quark transverse momentum in longitudinal nucleon structure
DESCRIPTION
Quark Transverse Momentum in Longitudinal Nucleon Structure. By Daniel Koch. With Wally Melnitchouk Rolf Ent Pedro Jimenez-Delgado. Outline. Motivation Past Models Current Theoretical Models Comparison With Data Future Work. Motivation. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Quark Transverse Momentum in Longitudinal Nucleon Structure](https://reader035.vdocuments.us/reader035/viewer/2022062323/5681621e550346895dd24465/html5/thumbnails/1.jpg)
QUARK TRANSVERSE MOMENTUM IN LONGITUDINAL NUCLEON STRUCTURE
By Daniel Koch
With Wally MelnitchoukRolf EntPedro Jimenez-Delgado
![Page 2: Quark Transverse Momentum in Longitudinal Nucleon Structure](https://reader035.vdocuments.us/reader035/viewer/2022062323/5681621e550346895dd24465/html5/thumbnails/2.jpg)
OUTLINE Motivation Past Models Current Theoretical Models Comparison With Data Future Work
![Page 3: Quark Transverse Momentum in Longitudinal Nucleon Structure](https://reader035.vdocuments.us/reader035/viewer/2022062323/5681621e550346895dd24465/html5/thumbnails/3.jpg)
MOTIVATION Understand the 3-D structure of the nucleon
Longitudinal momentum fraction x
kT , the primordial transverse momentum
Expected that R, , is particularly sensitive to quark transverse momentum
1972, Feynman model
![Page 4: Quark Transverse Momentum in Longitudinal Nucleon Structure](https://reader035.vdocuments.us/reader035/viewer/2022062323/5681621e550346895dd24465/html5/thumbnails/4.jpg)
EARLY ATTEMPTS TO INCORPORATE KT IN QPM
From the early QPM (Quark Parton Model), for small kT2
Generalized QPM, with arbitrary kT2
Inconsistent treatment of 1/Q2 corrections
Hwa, Matsuda, Roberts, Z.Phys.C1,279(1979)
![Page 5: Quark Transverse Momentum in Longitudinal Nucleon Structure](https://reader035.vdocuments.us/reader035/viewer/2022062323/5681621e550346895dd24465/html5/thumbnails/5.jpg)
KINEMATICS Breit Frame:
![Page 6: Quark Transverse Momentum in Longitudinal Nucleon Structure](https://reader035.vdocuments.us/reader035/viewer/2022062323/5681621e550346895dd24465/html5/thumbnails/6.jpg)
is the transverse momentum dependent PDFwhere
![Page 7: Quark Transverse Momentum in Longitudinal Nucleon Structure](https://reader035.vdocuments.us/reader035/viewer/2022062323/5681621e550346895dd24465/html5/thumbnails/7.jpg)
TMD PDF
Eg. Gaussian form
Normalization of TMD PDF
In general, x and kT dependence may be coupled
Usually one assumes factorizable distribution
![Page 8: Quark Transverse Momentum in Longitudinal Nucleon Structure](https://reader035.vdocuments.us/reader035/viewer/2022062323/5681621e550346895dd24465/html5/thumbnails/8.jpg)
From factorizable model,
Flavor dependence
No longer has kT dependence in the denominator
Additional x dependence
![Page 9: Quark Transverse Momentum in Longitudinal Nucleon Structure](https://reader035.vdocuments.us/reader035/viewer/2022062323/5681621e550346895dd24465/html5/thumbnails/9.jpg)
RESULTS Comparison of Models with Data on R
![Page 10: Quark Transverse Momentum in Longitudinal Nucleon Structure](https://reader035.vdocuments.us/reader035/viewer/2022062323/5681621e550346895dd24465/html5/thumbnails/10.jpg)
Our model matches more closely to Feynman’s
![Page 11: Quark Transverse Momentum in Longitudinal Nucleon Structure](https://reader035.vdocuments.us/reader035/viewer/2022062323/5681621e550346895dd24465/html5/thumbnails/11.jpg)
The model favors a small value for the quark mass
![Page 12: Quark Transverse Momentum in Longitudinal Nucleon Structure](https://reader035.vdocuments.us/reader035/viewer/2022062323/5681621e550346895dd24465/html5/thumbnails/12.jpg)
X DEPENDENCE AT CONSTANT Q2
The data suggests a much stronger x dependence than our model
![Page 13: Quark Transverse Momentum in Longitudinal Nucleon Structure](https://reader035.vdocuments.us/reader035/viewer/2022062323/5681621e550346895dd24465/html5/thumbnails/13.jpg)
Our model shows some correct x dependence , unlike Hwa et al. and Feynman
![Page 14: Quark Transverse Momentum in Longitudinal Nucleon Structure](https://reader035.vdocuments.us/reader035/viewer/2022062323/5681621e550346895dd24465/html5/thumbnails/14.jpg)
Our model suggests a value for between 0.1 ~ 0.15 GeV2
![Page 15: Quark Transverse Momentum in Longitudinal Nucleon Structure](https://reader035.vdocuments.us/reader035/viewer/2022062323/5681621e550346895dd24465/html5/thumbnails/15.jpg)
CONCLUSIONS kT dependence is non-negligible
<kT2> is ~ 0.1 to 0.15 GeV2 based on our model
Hwa et al. model happens to accommodates larger values of <K>
x dependence from the data suggests need for flavor dependent <K> or a need for a non-factorizable form for the PDF
![Page 16: Quark Transverse Momentum in Longitudinal Nucleon Structure](https://reader035.vdocuments.us/reader035/viewer/2022062323/5681621e550346895dd24465/html5/thumbnails/16.jpg)
IN PROGRESS… Implement modern PDF sets
Perform (chi) ^2 fit for complete set of world’s data on R
Explore longitudinal structure function in SIDIS
Explore Models of R at low Q2
![Page 17: Quark Transverse Momentum in Longitudinal Nucleon Structure](https://reader035.vdocuments.us/reader035/viewer/2022062323/5681621e550346895dd24465/html5/thumbnails/17.jpg)
THANK YOU