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Exploring continuum structures with a pseudo-state basis

Lay, J A·Moro, A M·Arias, J M·Gomez-Camacho, J
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Abstract

The ability of a recently developed square-integrable discrete basis to represent the properties of the continuum of a two-body system is investigated. The basis is obtained performing a simple analytic local scale transformation to the harmonic oscillator basis. Scattering phase-shifts and the electric transition probabilities B(E1) and B(E2) have been evaluated for several potentials using the proposed basis. Both quantities are found to be in excellent agreement with the exact values calculated from the true scattering states. The basis has been applied to describe the projectile continuum in the {sup 6}He scattering by {sup 12}C and {sup 208}Pb targets at 240 MeV/nucleon and the {sup 11}Be scattering by {sup 12}C at 67 MeV/nucleon. The calculated breakup differential cross sections are found to be in very good agreement with the available experimental data for these reactions.

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73 NUCLEAR PHYSICS AND RADIATION PHYSICSALKALINE EARTH ISOTOPESBARYONSBERYLLIUM 11BERYLLIUM ISOTOPESBETA DECAY RADIOISOTOPESBETA-MINUS DECAY RADIOISOTOPESCARBON 12 TARGETCROSS SECTIONSDIFFERENTIAL CROSS SECTIONSE1-TRANSITIONSE2-TRANSITIONSELEMENTARY PARTICLESENERGY RANGEENERGY-LEVEL TRANSITIONSEVEN-EVEN NUCLEIEVEN-ODD NUCLEIFERMIONSHADRONSHARMONIC OSCILLATORSHELIUM 6HELIUM ISOTOPESISOTOPESLEAD 208 TARGETLIGHT NUCLEIMANY-BODY PROBLEMMEV RANGEMEV RANGE 100-1000MILLISECONDS LIVING RADIOISOTOPESMULTIPOLE TRANSITIONSNUCLEINUCLEONSPHASE SHIFTPROBABILITYRADIOISOTOPESSCATTERINGSECONDS LIVING RADIOISOTOPESTARGETSTRANSFORMATIONSTWO-BODY PROBLEM

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Lay, J A, Moro, A M, Arias, J M, Gomez-Camacho, J. 2010-08-15. Exploring continuum structures with a pseudo-state basis. https://doi.org/10.1103/physrevc.82.024605

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