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Physics of Lepton Flavor Mixing

Research Project

Project/Area Number 09640370
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionTOKYO METROPOLITAN UNIVERSITY

Principal Investigator

MINAKATA Hisakazu  TOKYO METROPOLITAN UNIVERSITY,Professor, 理学研究科, 教授 (00112475)

Project Period (FY) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1998: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1997: ¥600,000 (Direct Cost: ¥600,000)
KeywordsNeutrino mass / Flavor mixing / 3 generation leptons / CP violation / Dark matter / long-baseline neutrino experiment / Majorana neutrino / Double beta decay / 三世代ニュートリノ / シーソー機構 / シ-ソ-機構 / バリオン数非対称性
Research Abstract

During the research term 1997-98 I concentrated on two topics, (1) CP Violation in the Lepton Sector, and (2) Dark Matter Neutrino Hypothesis ; experimental constraints and how to test it.
(1) I, in collaboration with Hiroshi Nunokawa (Univ.de Campinas, Brazil), studied the problem of how to measure leptonic CP violation in long-baseline neutrino oscillation experiments. There exists a notorious problem in such measurement ; it is the problem of the matter effect pollusion. That is, the genuine CP violation effect due to the leptonic Kobayashi-Maskawa phase could be masked by that due to matter effect in the IEarth. We have presented a formalism based on matter effect peturbation theory by which one can obtain bird-eye view of the interplay between these two effects. It will enable us to select out the most feasible channel of the experiment searching for the genuine phase CP violation. Moreover, we have proposed a new strategy for sensitive detection of CP violation by setting up an intermediate detector in a dedicated long-baseline experimennt.
(2) The neutrino dark matter hypothesis has been topics of interests as an interesting possibility of explaining structure formation in a consistent way with COBE data. I, in collaboration with Osamu Yasuda (TMU), demonstrated that there exist severe constraints on that hypothesis in the standard three-flavor mixing scheme due to the solar and the atmospheric neutrino observation as well as the reactor and accelerator data. We have shown with constraints imposed by CHOOZ reactor experiment that the dark matter neutrinos must have an almost degenerate mass spectrum. Furthermore, we have shown that if neutrinos are Majorana particles this possibility will be severely tested within 5 years by the coming new double beta decay experiment.

Report

(3 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • Research Products

    (70 results)

All Other

All Publications (70 results)

