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SUMMARY:Three-body systems with contact interactions in one dimension
DTSTART;VALUE=DATE-TIME:20261028T133500Z
DTEND;VALUE=DATE-TIME:20261028T135000Z
DTSTAMP;VALUE=DATE-TIME:20261101T205553Z
UID:indico-contribution-6350@cern.ch
DESCRIPTION:Speakers: Anastasiya Malykh (JINR\, Dubna)\nConsidered are dif
 ferent one-dimensional three-body systems in the universal \nlow-energy li
 mit of zero-range two-body interactions.\nIncluded are the two-component s
 ystem with usual contact interactions and \nthree-component system with im
 penetrable particles. \nMain attention is paid to the possibility to find 
 analytical results and main \npatterns of the dependencies of bound-state 
 energies and scattering \ncharacteristics on the parameters of systems (in
 teraction strengths\, masses \nof particles\, parity).\n\nFor a system wit
 h usual zero-range interaction\, there are few known analytical results\, 
 \nfor example\, for systems with infinite or zero strength of interaction 
 \nbetween identical particles and with equal mass particles or for one hea
 vy \nand two light particles [1]. \nIn contrast\, for a system with impene
 trable particles due to correspondence \nto the symmetrical case of usual 
 zero-range model\, it was possible to find \nthe bound-state solution in t
 he diffraction-free (Bethe ansatz) form [2].\nMoreover\, this model for im
 penetrable particles is mathematically \nidentical to the problem of refle
 ction and diffraction of the plane or \nsurface waves by an impedance wedg
 e described in [3].\nOne more interesting problem to discuss is the scatte
 ring of dimer on a hard \nwall [4] that corresponds to the three-body syst
 em in which \none particle has infinite mass. \n\n\n[1] O.I. Kartavtsev\, 
 A.V.Malykh\, S.A. Sofianos\, ZhETF {\\bf 135}\, 419 (2009).\n\n[2] O.I. Ka
 rtavtsev\, A.V.Malykh\, to be published.\n\n[3] G. D. Maluzhinetz\, Dokl. 
 Akad. Nauk SSSR {\\bf 121}\, 436--439 (1958).\n\n[4] X. Zhang\, Sh. Tan\, 
 Phys. Rev. A {\\bf 113}\, 043312 (2026).\n\nhttps://indico.particle.mephi.
 ru/event/626/contributions/6350/
LOCATION: Conference Hall 1
URL:https://indico.particle.mephi.ru/event/626/contributions/6350/
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