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Prog. Theor. Phys. Vol. 52 No. 2 (1974) pp. 659-687

Bound States and Asymptotic Fields in the Translational-Invariant Lee Model

Yusuke Kato and Katsuhiko Sekine^*

Department of Engineering Mathematics, Utsunomiya University, Utsunomiya
^*Department of Physics, Meisei University, Hino, Tokyo

(Received March 8, 1974)

Abstract:

Scattering theory in the Lee model with a nonlocal, translation-invariant interaction is studied. Under a suitable condition on the interaction kernel, we prove that the asymptotic fields exist as strong limits of operators for all the physical particles present in the lowest sectors, including the dressed V-particle and the bound state B in the VΘ-NΘΘ sector. The condition used has some connection with the concept of nuclear operator. The commutation relations of these asymptotic fields among themselves, with other fields and with the Hamiltonian are derived. Existence of the bound state B is established for a certain class of Galilei-invariant kernels.

URL : http://ptp.ipap.jp/link?PTP/52/659/
DOI : 10.1143/PTP.52.659

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See Also:

• Progress of Theoretical Physics Vol. 52 No. 5 (1974) pp. 1720a-1720a :

  Erratum : Bound States and Asymptotic Fields in the Translation-Invariant Lee Model

  Yusuke Kato and Katsuhiko Sekine

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