Parton-like soliton structures in nonlinear coherent states

Abstract

Nonlinear analogues of coherent states arise in the framework of the nonlinear Schrödinger equation models with confining harmonic oscillator potentials. We clarify the profound physical linkage between the quantum-mechanical Schrödinger coherent states and their nonlinear solitonic analogues. Guided by remarkable, but obviously only formal analogy between the soliton negative self-action energy and the nuclear binding energy, we reveal how the nonlinear ground and coherent states could be built up from the parton-like solitonic constituents when the absolute value of the soliton binding energy increases. The enhancement of the soliton binding energy contribution in the total conserved energy of the nonlinear ground and coherent states radically changes their internal structures and allows one to apply the formal analogies from the parton model of nucleons.