TY - JOUR
T1 - Nucleon structure functions from a chiral soliton in the infinite momentum frame
AU - Gamberg, L.
N1 - Funding Information:
∗Supported in part by the Deutsche Forschungsgemeinschaft (DFG) under contract Re 856/2-3, the Graduiertenkolleg Hadronen und Kerne at Tübingen University, and the U.S. Department of Energy (D.O.E.) under contract DE-FE-02-95ER40923. yHeisenberg Fellow. Present address: Massachusetts Institute of Technology, Center for Theoretical Physics, 77 Massachusetts Ave, Cambridge, MA 02139, USA.
PY - 1998
Y1 - 1998
N2 - We study the frame dependence of nucleon structure functions obtained within a chiral soliton model for the nucleon. Employing light cone coordinates and introducing collective coordinates together with their conjugate momenta, translational invariance of the solitonic quark fields (which describe the nucleon as a localized object) is restored. This formulation allows us to perform a Lorentz boost to the infinite momentum frame of the nucleon. The major result is that the Lorentz contraction associated with this boost causes the leading twist contribution to the structure functions to properly vanish when the Bjorken variable x exceeds unity. Furthermore we demonstrate that for structure functions calculated in the valence quark approximation to the Nambu-Jona-Lasinio chiral soliton model the Lorentz contraction also has significant effects on the structure functions for moderate values of the Bjorken variable x.
AB - We study the frame dependence of nucleon structure functions obtained within a chiral soliton model for the nucleon. Employing light cone coordinates and introducing collective coordinates together with their conjugate momenta, translational invariance of the solitonic quark fields (which describe the nucleon as a localized object) is restored. This formulation allows us to perform a Lorentz boost to the infinite momentum frame of the nucleon. The major result is that the Lorentz contraction associated with this boost causes the leading twist contribution to the structure functions to properly vanish when the Bjorken variable x exceeds unity. Furthermore we demonstrate that for structure functions calculated in the valence quark approximation to the Nambu-Jona-Lasinio chiral soliton model the Lorentz contraction also has significant effects on the structure functions for moderate values of the Bjorken variable x.
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U2 - 10.1142/S0217751X98002511
DO - 10.1142/S0217751X98002511
M3 - Article
AN - SCOPUS:0001049125
SN - 0217-751X
VL - 13
SP - 5519
EP - 5534
JO - International Journal of Modern Physics A
JF - International Journal of Modern Physics A
IS - 32
ER -