  • [Publications] H.Minakata and H.Nunokawa: "Current Status of the Solar Neutrino Problem with Super-Kamiokande" Physical Review D. 59. 073004 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] A.Chodos, H.Minakata, and F.Cooper: "Cooper Pairing at Large-N in a Two-Dimensional Model" Physics Letters B 印刷中.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Minakata and H.Nunokawa: "CP Violation versus the Matter Effect in Long-Baseline Neutrino Oscillation Experiments" Physical Review D. 57. 4403-4417 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Minakata and O.Yasuda: "Dark Matter Neutrinos Must Come with Degenerate Masses" Nuclear Physics B. 523. 597-610 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Asakawa, H.Minakata and B.Muller: "Anomaly Induced Domain Formation of Disoriented Chiral Condensates" Physical Review D. 58. 094011 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Hiro-Oka and H.Minakata: "Two-Pion Correlations as a Possible Experimental Probe for Disoriented Chiral Condensates" Physics Letters B. 425. 129-134 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Minakata and Y.Shimada: "Can Long-Baseline Neutrino Oscillation Experiments Tell Us about Neutrino Dark Matter?" Astroparticle Physics. 8. 193-200 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Arai and H.Minakata: "Unitarity of the Aharonov-Bohm Scattering Amplitudes" International Journal for Modern Physics A. 13. 831-840 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Minakata and H.Nunokawa: "How to Measure CP-Violation in Neutrino Oscillation Experiments?" Physics Letters B. 413. 369-377 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Minakata and O.Yasuda: "Constraining Almost Degenerate Three Flavor Neutrinos" Physical Review D. 56. 1692-1697 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] A.Chodos and H.Minakata: "The Thermodynamic Bethe Ansatz and the 1/N Correction to the Density Phase Transition in the Gross-Neveu Model" Nuclear Physics B [FS]. 490. 687-698 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Minakata and O.Yasuda (ed.): "Universal Academy Press, Tokyo" New Era in Neutrino Physics [Proceedings of a Satellite Symposium to Neutrino ′98,June 11-12,1998, Tokyo Metropolitan University], 289 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Minakata and H.Nunokawa: "Current Status of the Solar Neutrino Problem with Super-Kamiokande" Physical Review D. 59. 073004 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] A.Chodos, H.Minakata, and F.Cooper: "Cooper Pairing at Large-N in a Two-Dimensional Model" Physics Letters B. (to be published).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Minakata and H.Nunokawa: "CP Violation versus the Matter Effect in Long-Baseline Neutrino Oscillation Experiments" Physical Review D. 57. 4403-4417 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Minakata and O.Yasuda: "Dark Matter Neutrinos Must Come with Degenerate Masses" Nuclear Physics B. 523. 597-610 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Asakawa, H.Minakata and B.Muller: "Anomaly Induced Domain Formation of Disoriented Chiral Condensates" Physical Review D. 58. 094011 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Hiro-Oka and H.Minakata: "Two-Pion Correlations as a Possible Experimental Probe for Disoriented Chiral Condensates" Physics Letters B (Erratum-ibid B434(1998)461). 425. 129-134 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Arai and H.Minakata: "Unitarity of the Aharonov-Bohm Scattering Amplitudes" International Journal for Modern Physics. A13. 831-840 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Minakata and Y.Shimada: "Can Long-Baseline Neutrino Oscillation Experiments Tell Us about Neutrino Dark Matter?" Astroparticle Physics. 8. 193-200 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Minakata and H.Nunokawa: "How to Measure CP-Violation in Neutrino Oscillation Experiments?" Physices Letters B. 413. 369-377 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Minakata and O.Yasuda: "Constraining Almost Degenerate Three Flavor Neutrinos" Physical Review D. 56. 1692-1697 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] A.Chodos and H.Minakata: "The Thermodynamic Bethe Ansatz and the 1/N Correction to the Density Phase Transition in the Gross-Neveu Model" Nuclear Physics B[FS]. 490. 687-698 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Sakai: "Sharp estimates of the distance from a fixed point to the frontier of a Hele-Shaw flow" Potential Analysis. 8. 277-302 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Sakai (with B.Gustafsson): "On potential theoretic skeletons of polyhedra" Geometricae Dedicata. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Sakai: "Linear combinations of harmonic measures and quadrature domains of signed measures with small supports" Proc.Edinburgh Math.Soc.(to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Jimbo (with X.Y.Chen, Y.Morita): "Stabilization of vortices in the Ginzburg-Landau equation with variable diffusion coefficients" SIAM J.Math.Anal.29. 903-912 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Jimbo (with J.Zhai): "Ginzburg-Landau equation with magnetic effect : Non-simply-connected domains" J.Math.Soc.Japan. 50. 663-684 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Jimbo: "On the existence of nontrivial stable solutions to the Ginzburg-Landau equation" Nonlinear Anal.TMA. 30. 811-817 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Jimbo: "Ginzburg-Landau equations with variable coefficients- and approach to prescribing zeros" Proceedings of Korea-Japan Partial Differential Equations Conference, eds. Hi Jun Choe, Hyeong-Ohk Bae, Lecture Notes Series 39, Research Institute of Mathematics-Global Analysis Research Center.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Takakuwa: "A compactness theorem for harmonic maps" Differential and integral Equation. Vol.11, No.1. 169-178 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Tanaka (with S.Adachi): "Trudinger type inequalities in R^N and their best exponents" Proc.Amer.Math.Soc.(to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Tanaka (with P.Felmer): "Hyperbolic-like solutions for singular Hamiltonian systems" NoDEA Nonlinear Differential Equations Appl.(to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Tanaka: "Periodic solutions for singular Hamiltonian systems and closed geodesics on non-compact Remannian manifolds" Ann.Inst.H.Poincare Anal.Non Lineaire. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Tanaka (with Y.Kabeya): "Uniqueness of positive radial solutions of semilinear elliptic equaitons in R^N and Sere's non-degeneracy condition" Comm.Partial Differential Equations. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Tanaka (with A.Ambrosetti): "On Keplerian N-body type problems" "Nonlinear Analysis and continuum mechanics : Paper for the 65-th birthday of James Serrin" (G.Buttazzo, G.P.Galdi, E.Lanconelli, P.Pucci ed.15-25 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Tanaka: "Multiple positive solutions for some nonlinear elliptic systems" Topological Methods in Nonlinear Analysis. 10. 15-45 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Nishigaki: "On Boundary Value Problems for Elliptic Equations of Second Order(III)(in Japanese)" Numazu College Tech.Report. 32. (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Hidano: "Nonlinear small data scattering for the wave equation in R^<4+1>" J.Math.Soc.Japan. Vol.50, NO.2. (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Murta: "Semismall perturbations in the Martin theory for elliptic equations" Israel J.Math. 102. 29-60 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Murata (with Kazuhiro Ishige): "An intrinsic metric approach to uniqueness of the positive Cauchy problem for parabolic equations" Math.Z.227. 313-335 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Murata: "Structure of positive solutions to Schrodinger equations" Sugaku Expositions. 11. 101-121 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Mochizuki: "Global existence and energy decay of small solutions to the Kirchhoff equation with linear dissipation localized near infinity" J.Math.Kyoto Univ.(to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Mochizuki (with K.Mukai and Q.Huang): "Large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial values" Nonlinear Analysis TMA. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Mochizuki (with Q.Huang): "Existence and behavior of solutions for a weakly coupled system of reaction-diffusion equations" Meth.Appl.Anal.5. 109-124 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Mochizuki: "Blow up, life span and large time behavior of solutions to a weakly coupled reaction-diffusion equations, Advances in Nonlinear Partial Differential Equations and Stochastics (Ed.S.Kawashima and Y.Yanagissawa)" Ser.48, world Scientific 1998. 175-197

