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Title: Few-body multiple scattering calculations for {sup 6}He on protons

Abstract

The elastic scattering of the halo nucleus {sup 6}He from a proton target at 717 MeV/nucleon is investigated within three different multiple-scattering formulations of the total transition amplitude. The factorized impulse approximation (FIA) and the fixed scatterer approximation (FSA) of the multiple-scattering expansion are used to evaluate accurately the single-scattering terms and to test the validity of a few-body Glauber approach. The latter also includes terms beyond single scattering and the importance of these terms is investigated. The differential cross section is calculated for proton scattering from {sup 6}He at 717 MeV in inverse kinematics and compared with recent data.

Authors:
; ;  [1];  [2];  [3];  [2];  [4]
  1. Department of Physics, University of Surrey, Guildford, GU2 7XH (United Kingdom)
  2. Departamento de Fisica, Instituto Superior Tecnico, Taguspark, Av. Prof. Cavaco Silva, Taguspark, 2780-990 Porto Salvo, Oeiras (Portugal)
  3. (Portugal)
  4. (Spain)
Publication Date:
OSTI Identifier:
20991021
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevC.75.024608; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; DIFFERENTIAL CROSS SECTIONS; ELASTIC SCATTERING; FSC APPROXIMATION; HELIUM 6; IMPULSE APPROXIMATION; MEV RANGE 100-1000; MULTIPLE SCATTERING; PROTONS; TRANSITION AMPLITUDES

Citation Formats

Al-Khalili, J. S., Johnson, R. C., Thompson, I. J., Crespo, R., Centro de Fisica Nuclear, Av Prof. Gama Pinto, 2, 1699, Moro, A. M., and Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Sevilla, Apdo. 1065, E-41080 Sevilla. Few-body multiple scattering calculations for {sup 6}He on protons. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.024608.
Al-Khalili, J. S., Johnson, R. C., Thompson, I. J., Crespo, R., Centro de Fisica Nuclear, Av Prof. Gama Pinto, 2, 1699, Moro, A. M., & Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Sevilla, Apdo. 1065, E-41080 Sevilla. Few-body multiple scattering calculations for {sup 6}He on protons. United States. doi:10.1103/PHYSREVC.75.024608.
Al-Khalili, J. S., Johnson, R. C., Thompson, I. J., Crespo, R., Centro de Fisica Nuclear, Av Prof. Gama Pinto, 2, 1699, Moro, A. M., and Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Sevilla, Apdo. 1065, E-41080 Sevilla. Thu . "Few-body multiple scattering calculations for {sup 6}He on protons". United States. doi:10.1103/PHYSREVC.75.024608.
@article{osti_20991021,
title = {Few-body multiple scattering calculations for {sup 6}He on protons},
author = {Al-Khalili, J. S. and Johnson, R. C. and Thompson, I. J. and Crespo, R. and Centro de Fisica Nuclear, Av Prof. Gama Pinto, 2, 1699 and Moro, A. M. and Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Sevilla, Apdo. 1065, E-41080 Sevilla},
abstractNote = {The elastic scattering of the halo nucleus {sup 6}He from a proton target at 717 MeV/nucleon is investigated within three different multiple-scattering formulations of the total transition amplitude. The factorized impulse approximation (FIA) and the fixed scatterer approximation (FSA) of the multiple-scattering expansion are used to evaluate accurately the single-scattering terms and to test the validity of a few-body Glauber approach. The latter also includes terms beyond single scattering and the importance of these terms is investigated. The differential cross section is calculated for proton scattering from {sup 6}He at 717 MeV in inverse kinematics and compared with recent data.},
doi = {10.1103/PHYSREVC.75.024608},
journal = {Physical Review. C, Nuclear Physics},
number = 2,
volume = 75,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}
  • We extend the ab initio no-core shell model/resonating-group method (NCSM/RGM) to projectile-target binary-cluster states where the projectile is a deuteron. We discuss the formalism in detail and give algebraic expressions for the integration kernels. Using a soft similarity-renormalization-group evolved chiral nucleon-nucleon potential, we calculate deuteron-{sup 4}He scattering and investigate {sup 6}Li bound and unbound states. Virtual three-body breakup effects are obtained in an approximated way by including excited pseudostates of the deuteron in the calculation. We compare our results to experiment and to a standard NCSM calculation for {sup 6}Li.
  • Data for scattering of {sup 6}He from {sup 197}Au, {sup 208}Pb, and {sup 209}Bi targets at low energies were consistently analyzed by use of the continuum-discretized coupled-channels method and the dineutron model of the projectile. A very good description of the experimental data was obtained with the strength of the dipole couplings reduced by 50%. We find that the dipole couplings are responsible for the suppression of the Coulomb rainbow and that the quadrupole couplings must be included in the calculations in order to obtain good agreement with the elastic-scattering data at more backward angles.
  • In this work we obtain the astrophysical reaction and production rates for the two-particle radiative capture processes alpha+n+n-> {sup 6}He+gamma and alpha+alpha+n-> {sup 9}Be+gamma. The hyperspherical adiabatic expansion method is used. The four-body recombination reactions alpha+alpha+n+n-> {sup 6}He+alpha, alpha+n+n+n-> {sup 6}He+n, alpha+alpha+n+n-> {sup 9}Be+n and alpha+alpha+alpha+n-> {sup 9}Be+alpha are also investigated.
  • Experimental and theoretical cross sections are presented for the /sup 6/Li(/sup 3/He,/sup 3/He/sup 3/He)/sup 3/H and /sup 6/Li(/sup 3/He,t/sup 3/He)/sup 3/He reactions for the symmetric angle pairs 20/sup 0/-20/sup 0/, 28.3/sup 0/-28.3/sup 0/, and 35/sup 0/-35/sup 0/. The theoretical cross sections are calculated in a three-body model where the trions (i.e., mass-3 nuclei) are treated as elementary particles with /sup 6/Li being a /sup 3/He-/sup 3/H bound state. The trion-trion interaction is represented by S wave separable potentials with the breakup cross sections calculated with the tree-body Haftel-Ebenhoeh code. the Coulomb interaction is taken into account by fitting the separablemore » potential parameters to the trion-trion scattering data and is included approximately in the breakup code. The experimental cross sections are compared with both the plane-wave impulse approximation and the three-body model predictions. The plane-wave impulse approximation predicts both the shapes and magnitudes poorly (10 to 20 times experiment). Without Coulomb corrections the three-body model gives good agreement with experiment for the shapes of the spectra with the magnitudes generally being about 40% of experiment for /sup 6/Li(/sup 3/He,/sup 3/He/sup 3/He)/sup 3/H and about 80% for /sup 6/Li(/sup 3/He,t /sup 3/He)/sup 3/He. The Coulomb corrections improve the magnitudes predicted by the three-body model but not the shapes. It is observed that for these reactions S wave separable potentials describe the breakup data much better than they do the two-body trion-trion scattering data. This result should encourage further three-body treatment of these and similar reactions.« less