Lorentz boosted NN potential for few body systems: Application to the three nucleon bound state

Aug, 2002
25 pages
Published in:
  • Phys.Rev.C 66 (2002) 044010
e-Print:

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Abstract:
A Lorentz boosted two-nucleon potential is introduced in the context of equal time relativistic quantum mechanics. The dynamical input for the boosted nucleon-nucleon (NN) potential is based on realistic NN potentials, which by a suitable scaling of the momenta are transformed into NN potentials belonging to a relativistic two-nucleon Schroedinger equation in the c.m. system. This resulting Lorentz boosted potential is consistent with a previously introduced boosted two-body t-matrix. It is applied in relativistic Faddeev equations for the three-nucleon bound state to calculate the ^3H binding energy. Like in previous calculations the boost effects for the two-body subsystems are repulsive and lower the binding energy.
Note:
  • 25 pages, 5 figures
  • 11.80.-m
  • 21.30.-x
  • 21.45.+v
  • 24.10.-i
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