TY - JOUR
T1 - Scattering and resonances in QCD2
AU - Frishman, Yitzhak
AU - Karliner, Marek
N1 - Funding Information:
The research of one of us (M.K.) was supported in part by a grant from the United States–Israel Binational Science Foundation (BSF), Jerusalem and by the Einstein Center for Theoretical Physics at the Weizmann Institute.
PY - 2002/8/15
Y1 - 2002/8/15
N2 - Extending previous works on the spectrum of QCD2, we now investigate the 2D analogue of meson-baryon scattering. We use semi-classical methods, perturbing around classical soliton solutions. We start with the Abelian case, corresponding to one flavor, and find that in this case the effective potential is reflectionless. We obtain an explicit expression for the forward phase shift. In the non-Abelian case of several flavors, the method yields a potential which depends on the momentum of the incoming particle. In this case there is both transmission and reflection. In both cases no resonances appear. As a byproduct, we derive the general conditions for a 2D scalar quantum field theoretical action to yield a reflectionless effective potential when one expands in small fluctuations about the classical solution.
AB - Extending previous works on the spectrum of QCD2, we now investigate the 2D analogue of meson-baryon scattering. We use semi-classical methods, perturbing around classical soliton solutions. We start with the Abelian case, corresponding to one flavor, and find that in this case the effective potential is reflectionless. We obtain an explicit expression for the forward phase shift. In the non-Abelian case of several flavors, the method yields a potential which depends on the momentum of the incoming particle. In this case there is both transmission and reflection. In both cases no resonances appear. As a byproduct, we derive the general conditions for a 2D scalar quantum field theoretical action to yield a reflectionless effective potential when one expands in small fluctuations about the classical solution.
UR - http://www.scopus.com/inward/record.url?scp=0037103540&partnerID=8YFLogxK
U2 - 10.1016/S0370-2693(02)02179-2
DO - 10.1016/S0370-2693(02)02179-2
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:0037103540
SN - 0370-2693
VL - 541
SP - 273
EP - 280
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 3-4
ER -