1. Full name: Vu Toan Thang                                                      2. Sex: Male

3. Date of birth: September 12th , 1976                                      4. Place of birth: Ha Noi

5. Admission decision number: No 4438/QĐ-ĐHKHTN, dated on November 26th , 2015 by Rector of VNU University of Science.

6. Changes in academic process:

Extension decision number 4735 /QĐ-ĐHKHTN, dated on December 28th, 2018 by Rector of VNU University of Science.

7. Official thesis title: Eikonal Approximation for High Energy Scattering in Quantum Field Theory.

8. Major: Theoretical physics and mathematics physics

9. Code: 9440130.01

10. Supervisors:

            Prof.Dr.Sc. Nguyen Xuan Han

            Assoc.Prof.Dr. Nguyen Nhu Xuan

11. Summary of the new findings of the thesis

- The modified perturbation theory has been improved and completed based on the Logunov-Tavkhelidze quasi-potential equation. The eikonal representation for the leading scattering amplitude and its corrections have been obtained at high energy and fixed momentum transfer.

- We obtained the Glauber type representation for the scattering amplitude of Dirac particles in Foldy - Wouthuysen representation. The scattering amplitude is the sum of two terms, corresponding to non-spin-flip and spin-flip during the scattering process.

- We proposed a method for studying the scattering of a scalar pion on nucleons with the anomalous magnetic moment in the framework of the functional integration method in quantum field theory. The eikonal representation for the scattering amplitude in high energy region is obtained, including two respective terms, non-spin-flip and spin-flip in the scattering process.

- We also obtained the interference phase formula for the scattering problem on the sum of two different potentials: Gauss-Coulomb and Yukawa-Coulomb. This result is equivalent to Bethe’s result by the quasi-classical method.

12. Practical applicability, if any:

- By improving and developing the modified perturbation theory helps us find the leading term and the correction terms of the scattering amplitude in the case that the interaction constant increases with energy, opening up the applicability for quantum gravity.

- The results obtained for high energy scattering amplitude can be used to explain a large number of current experimental data related to the spin as well as the internal structure of the particle.

13. Further research directions, if any

- Continue to complete the modified perturbation theory and expand calculations to higher order corrections of the scattering amplitude.

- Extend the obtained results for the scattering problem in the gravitational field.

14. Thesis-related publications:

[1].       Nguyen Suan Han, Nguyen Nhu Xuan, Vu Toan Thang (2014), “High Energy Scattering of Particles with Anomalous Magnetic Moment in Quantum Field Theory”, VNU Journal of Science: Mathematics – Physics 30(3), pp 37-48.

[2].       Nguyen Suan Han, Nguyen Nhu Xuan, Vu Toan Thang (2015), “Coulomb-nuclear Interference and Partial Wave Method”, VNU Journal of Science: Mathematics – Physics 31(1S), pp 108-114.

[3].       Nguyen Suan Han, Le Anh Dung, Nguyen Nhu Xuan, Vu Toan Thang (2016), “High Energy Scattering of Dirac Particles on Smooth Potentials”, International Journal of  Modern Physics A 31(23), pp 1650126-1(18 pages).

[4].       Nguyen Suan Han, Nguyen Nhu Xuan, Vu Toan Thang (2017), “Applying the Modified Pertubation Theory to High Energy Scattering in the Quasipotential Approach”, Journal of Physical Science and Application 7(4), pp 47-58.

[5].       Vu Toan Thang (2019), “The Corrections to the High Energy Scattering in the Framework of Modified Pertubation Theory”, Scientific Journal of Hanoi Metropolitan University 35, pp 72-82.