Propagation and oscillations in field theory

After a review of the problems associated with the conventional treatment of particle oscillations, an oscillation formula is derived within the framework of quantum field theory. The oscillating particle is represented by its propagator and the initial and final states by wave packets. It is obviously relativistic from the start and moreover applies both to stable (neutrinos) and unstable particles (K and B mesons, unstable neutrinos). CPLEAR and DAFNE experiments are studied as examples, with special attention directed to CP violation. The problems resulting from equal energies/momentum/velocities prescriptions are analyzed and solved. Oscillations of associated particles are found to be nonexistent. The relativistic generalization of the Wigner-Weisskopf equation is also derived.

Note:

Ph.D. Thesis (Advisor: Jacques Weyers)

thesis
quantum mechanics
propagator
neutrino: oscillation
K0 anti-K0: oscillation
B0 anti-B0: oscillation
CP: violation
amplitude analysis
numerical calculations: interpretation of experiments
bibliography

References(133)

Figures(0)

Decay Theory of Unstable Quantum Systems

- Rept.Prog.Phys. 41 (1978) 587-631
•
DOI:
- 10.1088/0034-4885/41/4/003

- Sov.Phys.JETP 6 1053

- Annals Phys. 9 169

Mass and Lifetime of Unstable Particles

R. Jacob
(
- Wisconsin U., Madison
)
,
R.G. Sachs
(
- Wisconsin U., Madison
)

- Phys.Rev. 121 (1961) 350-356
•
DOI:
- 10.1103/PhysRev.121.350

- Nature 335 298

Behavior of neutral particles under charge conjugation

- Phys.Rev. 97 (1955) 1387-1389
•
DOI:
- 10.1103/PhysRev.97.1387

Observation of Long-Lived Neutral V Particles

- Phys.Rev. 103 (1956) 1901-1904,
- In *Cahn, R.N., Goldhaber, G.: The experimental foundations of particle physics* 205-208
•
DOI:
- 10.1103/PhysRev.103.1901

Evidence for the $2\pi$ Decay of the $K_2^0$ Meson

- Phys.Rev.Lett. 13 (1964) 138-140,
- Also in *Wolfenstein, L. (ed.): CP violation* 14-16. (see Book Index),
- In *Lichtenberg, D. B. (Ed.), Rosen, S. P. (Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 224-226.
•
DOI:
- 10.1103/PhysRevLett.13.138

First Evidence for Direct CP Violation

NA31

Collaboration

•

H. Burkhardt
(
- CERN
)

et al.

- Phys.Lett.B 206 (1988) 169-176
•
DOI:
- 10.1016/0370-2693(88)91282-8

A New measurement of direct CP violation in the neutral kaon system

NA31

Collaboration

•

G.D. Barr
(
- CERN
)

et al.

- Phys.Lett.B 317 (1993) 233-242
•
DOI:
- 10.1016/0370-2693(93)91599-I

Measurement of the CP violation parameter Re( $\epsilon^{\prime} / \epsilon$ )

E731

Collaboration

•

L.K. Gibbons
(
- Chicago U., EFI and
- Chicago U.
)

et al.

- Phys.Rev.Lett. 70 (1993) 1203-1206
•
DOI:
- 10.1103/PhysRevLett.70.1203

A New measurement of direct CP violation in two pion decays of the neutral kaon

NA48

Collaboration

•

V. Fanti
(
- Cagliari U. and
- INFN, Cagliari
)

et al.

- Phys.Lett.B 465 (1999) 335-348
•
e-Print:
- hep-ex/9909022
•
DOI:
- 10.1016/S0370-2693(99)01030-8

Observation of Direct CP Violation in $K_{S,L} \to \pi \pi$ Decays

KTeV

Collaboration

•

A. Alavi-Harati
(
- U. Wisconsin, Madison (main)
)

et al.

- Phys.Rev.Lett. 83 (1999) 22-27
•
e-Print:
- hep-ex/9905060
•
DOI:
- 10.1103/PhysRevLett.83.22

Calculation of the natural brightness of spectral lines on the basis of Dirac's theory

- Z.Phys. 63 (1930) 54-73
•
DOI:
- 10.1007/BF01336768

Over the natural line width in the radiation of the harmonius oscillator

V. Weisskopf
(
- Gottingen U.
)
,
E. Wigner
(
- Princeton U.
)

- Z.Phys. 65 (1930) 18-29
•
DOI:
- 10.1007/BF01397406

- Phys.Rev. 144 1300

Observation of B0 - anti-B0 Mixing

ARGUS

Collaboration

•

H. Albrecht
(
- DESY
)

et al.

- Phys.Lett.B 192 (1987) 245-252,
- In *Cahn, R.N., Goldhaber, G.: The experimental foundations of particle physics* 369-376,
•
DOI:
- 10.1016/0370-2693(87)91177-4

Measurement of the $B^0 \overline{B}^0$ oscillation frequency using $\ell^- D^{*+}$ pairs and lepton flavor tags

CDF

Collaboration

•

T. Affolder
(
- LBL, Berkeley
)

et al.

- Phys.Rev.D 60 (1999) 112004
•
e-Print:
- hep-ex/9907053
•
DOI:
- 10.1103/PhysRevD.60.112004

A measurement of $\sin(2\beta)$ from $B \to J/\psi K^0_S$ with the {CDF} detector

CDF

Collaboration

•

T. Affolder
(
- LBL, Berkeley
)

et al.

- Phys.Rev.D 61 (2000) 072005
•
e-Print:
- hep-ex/9909003
•
DOI:
- 10.1103/PhysRevD.61.072005

Demonstration of Quantum Mechanics in the Large

T.B. Day
(
- Maryland U.
)

- Phys.Rev. 121 (1961) 1204-1206
•
DOI:
- 10.1103/PhysRev.121.1204

Cp violation and coherent decays of kaon pairs

H.J. Lipkin
(
- Princeton U.
)

- Phys.Rev. 176 (1968) 1715-1718
•
DOI:
- 10.1103/PhysRev.176.1715

Search for neutrinos from the sun

- Phys.Rev.Lett. 20 (1968) 1205-1209
•
DOI:
- 10.1103/PhysRevLett.20.1205

Phenomenology of neutrino oscillations

Samoil M. Bilenky
(
- Dubna, JINR and
- Munich, Tech. U.
)
,
C. Giunti
(
- INFN, Turin and
- Turin U. and
- Korea Inst. Advanced Study, Seoul
)
,
W. Grimus
(
- Vienna U.
)

- Prog.Part.Nucl.Phys. 43 (1999) 1-86
•
e-Print:
- hep-ph/9812360
•
DOI:
- 10.1016/S0146-6410(99)00092-7

Neutrino Experiments and the Problem of Conservation of Leptonic Charge

B. Pontecorvo
(
- Dubna, JINR
)

- Sov.Phys.JETP 26 (1968) 984-988,
- Zh.Eksp.Teor.Fiz. 53 (1967) 1717-1725,
- In *Lichtenberg, D. B. ( Ed.), Rosen, S. P. ( Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 234-238. ( Zh. Eksp. Teor. Fiz. 53 ( 1967) 1717-1725),
- In *Pontecorvo, B.: Selected scientific works* 249-258

Neutrino astronomy and lepton charge

V.N. Gribov
(
- Ioffe Phys. Tech. Inst.
)
,
B. Pontecorvo
(
- Dubna, JINR
)

- Phys.Lett.B 28 (1969) 493,
- In *Pontecorvo, B.: Selected scientific works* 263-268
•
DOI:
- 10.1016/0370-2693(69)90525-5

1-25 of 133
1
2
3
4
5
6
25 / page