On the momentum of solitons and vortex rings in a superfluid

Year: 2014

Authors: Pitaevskii LP.

Autors Affiliation: Russian Acad Sci, Kapitza Inst Phys Problems, Moscow 119334, Russia; Univ Trento, Dipartimento Fis, I-38123 Trento, Povo, Italy; INO CNR BEC Ctr, I-38123 Trento, Povo, Italy.

Abstract: This paper is devoted to the calculation of the momentum of localized excitations, such as solitons and vortex rings, moving in a superfluid. The direct calculation of the momentum by integration of the mass flux density results in a badly-converging integral. I suggest a method for the renormalization of the integral with the explicit separation of a term related to the vortex line. This term can be calculated explicitly and gives the main contribution for the rings whose size is large compared to the healing length. I compare my method with the Jones and Roberts prescription for renormalization. I investigate the case of a uniform superfluid, and that of a superfluid in a cylindrical trap. I discuss the calculation of the jump in the phase of the order parameter and obtain a simple estimate for this jump.

Journal/Review: JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS

Volume: 119 (6)      Pages from: 1097  to: 1101

More Information: This work was supported by the European Research Council through the QGBE grant, the Provincia Autonoma di Trento, and the Italian MIUR through the PRIN-2009 grant.
KeyWords: Bose Condensate; Motions
DOI: 10.1134/S1063776114120152

Citations: 2
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