Pion absorption cross section for {sup 2}H and {sup 3}He in the {Delta}-isobar region: A phenomenological connection

Journal Article · Thu May 01 04:00:00 EDT 1997 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.55.2563· OSTI ID:565319

Kamada, H; Locher, M P; Markushin, V E ^[1]; Lee, T H ^[2]; Golak, J; Witala, H ^[3]; Gloeckle, W ^[4]

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1. Paul Scherrer Institut (PSI), CH-5232 Villigen (Switzerland)
2. Argonne National Laboratory, Argonne, Illinois 60439 (United States)
3. Institute of Physics, Jagellonian University, PL-30059 Cracow (Poland)
4. Institut fuer Theoretische Physik II, Ruhr Universitaet Bochum, D-44780 Bochum (Germany)

The absorption of {pi}{sup +} on {sup 3}He in the {Delta} region is evaluated with exact inclusion of the final state interaction among the three emerging protons. The absorption is described by a {pi}N{r_arrow}{Delta} vertex and an N{Delta}-NN transition t matrix which are calculated from a phenomenological model for NN and {pi}d reactions. In a calculation where the initial pion scattering effects are neglected, the predicted peaks of the pion absorption cross sections for {sup 2}H and {sup 3}He lie too high in energy in relation to the data. The effect of the final-state three-nucleon interaction turns out to be too small for changing the magnitude and shifting the peak position of the total absorption cross section for {sup 3}He. We demonstrate that the adjustment of the peak position for the deuteron cross section by small modifications of the {Delta} parameters automatically leads to the correct peak position in {sup 3}He. {copyright} {ital 1997} {ital The American Physical Society}

• Research Organization: Argonne National Laboratory (ANL), Argonne, IL
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 565319
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 5 Vol. 55; ISSN PRVCAN; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ABSORPTION
CROSS SECTIONS
DELTA BARYONS
DEUTERIUM TARGET
FINAL-STATE INTERACTIONS
HELIUM 3 TARGET
PION REACTIONS