Citation
Purohit, Milind Vasant (1984) Nucleon Structure Functions from ν_µFe Interactions and a Study of the Valence Quark Distribution. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/4RBKRV59. https://resolver.caltech.edu/CaltechTHESIS:04082013111418042
Abstract
Data were taken in 197980 by the CCFRR high energy neutrino experiment at Fermilab. A total of 150,000 neutrino and 23,000 antineutrino charged current events in the approximate energy range 25 < E_{v} < 250 GeV are measured and analyzed. The structure functions F_{2} and xF_{3} are extracted for three assumptions about σ_{L}/σ_{T}: R = 0., R = 0.1 and R = a QCD based expression. Systematic errors are estimated and their significance is discussed. Comparisons or the X and Q^{2} behaviour or the structure functions with results from other experiments are made.
We find that statistical errors currently dominate our knowledge of the valence quark distribution, which is studied in this thesis. xF_{3} from different experiments has, within errors and apart from level differences, the same dependence on x and Q^{2}, except for the HPWF results. The CDHS F_{2} shows a clear falloff at lowx from the CCFRR and EMC results, again apart from level differences which are calculable from crosssections.
The result for the the GLS rule is found to be 2.83 ± .15 ± .09 ± .10 where the first error is statistical, the second is an overall level error and the third covers the rest of the systematic errors. QCD studies of xF_{3} to leading and second order have been done. The QCD evolution of xF_{3}, which is independent of R and the strange sea, does not depend on the gluon distribution and fits yield
ʌ_{LO} = 88^{+163}_{78} ^{+113}_{70}MeV
The systematic errors are smaller than the statistical errors. Second order fits give somewhat different values of ʌ, although α_{s} (at Q^{2}_{0} = 12.6 GeV^{2}) is not so different.
A fit using the better determined F_{2} in place of xF_{3} for x > 0.4 i.e., q = 0 in that region, gives
ʌ_{LO} = 266^{+114}_{104} ^{+85}_{79}MeV
Again, the statistical errors are larger than the systematic errors. An attempt to measure R was made and the measurements are described. Utilizing the inequality q(x) ≥ 0 we find that in the region x > .4 R is less than 0.55 at the 90% confidence level.
Item Type:  Thesis (Dissertation (Ph.D.))  

Subject Keywords:  Physics  
Degree Grantor:  California Institute of Technology  
Division:  Physics, Mathematics and Astronomy  
Major Option:  Physics  
Thesis Availability:  Public (worldwide access)  
Research Advisor(s): 
 
Thesis Committee: 
 
Defense Date:  6 October 1983  
Funders: 
 
Record Number:  CaltechTHESIS:04082013111418042  
Persistent URL:  https://resolver.caltech.edu/CaltechTHESIS:04082013111418042  
DOI:  10.7907/4RBKRV59  
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided.  
ID Code:  7585  
Collection:  CaltechTHESIS  
Deposited By:  John Wade  
Deposited On:  08 Apr 2013 20:16  
Last Modified:  21 Dec 2019 02:12 
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