Microscopic coupled-channel description of pion inelastic scattering from rotational nuclei

Journal Article · Sun May 01 00:00:00 EDT 1994 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.49.2592· OSTI ID:5013272

Bartel, J; Johnson, M B; Singham, M; Stocker, W ^[1]

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1. Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

We establish the applicability of a microscopic coupled-channel theory to pion inelastic scattering from rotational nuclei for the purpose of studying details of neutrons and proton densities. The theory is completely specified as a result of our taking the second-order pion-nucleus optical potential from previous phenomenological studies of elastic and charge-exchange data on spherical nuclei and of our using nuclear wave functions obtained from a Hartree-Fock + BCS calculation with the Skyrme SKM[sup *] interaction. Making multipole expansions leads to a set of coupled equations, which is solved for the scattering cross sections in a standard manner. Numerical studies are presented for the specific nucleus [sup 152]Sm. The theory is shown to be stable with respect to truncation of the expansions: we find rapid convergence of the cross sections for elastic scattering and inelastic scattering to the first 2[sup +] and 4[sup +] states as transition densities of successively higher multipolarity are added, and as the number of coupled rotational nuclear levels is increased. Medium modifications are included and have a small but significant effect on the cross section: for scattering to the 2[sup +] state, their effect is about 10% for both [pi][sup [minus]] and [pi][sup +]. We also quantify the extent of sensitivity of pion scattering cross sections to variations in the size and shape of the neutron and proton distribution using parametrized Woods-Saxon forms for the density.

• OSTI ID: 5013272
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Vol. 49:5; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
INELASTIC SCATTERING
COUPLED CHANNEL THEORY
PION REACTIONS
SAMARIUM 152 TARGET
ROTATIONAL STATES
CROSS SECTIONS
HARTREE-FOCK METHOD
NEUTRON DENSITY
PROTON DENSITY
SKYRME POTENTIAL
CALCULATION METHODS
CHARGED-PARTICLE REACTIONS
ENERGY LEVELS
EXCITED STATES
HADRON REACTIONS
MESON REACTIONS
NUCLEAR REACTIONS
NUCLEON-NUCLEON POTENTIAL
POTENTIALS
SCATTERING
TARGETS
663460* - Meson- & Hyperon-induced Reactions & Scattering- (1992-)
663300 - Nuclear Reactions & Scattering
General- (1992-)
663570 - Nuclear Mass Ranges- A=150-189- (1992-)