Interaction for the solitary waves of a nonlinear Dirac model

• Published in: Physics letters. A Vol. 345; no. 1; pp. 119 - 128
• Main Authors: Shao, Sihong, Tang, Huazhong
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 26-09-2005
• Subjects: Bound state; Dirac model; Interaction dynamics; Runge–Kutta discontinuous Galerkin method; Interaction dynamics; Dirac model; Bound state; Runge–Kutta discontinuous Galerkin method
• ISSN: 0375-9601; 1873-2429
• DOI: 10.1016/j.physleta.2005.07.007

This Letter presents a numerical study of the interaction dynamics for the solitary waves of a nonlinear Dirac field with scalar self-interaction by using a fourth order accurate Runge–Kutta discontinuous Galerkin (RKDG) method. Some new interaction phenomena are observed: (a) a new quasi-stable long-lived oscillating bound state from the binary collisions of a single-humped soliton and a two-humped soliton; (b) collapse in binary and ternary collisions; (c) strongly inelastic interaction in ternary collisions; and (d) bound states with a short or long lifetime from ternary collisions.