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Interference phase of mass neutrino in Kasner space-time

Cao Guang-Tao Wang Yong-Jiu

Interference phase of mass neutrino in Kasner space-time

Cao Guang-Tao, Wang Yong-Jiu
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  • In Kasner space-time, we calculate the interference phase and oscillation length of the mass neutrinos in some special cases and find that the phase along the null is equivalent to the half phase along the geodesic in the high energy limit. When the parameter a in line element fulfils a=0, the interference phase is the same as that in Schwarzschild space-time. Research on this subject has impact on cosmology.
    • Funds:
    [1]

    Fukui M, Masukawa J, Miyamura O 1984 Prog. Theor. Phys. 71 1213

    [2]

    Brevik I, Pettersen S V 1997 Phys. Rev. D 56 3322

    [3]

    Harvey A 1989 Phys. Rev. D 39 673

    [4]

    Fukuda Y, Hayakawa T, Ichihara E, Inoue K, Ishihara K, Ishino H, Itow Y, Kajita T, Kameda J, Kasuga S, Kobayashi Y, Koshio Y, Martens K, Miura M,Nakahata M, Nakayama S, Okada A, Oketa M, Okumura K, Ota M, Sakurai N, Shiozawa M,Suzuki Y, Takeuchi Y, Totsuka Y, Yamada S, Earl M, Habig A, Hong J T, Keams E,Kim S B, Masuzawa M, Messier M D, Scholberg K, Stone J L, Sulak L R, Walter C W,Goldhaber M, Barszczak T, Gajewski W, Halverson P G, Hsu J, Kropp W R, Price L R,Reines F, Sobel H W, Vagins M R, Ganezer K S, Keig W E, Ellsworth R W, Tasaka S, Flanagan J W, Kibayashi A, Learned J G, Matsuno S, Stenger V, Takemori D, Ishii T,Kanzaki J, Kobayashi T, Nakamura K, Nishikawa K, Oyama Y, Sakai A, Saluda M, Sasaki O, Echigo S,Kohama M, Suzuki A T, Haines T J, Blaufuss E, Sanford R, Svoboda R, Chen M L, Conner Z,Goodman J A, Sullivan G W, Mori M, Hill J, Jung C K, Mauger C, McGrew C, Sharkey E,Viren B, Yanagisawa C, Doki W, Ishizuka T, Kitaguchi Y, Koga H, Miyano K, Okazawa H, Saji C, Takahata M, Kusano A, Nagashima Y, Takita M, Yamaguchi T, Yoshida M, Etoh M, Fujita K, Hasegawa A,Hasegawa T, Hatakeyama S, Iwamoto T, Kinebuchi T, Koga M, Maruyama T, Qgawa H, Suzuki A,Tsushima F, Koshiba M, Nemoto M, Nishijima K, Futagami T, Hayato Y, Kanaya Y, Kaneyuki K, Watanabe Y,Kielczewska D, Doyle R, George J, Stachyra A, Wai L, Wilkes J, Young K 1998 Phys. Rev. Lett. 81 1158

    [5]

    Pontecorvo B 1957 Zh. Eksp. Teor. Fiz. 33 549

    [6]

    Giunit C, Kim C W, Lee U W 1991 Phys. Rev. D 44 3635

    [7]

    Fornengo N, Giunti C, Kim C W, Song J 1997 Phys. Rev. D 56 1895

    [8]

    Zhang C M, Beesham A 2001 Gen. Rel. Grav. 33 1011

    [9]

    Huang X J, Li Z J, Wang Y J 2006 Chin. Phys. 15 229

    [10]

    Huang X J, Wang Y J 2004 Chin. Phys. 13 1588

    [11]

    Huang X J, Wang Y J 2003 Commun. Theor. Phys. 40 742

    [12]

    Chen X, Wang Y J 2009 Chin. Phys. B 18 1707

    [13]

    Ahluwalia D V 2004 arXiv: 0404.0551v1

    [14]

    Haubold H J 1982 Astrophys. Space. Sci. 82 457

    [15]

    Bilenky S, Pontecorvo 1978 Phys. Rep. 41 225

    [16]

    Zhang J, Liu M Q, Wei B T, Luo Z Q 2008 Acta Phys. Sin. 57 5448 (in Chinese)[张 洁、 刘门全、 魏丙涛、 罗志全 2008 物理学报 57 5448]

    [17]

    Wu S Q, Zeng Y, Cai X, Yan M L 2003 Acta Phys. Sin. 52 1340 (in Chinese)[吴双清、曾 瑜、蔡 勖、闫沐霖 2003 物理学报 52 1340]

    [18]

    Stodolsky L 1979 Gen. Relativ. Gravit. 11 391

    [19]

    Piriz D, Roy M, Wudka J 1996 Phys. Rev. D 54 1587

    [20]

    Wang Y J 2004 Gravitation and Cosmology (Changsha: Hunan Normal University Press)p16 (in Chinese)[王永久 2004 引力论和宇宙论 (长沙:湖南师范大学出版社)第16页]

  • [1]

