Stability of the minimum solitary wave of a nonlinear spinorial model.

where 0&ro&1. The conclusion of the above study is that the solitary waves of the model are dilation stable for 0&co &0.936 and dilation unstable for 0.936 & ro& l. This result agrees with previous numerical results3 and corroborates that the energetic stability criterion is not necessarily correct for spinorial models as some authors claim. In the present work we study the stability under dilations of the solitary wave with m m, 0.936. The solitary wave with this frequency has the minimum energy and charge, and these values are, respectively (excepting a constant factor arising from the integration of angular variables), E,( )ro3.7561 and Q, (ro, ) 3.6598. From a physical point of view, the analysis of this minimum solitary wave against perturbations is more interesting than for the other values of the frequency, since this localized wave has been proposed as a model of extended fermions. To study the charge-preserving dilations of the minimum solitary wave, a code was constructed in spherical geometry. It consists of two parts: the initial and the evoIn a recent work' the stability under dilations of the spinorial waves of a nonlinear Dirac equation in 1+3 dimensions was analyzed in the framework of the ShatahStrauss formalism. The field equation of the analyzed model is, in dimensionless units,