Summary
This paper deals with the deuteron as a bound state ia nucleon-nucleon scattering. The coupled Z=0 andl=2 amplitudes of the J=1, I=0NN state have been treated within the framework of relativistic partial-wave dispersion relations using the matrix extension of theN/D technique in order to solve the coupled integral equations. As left-hand singularities we take into account the contributions of one-boson-exchange terms. Furthermore, the triplet scattering length is introduced as a subtraction constant.
Riassunto
In questo articolo si tratta del deutone come stato legato nello scattering nucleonenucleone. Si sono trattate le ampiezze relativistiche accoppiatel=0 ed l=2 dello statoNN, J=1, I=0 nello schema delle relazioni di dispersione dell’onda parziale, facendo uso dell’estensione matriciale della tecnicaN/D per risolvere le equazioni integrali accoppiate. Come singolarità a sinistra si tiene conto dei contributi dei termini di scambio di un bosone. Inoltre si introduce la lunghezza di scattering del tripletto come costante di sottrazione.
Similar content being viewed by others
References
A. Scotti andD. Y. Wong:Phys. Rev.,138, B 145 (1965)
R. A. Bryan:Pole contributions to NN scattering below pion production, preprint Laboratoire Joliot-Curie de Physique Nucleaire (Orsay, 1964).
S. Sawada, T. Ueda, W. Watari andM. Yonezawa:Progr. Theor. Phys.,28, 991 (1962); 32, 380 (1964).
J. D. Bjorken:Phys. Rev. Lett,4, 473 (1960).
M. L. Goldberger, M. T. Grisaru, S. W. MacDowell andD. Y. Wong:Phys. Rev.,120, 2250 (1960).
R. Blankenbecler, M. L. Goldberger andF. K. Halpern:Nucl. Phys,12, 629 (1959).
M. Jacob andG. C. Wick:Ann. Phys.,7, 404 (1959).
J. W. Durso andP. Signell:Phys. Rev.,135, B 1057 (1964).
D. Amati, E. Leader andB. Vitale:Nuovo Cimento,17, 68 (1960);18, 409 (1960);Phys. Rev.,130, 750 (1963).
D. Y. Wong:Phys. Rev. Lett,2, 406 (1959).
M. Gourdin, M. le Bellac, F. M. Renard andJ. Tran Thanh Van:Pheno — menological description of the relativistic neutron-proton-deuteron vertex, preprint Laboratoire de Physique Théorique et Hautes Energies (Orsay, October 1964).
R. Blankenbecler andL. F. Cook:Phys. Rev.,119, 1745 (1960);
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dosch, H.G., Müller, V.F. The deuteron pole in the nucleon-nucleon scattering amplitude. Nuovo Cim 38, 1377–1384 (1965). https://doi.org/10.1007/BF02750613
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02750613