This title appears in the Scientific Report :
2012
Please use the identifier:
http://hdl.handle.net/2128/10238 in citations.
Please use the identifier: http://dx.doi.org/10.1007/s00601-012-0480-5 in citations.
Different Methods for the Two-Nucleon T-Matrix in the Operator Form
Different Methods for the Two-Nucleon T-Matrix in the Operator Form
We compare three methods to calculate the nucleon-nucleon t-matrix based on the three-dimensional formulation of J. Golak et al., Phys. Rev. C 81, 034006, (2010). In the first place we solve a system of complex linear inhomogeneous equations directly for the t-matrix. Our second method is based on i...
Saved in:
Personal Name(s): | Golak, Jacek (Corresponding author) |
---|---|
Skibinski, R. / Witała, H. / Topolnicki, K. / Glöckle, W. / Nogga, Andreas / Kamada, H. | |
Contributing Institute: |
Theorie der starken Wechselwirkung; IKP-3 Theorie der Starken Wechselwirkung; IAS-4 |
Published in: | Few-body systems, 53 3-4, S. 237 - 252 |
Imprint: |
Wien [u.a.]
Springer
2012
|
DOI: |
10.1007/s00601-012-0480-5 |
Document Type: |
Journal Article |
Research Program: |
Hadron Structure and Dynamics (HSD) |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1007/s00601-012-0480-5 in citations.
We compare three methods to calculate the nucleon-nucleon t-matrix based on the three-dimensional formulation of J. Golak et al., Phys. Rev. C 81, 034006, (2010). In the first place we solve a system of complex linear inhomogeneous equations directly for the t-matrix. Our second method is based on iterations and a variant of the Lanczos algorithm. In the third case we obtain the t-matrix in two steps, solving a system of real linear equations for the k-matrix expansion coefficients and then solving an on-shell equation, which connects the scalar coefficients of the k- and t-matrices. A very good agreement among the three methods is demonstrated for selected nucleon-nucleon scattering observables using a chiral next-to-next-to-leading-order neutron-proton potential. We also apply our three-dimensional framework to the demanding problem of proton-proton scattering, using a corresponding version of the nucleon-nucleon potential and supplementing it with the (screened) Coulomb force, taken also in the three-dimensional form. We show converged results for two different screening functions and find a very good agreement with other methods dealing with proton-proton scattering. |