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Mochizuki (with Q.Huang and K.Mukai): "Life span and asymptotic behavior for a semilinear parabolic system with slowly decaying initial values" Hokkaido Math.J.27. 393-407 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Mochizuki (with Q.Huang): "A note on the global solutions of a degenerate parabolic system" Tokyo J.Math.20. 63-66 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Mochizuki (with R.Suzuki): "Critical exponent and critical blow-up for quasilinear parabolic equations" Israel J.Math.98. 141-156 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Mochizuki: "Critical blow-up and asymptotic behavior of solutions to quasilinear degenerate parabolic equations in exterior domain" Proc.Conference on Nonlinear Evolution Equations and Infinite-Dimensional Dynamical Systems (Ed.Li Ta-Tsien), World Scientific. 121-127 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Ishii: "Homogenization of the Cauchy problem for Hamilton-Jacoib equations" Stochastic Analysis, Control, Optimization and Applications : a volume in honor of W.H.Fliming (ed.W.M.McEneaney, G.G.Yin, and Q.Zhang). 305-324 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Ishii (with K.Horie): "Homogenization of Hamilton-Jacobi equations on domains with small scale periodic structure" Indiana Univ.Math.J.47. 1011-1058 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Ishii (with G.E.Pires and P.E.Souganidis): "Threshold dynamics type approximations schemes for propagating fronts" J.Math.Sco.Japan. (in press.).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Ishii (with M.Arisawa): "Some properties of ergodic attractors for controlled dynamical systems." Discrete Contin.Dynam.Systems. 4. 43-54 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Makoto Sakai: "Sharp estimates of the distance from a fixed point to the frontier of a Hele-Shaw flow" Potential Analysis. 8. 277-302 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Minakata and O.Ysuda(ed.): New Era in Neutrino Physics [Proceedings of a Satellite Symposium to Neutrino '98, June 11-12, 1998, Tokyo Metropolitan University]. Universal Academy Press Tokyo, 1999

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] S.Jimbo: Differential Equations (in Japanese). Science-sha, 172 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Minakata and H.Nunokawa: "Current Status of the Solar Neutrino Problem with Super-Kamiokande" Physical Review D,. to be published.

    • Related Report
      1998 Annual Research Report
  • [Publications] A.Chodos, H.Minakata,: "Cooper Pairing at Large-N in a Two-Dimensional Model" Physics Letters B,. to be published.

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Minakata and H.Nunokawa: "CP Violation versus the Matter Effect in Long-Baseline Neutrino Oscillation Experiments" Physical Review D. 57. 4403-4417 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Minakata and O.Yasuda: "Dark Matter Neutrinos Must Come with Degenerate Masses" Nuclear Physics B. 523. 597-610 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Asakawa, H.Minakata and B.Muller: "Anomaly Induced Domain Formation of Disorientated Chiral Condensates" Physical Review D. 58. 094011 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Hiro-Oka and H.Minakata: "Two-Pion Correlations as a Possible Experimental Probe for Disoriented Chiral Condensates" Physics Letters B. 425. 129-134 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Minakata and O.Yasuda(ed.): "New Era in Neutrino Physics" Universal Academy Press,300 (199)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Minakata and H.Nunokawa: "How to Measure CP-Violation in Neutrino Oscillation Experiments?" Physics Letters B. 413. 369-377 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] H.Minakata and H.Nunokawa: "CP Violation versus the Matter Effect in Long-Baseline Neutrino Oscillation Experiments" Physical Review D,in press.

    • Related Report
      1997 Annual Research Report
  • [Publications] H.Minakata and Y.Shimada: "Can Long-Baseline Neutrino Oscillation Experiments Tell Us about Neutrino Dark Matter?" Astroparticle Physics. 8. 193-200 (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] H.Minakata and O.Yasuda: "Constraining Almost Degenerate Three Flavor Neutrinos" Physical Review D. 56. 1692-1697 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] H.Hiro-Oka and H.Minakata: "Two Pion Correlations as a Possible Experimental Probe for Disoriented Chiral Condensates" Physics Letters B,to be published.

    • Related Report
      1997 Annual Research Report
  • [Publications] A.Chodos and H.Minakata: "The Thermodynamic Bethe Ansatz and the 1/N Correction to the Density Phase Transition in the Gross-Neveu Model" Nuclear Physics B[FS]. 490. 687-698 (1997)

    • Related Report
      1997 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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