skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Nucleon-nucleon scattering with the complex scaling method and realistic interactions

Publication Date:
Sponsoring Org.:
OSTI Identifier:
Grant/Contract Number:
DESC0008485; FG02-87ER40371
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 91; Journal Issue: 2; Journal ID: ISSN 0556-2813
American Physical Society
Country of Publication:
United States

Citation Formats

Papadimitriou, G., and Vary, J. P. Nucleon-nucleon scattering with the complex scaling method and realistic interactions. United States: N. p., 2015. Web. doi:10.1103/PhysRevC.91.021001.
Papadimitriou, G., & Vary, J. P. Nucleon-nucleon scattering with the complex scaling method and realistic interactions. United States. doi:10.1103/PhysRevC.91.021001.
Papadimitriou, G., and Vary, J. P. 2015. "Nucleon-nucleon scattering with the complex scaling method and realistic interactions". United States. doi:10.1103/PhysRevC.91.021001.
title = {Nucleon-nucleon scattering with the complex scaling method and realistic interactions},
author = {Papadimitriou, G. and Vary, J. P.},
abstractNote = {},
doi = {10.1103/PhysRevC.91.021001},
journal = {Physical Review C},
number = 2,
volume = 91,
place = {United States},
year = 2015,
month = 2

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevC.91.021001

Citation Metrics:
Cited by: 4works
Citation information provided by
Web of Science

Save / Share:
  • An exact method to obtain the wave function of the neutron-deuteron system at energies below the breakup threshold is presented. The scattering length and the effective range are calculated in the case of three local potentials. The quantity k cotd as a function of energy is given for one of these interactions. As for the triton case, realistic potentials are unable to cope completely with experimental data.
  • The technique for solving the /sup 4/He problem is described and a convergent solution is obtained on the basis of ''local'' realistic NN interactions. The properties of these interactions are discussed and it is shown that the corresponding binding energy of /sup 4/He is too small. The hyperspherical-harmonic method is used. A convenient technique is suggested for the case of a large number of quantum numbers. The Young operators are written in a simplified form. Hyper-radial functions are discussed. The properties of the approximations and convergence questions are discussed.
  • A set of realistic {ital NN} interactions is used to study the convergence properties of the main characteristics of {sup 3}H and {sup 3}He and the accuracy of reproduction of the three-nucleon wave function in the method of hyperspherical harmonics (MHH). It is shown that a suitably reconstructed MHH basis (projected onto a subspace of essential'' three-particle states) ensures the accuracy of the results and practical convergence of the asymptotic tail of the wave function for a total number of basis states {ital N}{approx lt}1500. The reasons for previous discrepancies between the Feddeev and MHH calculations are determined and themore » results of the two methods are brought into agreement. The dependence of the characteristics of {sup 3}H and {sup 3}He on the weight of the D wave in the deuteron and on the form of the three-nucleon forces is discussed.« less
  • The approach to {ital y} scaling previously adopted to obtain the nucleon momentum distribution in the two- and three-nucleon systems is extended to the case of complex nuclei and nuclear matter. The basic elements of this approach, which takes properly into account nucleon binding and momentum, are reviewed. A new method of analysis, which allows one to obtain the experimental asymptotic scaling function from inclusive cross sections even if these data are affected by final-state interactions, is proposed and illustrated. By such a method, the asymptotic scaling functions of {sup 3}He, {sup 4}He, {sup 12}C, {sup 56}Fe, and nuclear mattermore » are obtained from recent experimental data and it is demonstrated that, particularly at high negative values of the scaling variable, the available data points at the highest value of the momentum transfer are affected by final-state interaction and cannot therefore be considered to represent the asymptotic scaling function. It is shown that, unlike what is commonly stated, the nucleon momentum distribution is not simply defined in terms of the derivative of the asymptotic scaling function, but as a sum of such a derivative plus the derivative of a quantity, the binding correction, generated by the removal energy distribution of nucleons embedded in the nuclear medium.« less