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Prog. Theor. Phys. Vol. 19 No. 6 (1958) pp. 607-621

[ Full Text PDF : FREE ACCESS (753K) ]

A Theory of Clothed Unstable Particles

Noboru Nakanishi

Department of Physics, Kyoto University, Kyoto

(Received March 10, 1958)

Abstract:

The clothed states of unstable particles are investigated on the basis of quantum field theory, and thereby a new mathematical notion, “complex distribution”, is introduced. Then the exact eigenstate of total Hamiltonian with the complex eigenvalue, whose real part represents the mass of the unstable particle and whose imaginary part is interpreted as the half reciprocal of its lifetime, can be constructed by means of the complex distribution. But this state is not observable. The physical state of the unstable particle therefore is defined as an approximate state of the exact eigenstate, which exhibits physically reasonable behaviours.


URL : http://ptp.ipap.jp/link?PTP/19/607/
DOI : 10.1143/PTP.19.607

[ Full Text PDF : FREE ACCESS (753K) ] Citation:

References:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 80 (2011) 104707 (27 pages) :
    Resonant Spectrum Analysis of the Conductance of an Open Quantum System and Three Types of Fano Parameter
    Keita Sasada, Naomichi Hatano, and Gonzalo Ordonez
  2. Progress of Theoretical Physics Vol. 20 No. 6 (1958) pp. 822-834 :
    A Theory of Clothed Unstable Particles, II
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  3. Progress of Theoretical Physics Vol. 20 No. 6 (1958) pp. 857-867 :
    Theory of Unstable Particles in the Wave-Packet-Formalism
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  4. Progress of Theoretical Physics Vol. 21 No. 1 (1959) pp. 1-17 :
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  5. Progress of Theoretical Physics Vol. 21 No. 1 (1959) pp. 216-217 :
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  6. Progress of Theoretical Physics Vol. 24 No. 6 (1960) pp. 1275-1295 :
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  7. Progress of Theoretical Physics Vol. 26 No. 6 (1961) pp. 829-843 :
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  8. Progress of Theoretical Physics Vol. 36 No. 4 (1966) pp. 781-798 :
    Classification of an Unstable Particle and Its Propagator
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  9. Progress of Theoretical Physics Vol. 56 No. 3 (1976) pp. 972-980 :
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  10. Progress of Theoretical Physics Vol. 78 No. 2 (1987) pp. 370-386 :
    Variational Approach to πN Scattering in a Chiral Quark-Pion Model
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  11. Progress of Theoretical Physics Vol. 116 No. 5 (2006) pp. 873-882 :
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  12. Progress of Theoretical Physics Vol. 119 No. 6 (2008) pp. 883-911 :
    Anomalous Decay of an Unstable State Coupled with Singular Continuous States
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  13. Progress of Theoretical Physics Supplement No.51 (1972) pp. 1-95 :
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  14. Progress of Theoretical Physics Supplement No. 184 (2010) pp. 466-475 :
    Complex Spectral Representation of a Many-Body System in One Dimension
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  15. Progress of Theoretical Physics Supplement No. 184 (2010) pp. 497-515 :
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  16. Progress of Theoretical Physics Supplement No. 184 (2010) pp. 516-522 :
    Replacing the Breit-Wigner Amplitude by the Complex Delta Function to Describe Resonances
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