page 1 T Violation in n-A Reactions Neutron Optical Parity and Time-Reversal EXperiment Hirohiko M. SHIMIZU Department of Physics, Nagoya University shimizu@phi.phys.nagoya-u.jp on behalf of the NOPTREX collaboration Title(T Violation in n-A Reactions) Conf(Theoretical Issues and Experimental Opportunities in Searches for Time Reversal Invariance Violation) Date(2018/12/07) At(Amherst)
page 2 Energy Fundamental CP phases TeV QCD gluon self-couplings Muon EDM Neutron eN couplings EDM ( ) nuclear EDMs of nuclei and ions (deuteron, etc) EDMs of paramagnetic molecules EDMs of diamagnetic (YbF, PbO, HfF + ) atoms (Hg,Xe,Ra,Rn) atomic Atoms in traps (Tl,Rb,Cs) Pospelov Ritz, Ann Phys 318 (05) 119 Title(T Violation in n-A Reactions) Conf(Theoretical Issues and Experimental Opportunities in Searches for Time Reversal Invariance Violation) Date(2018/12/07) At(Amherst)
page 3 KEK 2018S12 Neutron Optical Parity and Time Reversal EXperiment NOPTREX Collaboration Energy Fundamental CP phases TeV QCD gluon self-couplings Muon EDM Neutron nucleon eN couplings EDM ( ) nuclear EDMs of nuclei compound state and ions (deuteron, etc) experiment EDMs of paramagnetic enhanced sensitivity in compound nuclei molecules EDMs of diamagnetic (YbF, PbO, HfF + ) atoms (Hg,Xe,Ra,Rn) atomic 45h or 2h to reach nEDM “upper limit” Atoms in traps (Tl,Rb,Cs) Pospelov Ritz, Ann Phys 318 (05) 119 (30d or 1d with existing technologies) Title(T Violation in n-A Reactions) Conf(Theoretical Issues and Experimental Opportunities in Searches for Time Reversal Invariance Violation) Date(2018/12/07) At(Amherst)
page 4 KEK 2018S12 Neutron Optical Parity and Time Reversal EXperiment NOPTREX Collaboration Indiana University Nagoya University W.M.Snow, J.Curole, J.Carini H.M.Shimizu, M.Kitaguchi, K.Hirota, T.Yamamoto, K.Ishizaki, S.Endoh, T.Sato, Y.Niinomi, T.Morishima, G.Ichikawa, Univ. South Carolina Y.Kiyanagi, J.Hisano, N,Wada, T.Matsushita V.Gudkov Kyushu University Oak Ridge National Lab. T.Yoshioka, S.Takada, J.Koga, S.Makise J.D.Bowman, S.Penttila, X.Tong, JAEA T.Okudaira, K.Sakai, A.Kimura, H.Harada P.Jiang KEK Kentucky Univ. T.Ino, S.Ishimoto, K.Taketani, K.Mishima, C.C.Haddock B.Plaster, D.Schaper, C.Crawford Hiroshima Univ. Tokyo Inst. Tech. Univ. British Columbia M.Iinuma H.Fujioka T.Momose Paul Scherrer Institut Osaka Univ. P.Hautle K.Ogata, H.Kohri, M.Yosoi, T.Shima, H.Yoshikawa Southern Illinois University Tohoku Univ. B.M.Goodson M.Fujita RIKEN Univ. California Berkeley Y.Yamagata, T.Uesaka, K.Tateishi, H.Ikegami A.S.Tremsin Yamagata Univ. Ashikaga Univ. Japan Women’s Univ. Berea College T.Iwata, Y.Miyachi D.Takahashi R.Ishiguro M.Veillette Kyoto Univ. Y.I.Takahashi, M.Hino Title(T Violation in n-A Reactions) Conf(Theoretical Issues and Experimental Opportunities in Searches for Time Reversal Invariance Violation) Date(2018/12/07) At(Amherst)
page 5 Compound States P-violation cross section [b] total cross section (E n =0.75eV) p-wave ( l =1) n+ 139 La (E n =0) (E n =-48.6eV) s-wave ( l =0) 5160.902 keV absorption cross section (compound nuclei) 140 La 1eV 1keV 1MeV neutron energy [eV] thermal epithermal fast Title(T Violation in n-A Reactions) Conf(Theoretical Issues and Experimental Opportunities in Searches for Time Reversal Invariance Violation) Date(2018/12/07) At(Amherst)
page 6 Universality Check entrance channel compound state p j=3/2 p-wave p j=1/2 exit channel P s j=1/2 s-wave mostly unknown Title(T Violation in n-A Reactions) Conf(Theoretical Issues and Experimental Opportunities in Searches for Time Reversal Invariance Violation) Date(2018/12/07) At(Amherst)
page 7 compound nuclear spin orbital n spin nuclear spin n entrance spin channel spin s-p interference ⇔ channel-spin interference P-odd T-odd Title(T Violation in n-A Reactions) Conf(Theoretical Issues and Experimental Opportunities in Searches for Time Reversal Invariance Violation) Date(2018/12/07) At(Amherst)
