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The norms of the Bethe-ansatz eigenstates of the chiral-invariant Gross–Neveu Hamiltonian are calculated.
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Two formalisms are presented for estimating the change in the fundamental eigenvalue (the criticality) of the neutron transport equation due to a perturbation in the exterior boundary of the system. T...

Coulomb-modified nuclear scattering. II

J. Math. Phys. 24, 683 (1983); doi:10.1063/1.525715

Issue Date: March 1983

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B. Talukdar and S. Saha
Department of Physics, Visva-Bharati University, Santiniketan 731235, West Bengal, India

T. Sasakawa
Department of Physics, Tohoku University, Sendai 980, Japan
Exact analytical expressions for the off-shell Jost function fl(k, q) for the Coulomb and Coulomb-distorted nuclear potentials are constructed in terms of the sum of Gaussian hypergeometric functions by using an integral representation for fl(k, q) given by Fuda. It is pointed out that the hypergeometric functions which occur here can be generated by the use of a well-known three-term recurrence relation. With van Haeringen our expressions for fl(k, q) exhibit discontinuity in the on-shell limit q-->k. This discontinuous behavior has been attributed to the long range nature of the Coulomb force. Journal of Mathematical Physics is copyrighted by The American Institute of Physics.
History: Received 15 October 1981; accepted 23 September 1982
Permalink: http://link.aip.org/link/?JMAPAQ/24/683/1
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KEYWORDS and PACS

Keywords
PACS
  • 21.30.+y
    Nuclear structure Nuclear forces
  • 21.10.Sf
    Nuclear structure General and average properties of nuclei; properties of nuclear energy levels Coulomb energies
  • 02.30.-f
    Mathematical methods in physics Function theory, analysis
  • YEAR: 1983

PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (15)
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