Hadron Elecro-Production with HallD...
Transcript of Hadron Elecro-Production with HallD...
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Hadron Elecro-Production with HallD Generator
Rakitha S. Beminiwattha
Department of Physics, Syracuse University
September 11th, 2015
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 1/16
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Outline
Overview
Hall D Generator
Electro-Production Implementation
Initial Results
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 2/16
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Overview
From Last Meeting : Photo-Production Models Compared
Total Photo-production cross sections from hall D
Total Photo-production cross sections from PDG [1]
Wiser Photo-production cross section summed for all the processes [2]
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Hall D Generator
Hall D Photo-Production Generator
Hall D generator uses various experimental data to generatephoto-production cross sections for photon energies below 3 GeV
It uses modified version of PYTHIA to generate photo-production crosssections for photon energies above 3 GeV
I have not looked at PYTHIA generator in details yet.
Following γ + p+ reactions are considered for photon energies below 3 GeV
1. p+ + π0
2. n + π+
3. p+ + π+ + π−(non − res.)
4. p+ + ρ0
5. ∆++ + π−
6. p+ + π0 + π0
7. n + π+ + π0
8. p+ + η0
9. p+ + π+ + π− + π0
10. n + π+ + π+ + π−
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 4/16
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Hall D Generator
Compare Hall D vs. PDG Compared total cross sections from Hall D event generator and PDG
photo-production cross sections on proton For γ momentum less than 3 GeV it uses combination of different models
including SAID For γ momentum greater than 3 GeV it uses PYTHIA
Figure: Black line : Hall D genertor, Red points : PDG
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 5/16
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Hall D Generator
From Photo-Production to Electro-Production
Electro-Production can takes place either from real bremsstrahlung photonradiated in the target or from virtual photon interaction approximated byEquivalent Photon Radiator (EPA) approximation
Wiser generator estimate these two components to compute theelectro-production cross-section
Bremsstrahlung contribution approximated according to MO and TSAI [3] Virtual contribution approximated using the reference [4]
I have implemented electro-production part to the hall D event generator Bremsstrahlung contribution is implemented using equations available at
PDG-2012 [5] and [6] EPA contribution is implemented according to the reference [7]
Next few slide will summarize the electro-production implementation
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 6/16
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Electro-Production Implementation
Electro-Production with Equivalent Photon Approximation
Figure: Electro-Production (a) and Photo-Absorption (b) equivalency [7]
The electro-production cross section for electron energy E using EquivalentPhoton Approximation (EPA),
dσ = σγ(ω) · dn(ω)
dn(ω) =
∫ q2max
q2min
dn(ω, q2) = NEPA(ω)dω
ω
where σγ(ω) is photo-production cross section at photon energy ω and,
NEPA(ω) = α
π
[(
1 −
ω
E+ ω
2
E 2
)
lnq2
max
q2min
−
(
1 −
ω
2E
)2ln
(ω2+q2max )
(ω2+q2min
)−
m2eω
2
E 2q2min
(
1 −
q2min
q2max
)]
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 7/16
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Electro-Production Implementation
Electro-Production with Radiated Real Photons
The Bremsstrahlung cross section for electron of energy E traveling inside amaterial [5]
dσ
dω=
A
X0NAω
(
4
3−
4ω
3E+
4ω2
3E 2
)
The electro-production cross section due to Bremsstrahlung photons,
dσ = σγ(ω) · NBREMS (ω)dω
ω
NBREMS(ω) =d
X0
(
4
3−
4ω
3E+
4ω2
3E 2
)
Where X0 is the radiation length and d = ρ · t where ρ is target density and t istarget thickness
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 8/16
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Electro-Production Implementation
EPA Photon Spectrum
Figure: Photon Spectrum NEPA(ω)
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Electro-Production Implementation
Bremsstrahlung Photon Spectrum
Figure: Photon Spectrum NBREMS(ω)
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Electro-Production Implementation
Complete Photon Spectrum
Figure: Photon Spectrum NEPA(ω) + NBREMS (ω) for electron incident on a proton target
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 11/16
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Electro-Production Implementation
Electro-Production with Hall-D Generator
Photon energy is sampled using electro-production cross section weighteddistribution
11 GeV electron beam (50 µA) is incident into a 40 cm hydrogen target
Figure: Hall D generator now samples the photon energy using electro-production crosssection weighted distribution
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 12/16
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Initial Results
