Published May 1976 | Version v1
Journal article

Bound states near the lower continuum boundary

  • 1. Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Moscow. Inst. Teoreticheskoj i Ehksperimental'noj Fiziki
  • 2. Moskovskij Inzhenerno-Fizicheskij Inst. (USSR)

Description

The effective range approximation is extended to the case of the Dirac equation. Exact formulas are obtained which express the parameters of the expansion of S-matrix at epsilon→-mc2 in terms of the wave function of the level at critical point. With the aid of the formulas obtained the embedding of discrete spectrum levels into the lower continuum is investigated. Critical charge of the nucleus for muons is evaluated (the case R>>h/mc)

Additional details

Additional titles

Subtitle (English)
The fermion case
Original title (Russian)
Связанные состояния вблизи границы нижнего континуума
Original subtitle (Russian)
Sluchaj fermionov.

Publishing Information

Journal Title
Teor. Mat. Fiz.
Journal Volume
27
Journal Issue
2
Series
Teor. Mat. Fiz.
Journal Page Range
204-216

Optional Information

Notes
14 refs.; for English translation see the journal Theor. Math. Phys.