A 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. Technical Report No. 238
Abstract
The one-pion-exchange and two-pion-exchange parts of the S-matrix for nucleon-nucleon scattering are calculated field-theoretically. The rescattering of virtual pions by nucleons and the pion-pion interaction between virtual pions are taken into account. The S-matrix is then decomposed into the partial-wave amplitudes, and the phase shifts are calculated. Numerical evaluations are carried out for the 310-Mev proton-proton scattering, and the results are compared with the phase shifts obtained by analyzing the experimental data. It is found that, without contribution of the pion-pion interaction, the results are far from agreement with experiment because of too strong attraction arising from the contributions of the two-pion-exchange part, but the contribution of the pion- pion resonance in the I = J = 1 state improves the results considerably by largely cancelling the attraction. It is, however, also found that definite discrepancies still remain between the theory and the experiments, and this suggests that some unknown effects must play important roles in determining the nuclear force in the region of the internucleon distance around the Compton wave length of the pion. (auth)
- Authors:
- Publication Date:
- Research Org.:
- Maryland. Univ., College Park
- OSTI Identifier:
- 4819456
- Report Number(s):
- AFOSR-2117
- NSA Number:
- NSA-16-018319
- DOE Contract Number:
- AF49(638)-24
- Resource Type:
- Technical Report
- Resource Relation:
- Other Information: Orig. Receipt Date: 31-DEC-62
- Country of Publication:
- United States
- Language:
- English
- Subject:
- PHYSICS; FIELD THEORY; INTERACTIONS; MATRICES; NUCLEONS; NUMERICALS; PHASE SHIFT; PIONS; PROTONS; QUANTUM MECHANICS; S-MATRIX; SCATTERING; SPECTRAL SHIFT
Citation Formats
Sato, I. A 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. Technical Report No. 238. United States: N. p., 1962.
Web.
Sato, I. A 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. Technical Report No. 238. United States.
Sato, I. 1962.
"A 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. Technical Report No. 238". United States.
@article{osti_4819456,
title = {A 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. Technical Report No. 238},
author = {Sato, I},
abstractNote = {The one-pion-exchange and two-pion-exchange parts of the S-matrix for nucleon-nucleon scattering are calculated field-theoretically. The rescattering of virtual pions by nucleons and the pion-pion interaction between virtual pions are taken into account. The S-matrix is then decomposed into the partial-wave amplitudes, and the phase shifts are calculated. Numerical evaluations are carried out for the 310-Mev proton-proton scattering, and the results are compared with the phase shifts obtained by analyzing the experimental data. It is found that, without contribution of the pion-pion interaction, the results are far from agreement with experiment because of too strong attraction arising from the contributions of the two-pion-exchange part, but the contribution of the pion- pion resonance in the I = J = 1 state improves the results considerably by largely cancelling the attraction. It is, however, also found that definite discrepancies still remain between the theory and the experiments, and this suggests that some unknown effects must play important roles in determining the nuclear force in the region of the internucleon distance around the Compton wave length of the pion. (auth)},
doi = {},
url = {https://www.osti.gov/biblio/4819456},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 1962},
month = {Mon Jan 01 00:00:00 EST 1962}
}