Communications in Theoretical Physics ›› 2022, Vol. 74 ›› Issue (7): 075301. doi: 10.1088/1572-9494/ac6fc3

• Nuclear Physics • Previous Articles     Next Articles

A new effective potential for deuteron

Taha Koohrokhi1,,(), Sehban Kartal2,()   

  1. 1Department of Physics, Faculty of Sciences, Golestan University, Gorgan, Iran
    2Istanbul University, Department of Physics, 34000, Istanbul, Turkey
  • Received: 2021-12-28 Revised: 2022-05-13 Accepted: 2022-05-14 Published: 2022-07-01
  • Contact: Taha Koohrokhi E-mail:t.koohrokhi@gu.ac.ir;sehban@istanbul.edu.tr
  • About author: First author contact:Author to whom any correspondence should be addressed.

Abstract:

We calculate for the first time the static properties of the deuteron, within the framework of supersymmetric quantum mechanics, analytically. A new effective potential and its partner are derived from a superpotential so that all parameters are fitted by the experimental data. An analytical expression is obtained for the deuteron wave function and contributions of the orthogonal 13S1 and 13D1 states are determined, explicitly. Compared to one pion exchange, the superpotential produces an electrostatic as well as two pion exchange terms for the potential. The saddle point radius of the potential and the maximum of the wave function are linearly proportional. In comparison with other methods, the approach presented in this paper is a new and extensible symmetry-based approach that, despite its straightforward calculations and explicit analytical expressions, provides a good explanation for two-body effective interactions such as two-nucleon systems and diatomic molecules.

Key words: superpotential, Boson exchange, supersymmetry, effective potential