pi. - sup 40 Ca elastic scattering

Journal Article · Mon Apr 01 04:00:00 EST 1991 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.43.1911· OSTI ID:5607528

Junker, K ^[1]; Karapiperis, T ^[2]; Kobayashi, M ^[1]

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1. Paul Scherrer Institut, 5232 Villigen, Switzerland (CH)
2. Institut fuer Theoretische Physik III der Universitaet Erlangen-Nuernberg, 8520 Erlangen, Federal Republic of Germany (DE)

Elastic differential, total, and integrated reaction {pi}{sup {plus minus}}-{sup 40}Ca cross sections are calculated in a semimicroscopic model for incident energies from 65 to 292 MeV. Kinematical and binding effects, as well as Pauli blocking of {Delta} decay are calculated exactly on a shell-model basis, whereas shadowing due to multihole channels is represented by means of a phenomenological spreading potential with central and spin-orbit parts. Compared to lighter targets, the central {Delta}-nucleus potential scales to a very good accuracy with the target mass number. The strength of the potential has smooth energy dependence up to {ital T}{sub {pi}}=241 MeV. Below 100 MeV a repulsive {ital S}-wave {rho}{sup 2} term in the optical potential is required in order to fit the experimental angular distribution. At 292 MeV comparison with the measured elastic cross section favors a strongly repulsive spreading potential. The distorted pion wave function is calculated and an interesting focusing effect is observed at low energies. The total {pi}{sup {plus minus}}-{sup 40}Ca cross section is partitioned into elastic and reaction parts. Our calculation agrees well with an experimentally extracted {pi}{sup +}-{sup 40}Ca elastic-scattering amplitude at {theta}=0{degree}, but disagrees for {pi}{sup {minus}}. Finally, a pion absorption'' cross section is calculated and its physical interpretation is discussed.

• OSTI ID: 5607528
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Journal Name: Physical Review, C (Nuclear Physics); (USA) Vol. 43:4; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CALCIUM 40 TARGET
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
ELASTIC SCATTERING
ENERGY RANGE
HADRON REACTIONS
INTEGRAL CROSS SECTIONS
MESON REACTIONS
MEV RANGE
MEV RANGE 10-100
MEV RANGE 100-1000
NUCLEAR REACTIONS
PION MINUS REACTIONS
PION PLUS REACTIONS
PION REACTIONS
SCATTERING
TARGETS
TOTAL CROSS SECTIONS