Abstract
A simple quantization concept for a 3-dim QCD string is used to derive properties of QCD flux tube from the mass spectrum of light mesons and to predict observable quantum effects in correlations between adjacent hadrons. The quantized fragmentation model is presented and compared with experimental observations.
Highlights
The Lund string fragmentation[1], which is using a 1-dimensional string to model the QCD confinement, imposes a space-like distance between the string breakup vertices forming a hadron
The model has to rely on the concept of quantum tunneling to generate intrinsic transverse momenta of hadrons
The situation changes substantially if the 1-dimensional string is replaced by a 3-dimensional string and the quantum tunneling turned into gluon splitting into quark-antiquark pair with a negligible momentum in the rest frame of the string
Summary
The Lund string fragmentation[1], which is using a 1-dimensional string to model the QCD confinement, imposes a space-like distance between the string breakup vertices forming a hadron. The mass spectrum of pseudoscalar mesons is used to extract the parameters of the helical QCD field and its quantum properties; the fit of the spectrum indicates a rather narrow radius of the helical string (κR= 68 ±2 MeV) and the quantized phase difference ΔΦ =2.82 ± 0.06 rad which translates into a quantized ground state transverse energy (ET |n=1 ∼ 0.193 GeV) It is the numerical value of ΔΦ which suggests there should be a significant charge-combination asymmetry in the production of chains of ground state pions: while adjacent (unlike-sign) pairs of pions have to go apart in the transverse plane, the like-sign pion pairs with rank 21 should have a relatively small opening angle of 2.(π − 2.8) ∼ 0.7 rad. Ij where mπ is the pion mass, and Qi j the momentum difference between pairs of hadrons forming the chain
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