Kasner 时空中的中微子振荡相位

曹广涛; 王永久

doi:10.7498/aps.59.5921

摘要

研究了质量中微子在 Kasner 时空特殊情况下的传播相位和振荡特征长度,得到了中微子的零短程线相位是短程线相位一半的关系.当参数a=0时,Kasner 时空中的传播相位和史瓦希时空中的相同.这一问题的研究在宇宙学中是有意义的[1-3].

关键词:

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.

Keywords:

作者及机构信息

1.
湖南师范大学理论物理研究所,长沙 410081

基金项目: 国家重点基础研究发展计划(批准号:2010CB832800),国家自然科学基金(批准号:10873004),湖南省教育厅基金(批准号:08B051)资助的课题.

Authors and contacts

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

参考文献

[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]

施引文献

[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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