s-Wave K-N scattering by the N/D method

Roy, D. P. (1964) s-Wave K-N scattering by the N/D method Physical Review, 136 (3B). B804-B807. ISSN 0031-899X

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Official URL: http://prola.aps.org/abstract/PR/v136/i3B/pB804_1

Related URL: http://dx.doi.org/10.1103/PhysRev.136.B804


The K-N s-wave scattering lengths and effective-range parameters have been calculated for both isotopic spin states, using the N/D method. The nearby part of the interaction cut has been approximated by two poles, whereas following Balázs' procedure the entire distant cut has been replaced by two effective-range poles at predetermined positions, but with unknown residues. The residues of the effective-range poles are determined by matching the N/D amplitude with that calculated with a fixed energy dispersion relation, at two properly chosen points. In calculating the latter amplitudes only the contributions of Λ, Σ, Y1*, ρ, and ω exchange terms are retained and the values of Y1*, ρ, and ω coupling constants are taken from a unitary symmetry scheme. The calculated values of scattering length, effective range, and low-energy phase shifts for the I=1 state are in good agreement with the experimental results of Goldhaber et al. For the I=0 state, the calculated phase shifts are consistent with the large s-wave solution of Goldhaber et al.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:42818
Deposited On:06 Jun 2011 13:16
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