Nuclear Physics and Atomic Energy

ядерна ф≥зика та енергетика
Nuclear Physics and Atomic Energy

  ISSN: 1818-331X (Print), 2074-0565 (Online)
  Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine
  Languages: Ukrainian, English, Russian
  Periodicity: 4 times per year

  Open access peer reviewed journal

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Nucl. Phys. At. Energy 2016, volume 17, issue 1, pages 22-26.
Section: Nuclear Physics.
Received: 26.10.2015; Accepted: 11.04.2016; Published online: 02.06.2016.
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New analytical forms of a deuteron wave function for potentials of the Nijmegen group

V. I. Zhaba*

Uzhhorod National University, Uzhhorod, Ukraine

*Corresponding author. E-mail address:

Abstract: To approximate the deuteron wave function in coordinate representation, two new analytical forms were proposed. They are represented as the product of the power function rn for the sum of exponential terms Ai⋅exp(-ai⋅r3). For realistic phenomenological potentials of the Nijmegen group these forms are constructed as deuteron wave function in the coordinate representation, which do not contain superfluous knots. The calculated parameters of the deuteron are compared with experimental and theoretical data.

Keywords: wave functions, analytical form, deuteron, knot.


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