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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Improved effective-range expansions for small and large values of scattering length

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Author(s):
Adhikari, S. K.
Total Authors: 1
Document type: Journal article
Source: European Journal of Physics; v. 39, n. 5 SEP 2018.
Web of Science Citations: 0
Abstract

The textbook effective-range expansion of scattering theory is useful in the analysis of low-energy scattering phenomenology when the scattering length vertical bar a vertical bar is much larger than the range R of the scattering potential: vertical bar a vertical bar >> R. Nevertheless, the same has been used for systems where the scattering length is much smaller than the range of the potential. We suggest and numerically study an effective-range expansion for vertical bar a vertical bar << R as well as improved two-parameter effective-range expansions for the cases vertical bar a vertical bar > R and vertical bar a vertical bar < R. The improved effective-range expansions for vertical bar a vertical bar > R and vertical bar a vertical bar < R reduce to the expansions for vertical bar a vertical bar/R >> 1 and vertical bar a vertical bar/R << 1, respectively, in appropriate limits. (AU)

FAPESP's process: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
Grantee:Nathan Jacob Berkovits
Support Opportunities: Special Projects
FAPESP's process: 12/00451-0 - Study of properties of Bose-Einstein Condensate: dipolar atoms and condensate of fermions
Grantee:Sadhan Kumar Adhikari
Support Opportunities: Research Projects - Thematic Grants