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Neutrino-induced meson production model for neutrino oscillation experiments Satoshi Nakamura Nuclear Theory Group

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Contents ★ Introduction scattering for neutrino exp. ★ Dynamical coupled-channels (DCC) model for ★ Application of DCC model to

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Near detector Far detector Comparison oscillation m 2 Daya-Bay, RENO, T2K, MINOS, Double-Chooz) Next-generation exp. leptonic CP, mass hierarchy nucleon (nucleus) scattering needs to be understood more precisely Wide kinematical region with different characteristic Combination of different expertise is necessary Collaboration at J-PARC Branch of KEK Theory Center http://j-parc-th.kek.jp/html/English/e-index.html Neutrino flux # of events of nucleus interaction nucleus cross section LBL

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Many nucleon resonances in 2 nd and 3 rd resonance region Resonance region 2nd 3rd Not only 1 production but also … Multi-channel reaction 2 production is comparable to 1 productions (background of proton decay exp.) (MeV) (Data)

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Dealing with multi-channel reaction Unitary coupled-channel model needs to be developed Unitarity is missing in previous models Important 2 production model is missing Previous models for and production are not well tested by data Problems ★ Dynamical coupled-channels model for ★ Application to

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Dynamical Coupled-Channel model for Kamano, Nakamura, Lee, Sato

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Coupled-channel unitarity is fully taken into acount

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DCC analysis of meson production data Fully combined analysis of (W ≤ 2.1 GeV) Fitting ~380 parameters (N* mass, N* MB couplings, cutoffs) to ~ 20,000 data points

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Kamano, Nakamura, Lee, Sato, 2012 Vector current (Q 2 =0) for 1 Production is well-tested by data

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Kamano, Nakamura, Lee, Sato, 2012 Vector current (Q 2 =0) for Production is well-tested by data

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Kamano, Nakamura, Lee, Sato, 2012 Vector current (Q 2 =0) for Production is well-tested by data

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Short Summary DCC model for developed Model has been extensively tested by data reliable vector current to be applied to -scattering Check out JPS monthly magazine next (X 2,3) months for a review

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PCAC-based application of DCC model to forward Kamano, Nakamura, Lee, Sato, PRD 86, 097503 (2012)

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Objectives Set a starting point for full dynamical model … we study only Q 2 =0 here. Relative importance of different channels ( Y..) Comparison with Rein-Sehgal model (in most MC code) reaction, vector and axial currents contribute. For Q 2 =0, only survives. PCAC relation, is used. reaction amplitude is related to reaction amplitude PCAC-based calculation of reaction

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Results SL NN N NN Prediction based on model well tested by data dominates for W ≤ 1.5 GeV becomes comparable to for W ≥ 1.5 GeV Smaller contribution from and Y O (10 -1 ) - O (10 -2 )

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Comparison with Rein-Sehgal model Lower peak of RS model RS overestimate in higher energy regions (DCC model is tested by data)

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Comparison with Rein-Sehgal model

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Summary DCC model for forward via PCAC Prediction based on model well tested by data comparable to for W ≥ 1.5 GeV (first First data-based prediction for Y Comparison with Rein-Sehgal model : Significant difference Full development of dynamical axial current is underway

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BACKUP

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Formalism Cross section for X ( X = ) Q2Q2 CVC & PCAC LSZ & smoothness Finally X is from our DCC model

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Previous models for induced 1 production in resonance region Rein et al. (1981), (1987) ; Lalalulich et al. (2005), (2006) Hernandez et al. (2007), (2010) ; Lalakulich et al. (2010) Sato, Lee (2003), (2005) resonant only + non-resonant (tree-level) + rescattering ( N unitarity)

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Partial wave amplitudes of pi N scattering Kamano, Nakamura, Lee, Sato, 2012 Previous model (fitted to N N data only) [PRC76 065201 (2007)] Real partImaginary part

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Eta production reactions Kamano, Nakamura, Lee, Sato, 2012

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KY production reactions 1732 MeV 1845 MeV 1985 MeV 2031 MeV 1757 MeV 1879 MeV 1966 MeV 2059 MeV 1792 MeV 1879 MeV 1966 MeV 2059 MeV Kamano, Nakamura, Lee, Sato, 2012

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J-PARC proposal πN ππN in high-mass N* region (K. Hicks, K. Imai et al.) There is NO practical data that can be used for testing models for πN ππN above W > 1.5 GeV. For W > 1.5 GeV, πN ππN becomes the dominant process of the πN reactions. (same applied to -scattering) Model for ππN will be essetial piece in MC πN ππN data are essential to develop ππN model Please support the proposal !

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F 2 from RS model

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Spectrum of N* resonances Real parts of N* pole values L 2I 2J PDG 4* PDG 3* Ours Kamano, Nakamura, Lee, Sato,2012

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SL model applied to nucleus scattering 1 production Szczerbinska et al. (2007)

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SL model applied to nucleus scattering coherent production C C C - + C Nakamura et al. (2010)

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Dealing with multi-channel reaction e.g., -induced production Tree-level models S=0 : Adera et al., (2010) S=1 : Rafi Alam et al., (2010), (2012)

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DCC model for reactions For analyzing data to identify nucleon resonances (Baryon spectroscopy) * Well-established meson-exchange mechanism for meson-baryon interactions * Description of nucleon resonance (N*) N B M N* * Unitarity coupled-channels

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Resonance region 2nd 3rd Many nucleon resonances in 2 nd and 3 rd resonance region (MeV)

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