Electro-Production : π0
Figure: π0 Only for θ < 900 and P < 2 GeV . Total cross-section is ∼ 30 µb for thislimited kinematic phase-space
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Initial Results
Pion Background from Different Methods
Figure: Using EPC code (see Michael Paolone’s May 2015 collaboration meeting talk).Total cross section is ∼ 14 µb
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 14/16
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Initial Results
Pion Background from Different Methods
Figure: Using Std. Wiser Generator (see Michael Paolone’s May 2015 collaborationmeeting talk). Total cross section is ∼ 80µb
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 15/16
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Initial Results
Summary
Hall D generator is now configured with electro-production from proton target
Needs to tweakq2
max
q2
min
better : Paul working on this
Initial result match with the EPC code
Cross section to a factor of 2 but not sure EPC results have real photoncontribution
Next immediate step : folding SoLID acceptance into these distribution anddo a rate estimation
Next long term step : implement a proper Geant4 generator based on the hallD generator
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 16/16
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Initial Results
Electro-Production : π0
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 17/16
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Initial Results
Electro-Production : π−
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 18/16
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Initial Results
Electro-Production : π+
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 19/16
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Initial Results
Electro-Production : π0
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 20/16
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Initial Results
Electro-Production : π−
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 21/16
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Initial Results
Electro-Production : π+
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 22/16
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From Last Meeting
Compare Hall D vs. PDG
Compared total cross sections from Hall D low energy event generator and PDGphoto-production cross sections on proton for γ momentum less than 3 GeV
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 23/16
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From Last Meeting
Wiser Photo-Production Cross Section
Wiser cross section,σi(Eγ) is computed for all the processes : π±, K±,P+
and P−
The cross section for π0 is the average of π± cross sections
Then all the cross sections are summed to compute the total wiser crosssection
See slide 27 for steps
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 24/16
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From Last Meeting
Wiser Photo-Production Cross Section
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 25/16
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From Last Meeting
Wiser Photo-Production Cross Section
Figure: Wiser cross section only for 10 deg. to 90 deg.
Rakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 26/16
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Wiser Code Summary
Wiser Code Steps
The main FORTRAN routine returns the differential cross section per
monochromatic photon beam : E′ d3σ
dp′3 /Eγ
Where (E′, p′) is the hadron momentum and Eγ is the incident photon energy
The total cross section for a monochromatic photon beam for ith typeinteraction,
σi(Eγ) =
∫
phase−space
dσi(Eγ)
dp′dΩdp′dΩ
Wheredσi(Eγ)dp′dΩ
= p′2
E′·
(
E′ d3σ
dp′3 /Eγ
)
· Eγ
And subscript i is,
1. i = 0, 1 : π±
2. i = 2, 3 : K±
3. i = 4, 5 : P+ and P−
π0 cross section is the average of π± cross sectionsRakitha S. Beminiwattha SoLID Collaboration Meeting September 11th , 2015 27/16
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Wiser Code Summary
K.A. Olive et al.Review of Particle Physics.Chin.Phys., C38:090001, 2014.
S. Riodan, X. Zheng, Z. Zhao, and N. Ton.Comparison between Wiser π− rates calculation and data from transversityand PVDIS experiments.Internal document, 2014.
L. W. MO and Y. S. TSAI.Radiative corrections to elastic and inelastic ep and up scattering.Rev. Mod. Phys., 41:205–235, Jan 1969.
Min-Shih Chen and Peter Zerwas.Equivalent-particle approximations in electron and photon processes ofhigher-order qed.Phys. Rev. D, 12:187–197, Jul 1975.
J. Beringer et al.Review of particle physics.Phys. Rev. D, 86:010001, 2012.
Yung-Su Tsai.
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Wiser Code Summary
Pair production and bremsstrahlung of charged leptons.Rev. Mod. Phys., 46:815–851, Oct 1974.
V.M. Budnev, I.F. Ginzburg, G.V. Meledin, and V.G. Serbo.The two-photon particle production mechanism. physical problems.applications. equivalent photon approximation.Physics Reports, 15(4):181 – 282, 1975.
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