Theory of elastic π3He scattering

Y. Avishai, T. Mizutani

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


The pion-three-nucleon system is investigated using coupled Schrödinger equations. The coupling between the four-body (πNNN) and three-body (NNN) systems is explicitly implemented by operators for emission and absorption of the pion by each nucleon. The only simplifying assumption is the separable form for amplitudes pertaining to pure potential scattering. A set of Amado-Lovelace type equations is derived, from which the amplitude for the reaction π + 3He→ π + 3He can be evaluated. The integral equations involve intermediate integration over single relative momenta so that subsequent numerical solution is within reach.

Original languageEnglish
Pages (from-to)470-480
Number of pages11
JournalNuclear Physics A
Issue number3
StatePublished - 15 Feb 1982

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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