Ядерна фізика та енергетика Nuclear Physics and Atomic Energy   ISSN: 1818-331X (Print), 2074-0565 (Online)   Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine   Languages: Ukrainian, English   Periodicity: 4 times per year   Open access peer reviewed journal

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E. O. Dubovyk<sup>1

1</sup>Institute of Electrophysics and Radiation Technologies, National Academy of Sciences of Ukraine, Kharkiv, Ukraine

Abstract: The "clothing" procedure in quantum field theory is applied for the description of nucleon-nucleon (N - N) scattering and deuteron properties. We consider the system of interacting fermion and meson fields with the Yukawa-type couplings to introduce trial interactions between "bare" particles. Special unitary transformations are used to express the primary total Hamiltonian through new creation/annihilation operators for the so-called clothed particles (these quasiparticles of our approach). We are focused upon the Hermitian and energy-independent interactions (quasipotentials) between the clothed nucleons, being built up in the second order in the coupling constants. The interactions are the kernels of integral equations for the T-matrix of N - N scattering and the deuteron wave function in momentum space. We discuss distinctions between our quasipotentials and the Bonn potential. Numerical solutions of these equations are compared with those by the Bonn group.

Keywords: quantum field theory, nucleon-nucleon scattering, deuteron, Bonn potential.

1. Shebeko A.V., Shirokov M. I. Unitary Transformations in Quantum Field Theory and Bound States. Phys. Part. Nucl. 32 (2001) 15. https://doi.org/10.48550/arXiv.nucl-th/0102037

2. Machleidt R., Holinde K., Elster C. The Bonn meson-exchange model for the nucleon-nucleon interaction. Phys. Rep. 149 (1987) 1. https://doi.org/10.1016/S0370-1573(87)80002-9

3. Weinberg S. The Quantum Theory of Fields. Ch. 7 (Cambridge: University Press, 1995) 609 p. https://doi.org/10.1017/CBO9781139644167

4. Korda V., Canton L., Shebeko A. Relativistic interactions for the meson-two-nucleon system in the clothed-particle unitary representation. Ann. Phys. 322 (2007) 736. https://doi.org/10.1016/j.aop.2006.07.010

5. Dubovyk I., Shebeko A. The Method of Unitary Clothing Transformations in the Theory of Nucleon-Nucleon Scattering. Proc. of the 19-th Int. IUPAP Conf. on Few-Body Problems in Physics. Ed. by E. Epelbaum et al. (Bonn, 2009) p.1.

6. Dubovyk I., Shebeko A. The Method of Unitary Clothing Transformations in the Theory of Nucleon-Nucleon Scattering. Few Body Syst. 48 (2010) 109. https://doi.org/10.1007/s00601-010-0097-5

7. Machleidt R. The Meson Theory of Nuclear Forces and Nuclear Structure. Adv. Nucl. Phys. 19 (1989) 189. https://doi.org/10.1007/978-1-4613-9907-0_2