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• W2057159390 abstract "The impulse approximation of pion production reactions is studied by developing a relativistic formalism, consistent with that used to define the nucleon-nucleon potential. For plane wave initial states we find that the usual one-body (1B) expression O_1B is replaced by O_2B=-iK(m_pi/2)O_1B/m_pi, where K(m_pi/2) is the sum of all irreducible contributions to nucleon-nucleon scattering with energy transfer of m_pi/2. We show that O_2B is approximately O_1B for plane wave initial states. For distorted waves, we find that the usual operator is replaced with a sum of two-body operators that are well approximated by the operator O_2B. Our new formalism solves the (previously ignored) problem of energy transfer forbidding a one-body impulse operator. Using a purely one pion exchange deuteron, the net result is that the impulse amplitude for np --> d pi^0 at threshold is enhanced by a factor of approximately two. This amplitude is added to the larger rescattering amplitude and, although experimental data remain in disagreement, the theoretical prediction of the threshold cross section is brought closer to (and in agreement with) the data." @default.
• W2057159390 created "2016-06-24" @default.
• W2057159390 creator A5007333633 @default.
• W2057159390 creator A5075830372 @default.
• W2057159390 date "2011-06-24" @default.
• W2057159390 modified "2023-10-09" @default.
• W2057159390 title "Impulse approximation in nuclear pion production reactions: Absence of a one-body operator" @default.
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• W2057159390 doi "https://doi.org/10.1103/physrevc.83.064003" @default.
• W2057159390 hasPublicationYear "2011" @default.
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