Field-Theoretical Calculation of the One-Pion-Exchange and Two-Pion-Exchange Contributions to the Phase-Shifts with Higher Angular Momenta for Nucleon-Nucleon Scattering

1962 ◽  
Vol 127 (4) ◽  
pp. 1352-1364 ◽  
Author(s):  
Iwao Sato
Keyword(s):  
Theoretical Calculation ◽  
Nucleon Nucleon ◽  
Phase Shifts ◽  
Pion Exchange ◽  
Nucleon Scattering ◽  
Angular Momenta ◽  
The One

The phase-functions method and scalar amplitude of nucleon–nucleon scattering

2016 ◽  
Vol 25 (11) ◽  
pp. 1650088
Author(s):  
V. I. Zhaba
Keyword(s):  
Single Channel ◽  
Scattering Amplitude ◽  
Nucleon Nucleon ◽  
Phase Shifts ◽  
Computational Method ◽  
Nucleon Scattering ◽  
The Difference ◽  
Scalar Scattering ◽  
Scalar Amplitude ◽  
Phase Functions

A known phase-functions method (PFM) has been considered for calculation of a single-channel nucleon–nucleon scattering. The following partial waves of a nucleon–nucleon scattering have been considered using the phase shifts by PFM: 1S0-, 3P0-, 3P1-, 1D2-, 3F3-states for nn-scattering, 1S0-, 3P0-, 3P1-, 1D2-states for pp-scattering and 1S0-, 1P1-, 3P0-, 3P1-, 1D2-, 3D2-states for np-scattering. The calculations have been carried out using phenomenological nucleon–nucleon Nijmegen group potentials (NijmI, NijmII, Nijm93 and Reid93) and Argonne v18 potential. The scalar scattering amplitude has been calculated using the obtained phase shifts. Our results are not much different from those obtained by using the known phase shifts published in other papers. The difference between calculations depending on a computational method of phase shifts makes: for real (imaginary) parts 0.14–4.36% (0.16–4.05%) for NijmI. 0.02–4.79% (0.08–3.88%) for NijmII. 0.01–5.49% (0.01–4.14%) for Reid93 and 0.01–5.11% (0.01–2.40%) for Argonne v18 potentials.

scholarly journals Perturbative Renormalizability of Chiral Two Pion Exchange and Power Counting in Nucleon-Nucleon Scattering

2010 ◽  
Author(s):  
Manuel Pavón Valderrama ◽  
Juan M. Nieves ◽  
Eulogio Oset ◽  
Manuel J. Vicente-Vacas
Keyword(s):  
Nucleon Nucleon ◽  
Power Counting ◽  
Pion Exchange ◽  
Nucleon Scattering
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