page 8 T-odd ➡ Channel-spin Interference entrance channel compound state p 3/2 p-wave p 1/2 exit channel T s-wave Title(T Violation in n-A Reactions) Conf(Theoretical Issues and Experimental Opportunities in Searches for Time Reversal Invariance Violation) Date(2018/12/07) At(Amherst)
page 9 P-violation angular T-violation momentum factor T-violation in Neutron Optics f = A 0 + B 0 σ · ˆ I + C 0 σ · ˆ I × ˆ k + D 0 σ · ( ˆ k ) Spin Independent Spin Dependent P-violation T-violation P-even T-even P-even T-even P-odd T-even P-odd T-odd T-violating matrix element fake T-odd negligible Gudkov, Phys. Rep. 212 (1992) 77 P-violating matrix element Title(T Violation in n-A Reactions) Conf(Theoretical Issues and Experimental Opportunities in Searches for Time Reversal Invariance Violation) Date(2018/12/07) At(Amherst)
page 10 T-violation in Neutron Optics f = A 0 + B 0 σ · ˆ I + C 0 σ · ˆ I × ˆ k + D 0 σ · ( ˆ k ) Spin Independent Spin Dependent P-violation T-violation P-even T-even P-even T-even P-odd T-even P-odd T-odd fake T-odd negligible Spin Independent Spin Dependent P-violation T-violation P-even T-even P-even T-even P-odd T-even P-odd T-odd D ≠ 0 ➡ D’ ≠ 0 validity of this description can be checked via the consistency among A, B, C Title(T Violation in n-A Reactions) Conf(Theoretical Issues and Experimental Opportunities in Searches for Time Reversal Invariance Violation) Date(2018/12/07) At(Amherst)
page 11 Polarization Transfer Coefficient Analyzing Power and Polarization Title(T Violation in n-A Reactions) Conf(Theoretical Issues and Experimental Opportunities in Searches for Time Reversal Invariance Violation) Date(2018/12/07) At(Amherst)
page 12 Energy Fundamental CP phases (1) theory TeV QCD gluon self-couplings Muon EDM Neutron eN couplings EDM ( ) nuclear EDMs of nuclei and ions (deuteron, etc) (2) theory EDMs of paramagnetic molecules EDMs of diamagnetic V.P.Gudkov (YbF, PbO, HfF + ) atoms (Hg,Xe,Ra,Rn) atomic Atoms in traps (Tl,Rb,Cs) Pospelov Ritz, Ann Phys 318 (05) 119 nucleon nuclear theory (3) done via likelihood analysis resonance parameters compound state (4) (n, γ ) measurement done for 139 La experiment Title(T Violation in n-A Reactions) Conf(Theoretical Issues and Experimental Opportunities in Searches for Time Reversal Invariance Violation) Date(2018/12/07) At(Amherst)
page 13 (1), (2) Estimation in Effective Field Theory Y.-H.Song et al., Phys. Rev. C83 (2011) 065503 T-odd P-odd meson couplings ~ Title(T Violation in n-A Reactions) Conf(Theoretical Issues and Experimental Opportunities in Searches for Time Reversal Invariance Violation) Date(2018/12/07) At(Amherst)
page 14 (1), (2) Estimation in Effective Field Theory Gudkov, Phys. Rep. 212 (1992) 77 Flambaum, Phys. Rev. C51 (1995) 2914 Y.H.Song et al., Phys. Rev. C83(2011) 065503 ← discovery potential corresponding to the present nEDM upper limit Title(T Violation in n-A Reactions) Conf(Theoretical Issues and Experimental Opportunities in Searches for Time Reversal Invariance Violation) Date(2018/12/07) At(Amherst)
page zzzz zzzz zzzz 15 (3,4) Details of Entrance Channel ⎧ ( − 1) 2 I � � � Γ n Γ n y 1 + 1 2 I − 1 ( J = I − 1 2 ) ⎪ p ,j = 1 p ,j = 3 2 I +1 x ⎨ x 2 = , y 2 = κ ( J ) = 2 2 . � � � y I 1 − 1 2 I +3 ( J = I + 1 ( − 1) 2 I +1 2 ) Γ n Γ n ⎪ I +1 2 I x p p ⎩ kappa_final(x*3.141592653589/180.,[0], [1]) x 2 + y 2 = 1 3 10 x = cos φ , y = sin φ . 2 10 10 φ : necessary to estimate κ (J) )| J 1 ( κ | 1 − 10 131 Xe I=3/2 J=1 117 Sn I=1/2 J=1 139 La I=7/2 J=4 81 Br I=3/2 J=2 2 − 10 3 − 10 0 50 100 150 200 250 300 350 [deg] φ Title(T Violation in n-A Reactions) Conf(Theoretical Issues and Experimental Opportunities in Searches for Time Reversal Invariance Violation) Date(2018/12/07) At(Amherst)
page 16 (3,4) Details of Entrance Channel k γ σ n k n Title(T Violation in n-A Reactions) Conf(Theoretical Issues and Experimental Opportunities in Searches for Time Reversal Invariance Violation) Date(2018/12/07) At(Amherst)
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