Theory of elastic π3He scattering

Y. Avishai; T. Mizutani

doi:10.1016/0375-9474(82)90024-0

Theory of elastic π³He scattering

Y. Avishai, T. Mizutani

Department of Physics

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4 Scopus citations

Abstract

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 language	English
Pages (from-to)	470-480
Number of pages	11
Journal	Nuclear Physics A
Volume	375
Issue number	3
DOIs	https://doi.org/10.1016/0375-9474(82)90024-0
State	Published - 15 Feb 1982

ASJC Scopus subject areas

Nuclear and High Energy Physics

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title = "Theory of elastic π3He scattering",

abstract = "The pion-three-nucleon system is investigated using coupled Schr{\"o}dinger 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.",

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AU - Mizutani, T.

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/49049136621

U2 - 10.1016/0375-9474(82)90024-0

DO - 10.1016/0375-9474(82)90024-0

M3 - Article

AN - SCOPUS:49049136621

SN - 0375-9474

VL - 375

SP - 470

EP - 480

JO - Nuclear Physics A

JF - Nuclear Physics A

IS - 3

ER -

Theory of elastic π³He scattering

Abstract

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