Non-topological kink scattering in a two-component scalar field theory model

Abstract

In this paper the scattering between the non-topological kinks arising in a family of two-component scalar field theory models is analyzed. A winding charge is carried by these defects. As a consequence, two different classes of kink scattering processes emerge: (1) collisions between kinks that carry the same winding number and (2) scattering events between kinks with opposite winding number. The variety of scattering channels is very rich and it strongly depends on the collision velocity and the model parameter. For the first type of events, four distinct scattering channels are found: kink reflection (kinks collide and bounce back), one-kink (partial) annihilation (the two non-topological kinks collide causing the annihilation of one half of each kink and the subsequent recombination of the other two halves, giving rise to a new non-topological kink with the opposite winding charge), winding flip kink reflection (kinks collide and emerge with the opposite winding charge) and total kink annihilation (kinks collide and decay to the vacuum configuration). For the second type of events, the scattering channels comprise bion formation (kink and antikink form a long-living bound state), kink-antikink passage (kinks collide and pass each other) and kink-antikink annihilation (kink and antikink collide and decay to the vacuum configuration).

Solitary oscillations and multiple antikink-kink pairs in the double sine-Gordon model

“…A large number of models with kink solutions have been subject of investigation, including higher-order polynomial models [17][18][19][20][21][22], models with two scalar fields [23][24][25][26], hyperbolic models [27][28][29] and multikinks [30][31][32]. One can also cite studies of interaction of kink with a boundary [33][34][35], models with generalized dynamics [36,37], with Lorentz symmetry violation [38], wobbling kinks [39] and effects of the transition a bound mode through the mass threshold during the scattering process [40][41][42].…”

Spectral walls in multifield kink dynamics

“…Hence, we expect that thin spectral walls will have a great impact on the scattering processes in already known BPS systems of two real scalars in (1+1) dimensions. Here we mention the Montonen-Sarker-Trullinger-Bishop model [10,11] and its generalizations [19,20], two-component models arising in a Wess-Zumino model [14,21], the BPS models studied in [23]- [25] as well as models with a dielectric type coupling [26] or other multiple scalar field theories [33]- [36].…”

Semi-compactness and multiple oscillating pulses in kink scattering

“…Kink scattering has been investigated in several models. One can cite the polynomials with one scalar field, for instance, modified φ 4 model [23][24][25], φ 6 model [26][27][28], φ 8 model [29][30][31], nonpolynomial [32][33][34][35], models which possess kinks with power-law tails [36][37][38] and models with two scalar fields [39][40][41][42][43][44]. Furthermore, there are studies of kink collision with a boundary [45][46][47], with impurities [48][49][50][51][52], multi-kink collision [53][54][55][56] and other models [57][58][59][60][61].…”