Neutrino oscillations in space within a solvable model

被引：23

作者：

Ioannisian, A ^{[1
]}

Pilaftsis, A ^{[1
]}

机构：

[1] Max Planck Inst Phys, Werner Hsiesnberg Inst, D-80805 Munich, Germany

来源：

PHYSICAL REVIEW D | 1999年 / 59卷 / 05期

关键词：

D O I：

10.1103/PhysRevD.59.053003

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study neutrino oscillations in space within a realistic model in which both the source and the tar,aet are considered to be stationary having Gaussian-form localizations. The model admits an exact analytic solution in field theory which may be expressed in terms of complementary error functions, thereby allowing for a quantitative discussion of quantum-mechanical (coherent) versus statistical (incoherent) uncertainties. The solvable model provides an insightful framework in addressing questions related to propagation and oscillation of neutrinos that may not be attainable by the existing approaches. We find a novel form of plane-wave behavior of neutrino oscillations if the localization spread of the source and target states due to quantum mechanics is of macroscopic size but much smaller than neutrinos' oscillation length. Finally, we discuss the limits on the coherence length of neutrino oscillations and find that they mainly arise from uncertainties of statistical origin. [S0556-2821(99)04703-7].

引用

页数：9

共 34 条

[1]

ABRAMOWITZ M, 1984, HDB MATH FUNCTIONS, P85

[2]

ANCHOCHEA B, 1996, PHYS LETT B, V389, P149

[3] Where do we stand with solar neutrino oscillations? art. no. 096016 [J].

Bahcall, JN ;

Krastev, PI ;

Smirnov, AY .

PHYSICAL REVIEW D, 1998, 58 (09)

[4]

BARBIERI R, HEPPH9807235

[5]

Bilenky S. M., 1978, Physics Reports. Physics Letters Section C, V41c, P225, DOI 10.1016/0370-1573(78)90095-9

[6] Neutrino oscillations from pion decay in flight [J].

Campagne, JE .

PHYSICS LETTERS B, 1997, 400 (1-2) :135-144

[7] Do muons oscillate? [J].

Dolgov, AD ;

Morozov, AY ;

Okun, LB ;

Schepkin, MG .

NUCLEAR PHYSICS B, 1997, 502 (1-2) :3-18

[8]

ERDELYI A, 1954, TABLES INTEGRAL TRAN, V1, P74

[9] Evidence for oscillation of atmospheric neutrinos [J].

Fukuda, Y ;

Hayakawa, T ;

Ichihara, E ;

Inoue, K ;

Ishihara, K ;

Ishino, H ;

Itow, Y ;

Kajita, T ;

Kameda, J ;

Kasuga, S ;

Kobayashi, K ;

Kobayashi, Y ;

Koshio, Y ;

Miura, M ;

Nakahata, M ;

Nakayama, S ;

Okada, A ;

Okumura, K ;

Sakurai, N ;

Shiozawa, M ;

Suzuki, Y ;

Takeuchi, Y ;

Totsuka, Y ;

Yamada, S ;

Earl, M ;

Habig, A ;

Kearns, E ;

Messier, MD ;

Scholberg, K ;

Stone, JL ;

Sulak, LR ;

Walter, CW ;

Goldhaber, M ;

Barszczxak, T ;

Casper, D ;

Gajewski, W ;

Halverson, PG ;

Hsu, J ;

Kropp, WR ;

Price, LR ;

Reines, F ;

Smy, M ;

Sobel, HW ;

Vagins, MR ;

Ganezer, KS ;

Keig, WE ;

Ellsworth, RW ;

Tasaka, S ;

Flanagan, JW ;

Kibayashi, A .

PHYSICAL REVIEW LETTERS, 1998, 81 (08) :1562-1567

[10] When do neutrinos cease to oscillate? [J].

Giunti, C ;

Kim, CW ;

Lee, UW .

PHYSICS LETTERS B, 1998, 421 (1-4) :237-244

← 1 2 3 4 →