant = 0.9, 0.8 vs 1.0 Diff. less than 2% Diff. less than 5%

Far / Near constant=1.0, 1.1, 1.2 zoom around 0~2 GeV There seems to be no difference...

Far / Near constant=1.0, 0.9, 0.8 zoom around 0~2 GeV There seems to be no difference...

Comparison of Far/Near constant=1.0, 1.1, 1.2 zoom around 0~2 GeV Diff less than 2% Diff less than 3%

Comparison of Far/Near constant=1.0, 0.9, 0.8 zoom around 0~2 GeV Diff less than 2% Diff less than 4%

Out-target/In-target comparison A.Murakami Confirmation of Nicolas’s study

Zoom

Diff between “out” and “total”< 6%

Primary beam profile A. Murakami

Black : nominal beam profile Blue : Flat beam Red : pencil beam Y-Scale × 40

20 ZOOM

21 ZOOM

22 ZOOM

23 ZOOM

Z binning study binning target exit z position A. Murakami 24

25 Simple simulation by either geant3, mars, fluka, geant4 …… Target is just a 90cm, 2.6cm-diameter rod. Vector information of particles just exit the target is output. Normal use for model comparison 30GeV proton In jnubeam Generate and trace the track inputted. Vector information Simple simulation by geant3 Target is just a 90cm, 2.6cm-diameter rod. Vector information of particles just exit the target is output. But ‘z’ value is modified to simulate the binning condition. This study 30GeV proton In jnubeam Generate and trace the track input. Vector information ‘one bin’ case

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29 ZOOM

30 ZOOM

Secondary interaction in Horn Aluminum A. Murakami 31

32 Super-KND off-axis Red: remove horn aluminum Black : nominal

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ASSUMED condition (ad hoc) Abs. flux Flux shape Far/ Near Trans. Matrix remakes primaryGfluka v.s. gheisha 35%<10% Sakashita primaryGfluka v.s. K2K- SW 30%10% Sakashita Prod. Point (Z)  z=18cm (  =18/sqrt(12)) 4%3% Murakami Interaction length20%7%4% Murakami Second. Had.prod.Gfluka v.s. gclaor 15%<3% Sakashita Sec. intr. in horn Al20% uncertainty 6% 2% Murakami 30% absorption Out target inter.20% uncertainty 5% 2% Nicolas/Murakami 10~30% out of total Indirect contr. Nicolas Upper number: 0.4<E <1.2GeV region Lower number : E <10GeV Primary interaction Secondary Interaction

Upper number: 0.4<E <1.2GeV region Lower number : E <10GeV Cont’d ASSUMED condition (ad hoc) Abs. flux Flux shape Far/ Near Trans. Matrix remakes Pbeam profileNo profile info.10% 12% 5% Murakami Pbeam position shift Josh Pbeam angle shift Horn alignment Josh Horn current Josh Horn field asym.10%8% Eric Primary Beam Horn