    Fukui M, Masukawa J, Miyamura O 1984 Prog. Theor. Phys. 71 1213

    [2]

    Brevik I, Pettersen S V 1997 Phys. Rev. D 56 3322

    [3]

    Harvey A 1989 Phys. Rev. D 39 673

    [4]

    Fukuda Y, Hayakawa T, Ichihara E, Inoue K, Ishihara K, Ishino H, Itow Y, Kajita T, Kameda J, Kasuga S, Kobayashi Y, Koshio Y, Martens K, Miura M,Nakahata M, Nakayama S, Okada A, Oketa M, Okumura K, Ota M, Sakurai N, Shiozawa M,Suzuki Y, Takeuchi Y, Totsuka Y, Yamada S, Earl M, Habig A, Hong J T, Keams E,Kim S B, Masuzawa M, Messier M D, Scholberg K, Stone J L, Sulak L R, Walter C W,Goldhaber M, Barszczak T, Gajewski W, Halverson P G, Hsu J, Kropp W R, Price L R,Reines F, Sobel H W, Vagins M R, Ganezer K S, Keig W E, Ellsworth R W, Tasaka S, Flanagan J W, Kibayashi A, Learned J G, Matsuno S, Stenger V, Takemori D, Ishii T,Kanzaki J, Kobayashi T, Nakamura K, Nishikawa K, Oyama Y, Sakai A, Saluda M, Sasaki O, Echigo S,Kohama M, Suzuki A T, Haines T J, Blaufuss E, Sanford R, Svoboda R, Chen M L, Conner Z,Goodman J A, Sullivan G W, Mori M, Hill J, Jung C K, Mauger C, McGrew C, Sharkey E,Viren B, Yanagisawa C, Doki W, Ishizuka T, Kitaguchi Y, Koga H, Miyano K, Okazawa H, Saji C, Takahata M, Kusano A, Nagashima Y, Takita M, Yamaguchi T, Yoshida M, Etoh M, Fujita K, Hasegawa A,Hasegawa T, Hatakeyama S, Iwamoto T, Kinebuchi T, Koga M, Maruyama T, Qgawa H, Suzuki A,Tsushima F, Koshiba M, Nemoto M, Nishijima K, Futagami T, Hayato Y, Kanaya Y, Kaneyuki K, Watanabe Y,Kielczewska D, Doyle R, George J, Stachyra A, Wai L, Wilkes J, Young K 1998 Phys. Rev. Lett. 81 1158

    [5]

    Pontecorvo B 1957 Zh. Eksp. Teor. Fiz. 33 549

    [6]

    Giunit C, Kim C W, Lee U W 1991 Phys. Rev. D 44 3635

    [7]

    Fornengo N, Giunti C, Kim C W, Song J 1997 Phys. Rev. D 56 1895

    [8]

    Zhang C M, Beesham A 2001 Gen. Rel. Grav. 33 1011

    [9]

    Huang X J, Li Z J, Wang Y J 2006 Chin. Phys. 15 229

    [10]

    Huang X J, Wang Y J 2004 Chin. Phys. 13 1588

    [11]

    Huang X J, Wang Y J 2003 Commun. Theor. Phys. 40 742

    [12]

    Chen X, Wang Y J 2009 Chin. Phys. B 18 1707

    [13]

    Ahluwalia D V 2004 arXiv: 0404.0551v1

    [14]

    Haubold H J 1982 Astrophys. Space. Sci. 82 457

    [15]

    Bilenky S, Pontecorvo 1978 Phys. Rep. 41 225

    [16]

    Zhang J, Liu M Q, Wei B T, Luo Z Q 2008 Acta Phys. Sin. 57 5448 (in Chinese)[张 洁、 刘门全、 魏丙涛、 罗志全 2008 物理学报 57 5448]

    [17]

    Wu S Q, Zeng Y, Cai X, Yan M L 2003 Acta Phys. Sin. 52 1340 (in Chinese)[吴双清、曾 瑜、蔡 勖、闫沐霖 2003 物理学报 52 1340]

    [18]

    Stodolsky L 1979 Gen. Relativ. Gravit. 11 391

    [19]

    Piriz D, Roy M, Wudka J 1996 Phys. Rev. D 54 1587

    [20]

    Wang Y J 2004 Gravitation and Cosmology (Changsha: Hunan Normal University Press)p16 (in Chinese)[王永久 2004 引力论和宇宙论 (长沙:湖南师范大学出版社)第16页]

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  • Received Date:  07 January 2010
  • Accepted Date:  08 April 2010
  • Published Online:  05 April 2010

Interference phase of mass neutrino in Kasner space-time

  • 1. Institute of Physics, Hunan Normal University, Changsha 410081, China

Abstract: In Kasner space-time, we calculate the interference phase and oscillation length of the mass neutrinos in some special cases and find that the phase along the null is equivalent to the half phase along the geodesic in the high energy limit. When the parameter a in line element fulfils a=0, the interference phase is the same as that in Schwarzschild space-time. Research on this subject has impact on cosmology.

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