The πNN bound-state problem

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Abstract

Bound-state solutions for the system composed of a pion and two nucleons are studied, and it is shown that their existence is essentially determined by the range of the πN interaction in momentum space. The relativistic Faddeev equations are solved to search for bound-state solutions of a negative pion and two neutrons, using the newly constructed πN separable potentials that reproduce the phase shift of the P33 channel from 0 to 350 MeV, and realistic NN interactions such as the Reid soft-core, Paris, and Malfliet-Tjon potentials. It is found that bound-state solutions are possible for some of the πN interactions that have very long range in momentum space. © 1983.
Original languageAmerican English
Pages (from-to)559-572
Number of pages501
JournalNuclear Physics, Section A
DOIs
StatePublished - 7 Nov 1983
Externally publishedYes

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Mesons
Neutrons
Paris
pions
momentum
Faddeev equations
interactions
nucleons
phase shift
neutrons

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title = "The πNN bound-state problem",
abstract = "Bound-state solutions for the system composed of a pion and two nucleons are studied, and it is shown that their existence is essentially determined by the range of the πN interaction in momentum space. The relativistic Faddeev equations are solved to search for bound-state solutions of a negative pion and two neutrons, using the newly constructed πN separable potentials that reproduce the phase shift of the P33 channel from 0 to 350 MeV, and realistic NN interactions such as the Reid soft-core, Paris, and Malfliet-Tjon potentials. It is found that bound-state solutions are possible for some of the πN interactions that have very long range in momentum space. {\circledC} 1983.",
author = "Humberto Garcilazo",
year = "1983",
month = "11",
day = "7",
doi = "10.1016/0375-9474(83)90245-2",
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}

The πNN bound-state problem. / Garcilazo, Humberto.

In: Nuclear Physics, Section A, 07.11.1983, p. 559-572.

Research output: Contribution to journalArticle

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N2 - Bound-state solutions for the system composed of a pion and two nucleons are studied, and it is shown that their existence is essentially determined by the range of the πN interaction in momentum space. The relativistic Faddeev equations are solved to search for bound-state solutions of a negative pion and two neutrons, using the newly constructed πN separable potentials that reproduce the phase shift of the P33 channel from 0 to 350 MeV, and realistic NN interactions such as the Reid soft-core, Paris, and Malfliet-Tjon potentials. It is found that bound-state solutions are possible for some of the πN interactions that have very long range in momentum space. © 1983.

AB - Bound-state solutions for the system composed of a pion and two nucleons are studied, and it is shown that their existence is essentially determined by the range of the πN interaction in momentum space. The relativistic Faddeev equations are solved to search for bound-state solutions of a negative pion and two neutrons, using the newly constructed πN separable potentials that reproduce the phase shift of the P33 channel from 0 to 350 MeV, and realistic NN interactions such as the Reid soft-core, Paris, and Malfliet-Tjon potentials. It is found that bound-state solutions are possible for some of the πN interactions that have very long range in momentum space. © 1983.

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