English

Centrifugal effects in N-Delta states

Nuclear Theory 2020-08-26 v1 High Energy Physics - Experiment High Energy Physics - Phenomenology Nuclear Experiment

Abstract

Recently it has been pointed out that in the two-baryon NΔN\Delta or ΔΔ\Delta\Delta system the width of the state is greatly diminished due to the relative kinetic energy of the two baryons, since the internal energy of the particles, available for pionic decay, is smaller. For nonzero orbital angular momenta this effect becomes state dependent. Also the real part of the NΔN\Delta energy can get contribution from the centrifugal barrier leading to rotational series of diffuse states. Obviously, these states may have an interpretation as isospin one dibaryons. Direct and explicit calculations for this are presented with some details of the coupled state wave functions displayed. With finite expectation values of these repulsive effects it may be possible to define state dependent effective thresholds for NΔN\Delta states and these, in turn, can show resonant like behavior.

Keywords

Cite

@article{arxiv.2004.10699,
  title  = {Centrifugal effects in N-Delta states},
  author = {J. A. Niskanen},
  journal= {arXiv preprint arXiv:2004.10699},
  year   = {2020}
}

Comments

22 pages, 5 figures