On cross section transformations in reactions with three outgoing fragments

Fuchs, H.

doi:10.1016/0167-5087(82)90455-0

Cited by 68 publications

(56 citation statements)

References 3 publications

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“…where the phase space term ρ(Ω c , Ω v , E c ), i.e., the number of states per unit core energy interval at solid angles Ω c and Ω v , takes the form [30]:…”

Section: Two-and Three-body Observablesmentioning

confidence: 99%

Extracting three-body breakup observables from continuum-discretized coupled-channels calculations with core excitations

2017

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Background Core-excitation effects in the scattering of two-body halo nuclei have been investigated in previous works. In particular, these effects have been found to affect in a significant way the breakup cross sections of neutron-halo nuclei with a deformed core. To account for these effects, appropriate extensions of the continuum-discretized coupled-channels (CDCC) method have been recently proposed.Purpose We aim to extend these studies to the case of breakup reactions measured under complete kinematics or semi-inclusive reactions in which only the angular or energy distribution of one of the outgoing fragments is measured.Method We use the standard CDCC method as well as its extended version with core excitations (XCDCC), assuming a pseudo-state basis for describing the projectile states. Two-and three-body observables are computed by projecting the discrete two-body breakup amplitudes, obtained within these reaction frameworks, onto two-body scattering states with definite relative momentum of the outgoing fragments and a definite state of the core nucleus.Results Our working example is the one-neutron halo 11 Be. Breakup reactions on protons and 64 Zn targets are studied at 63.7 MeV/nucleon and 28.7 MeV, respectively. These energies, for which experimental data exist, and the targets provide two different scenarios where the angular and energy distributions of the fragments are computed. The importance of core dynamical effects is also compared for both cases. ConclusionsThe presented method provides a tool to compute double and triple differential cross sections for outgoing fragments following the breakup of a two-body projectile, and might be useful to analyze breakup reactions with other deformed weakly-bound nuclei, for which core excitations are expected to play a role. We have found that, while dynamical core excitations are important for the proton target at intermediate energies, they are very small for the Zn target at energies around the Coulomb barrier.

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“…where the phase space term ρ(Ω c , Ω v , E c ), i.e., the number of states per unit core energy interval at solid angles Ω c and Ω v , takes the form [30]:…”

Section: Two-and Three-body Observablesmentioning

confidence: 99%

Extracting three-body breakup observables from continuum-discretized coupled-channels calculations with core excitations

2017

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“…With our T -matrix normalisations, and non-relativistic kinematics, the necessary three-body phase space factor ρ(E c , Ω c , Ω v ), the density of states per unit core particle energy interval for detection at solid angles Ω v and Ω c , is [27] ρ…”

Section: Three-body Observablesmentioning

confidence: 99%

Calculations of three-body observables in8Bbreakup

2001

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We discuss calculations of three-body observables for the breakup of 8 B on a 58 Ni target at low energy using the coupled discretised continuum channels approach. Calculations of both the angular distribution of the 7 Be fragments and their energy distributions are compared with those measured at several laboratory angles. In these observables there is interference between the breakup amplitudes from different spin-parity excitations of the projectile. The resulting angle and the energy distributions reveal the importance of the higher-order continuum state couplings for an understanding of the measurements.

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“…In Eq. (16), ρ(phase) is the three-body phase-space factor [25,26]. It should be noted that the integrand in Eq.…”

Section: Methods Of Calculationsmentioning

confidence: 99%

Imaginary deuteron optical potential due to elastic and inelastic breakup

Ingemarsson¹,

Shyam

1999

Phys. Rev. C

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The contributions to the reaction cross section from the elastic and inelastic breakup processes, calculated within the post-form distorted wave Born-approximation theory, are used as constraints to determine the contributions to the imaginary part of the deuteron optical potentials (IPDOP) due to the breakup channels. The Coulomb part of this potential due to the elastic breakup process is seen to account for the long range absorption in the optical potential. The nuclear parts of the IPDOP due to the elastic and inelastic breakup modes peak in different regions of the nuclear surface, with the latter being almost an order of magnitude larger than the former. This makes the IPDOP due to the breakup channels determined by us stronger than those calculated earlier ignoring the inelastic breakup mode.

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On cross section transformations in reactions with three outgoing fragments

Cited by 68 publications

References 3 publications

Extracting three-body breakup observables from continuum-discretized coupled-channels calculations with core excitations

Extracting three-body breakup observables from continuum-discretized coupled-channels calculations with core excitations

Calculations of three-body observables in8Bbreakup

Imaginary deuteron optical potential due to elastic and inelastic breakup

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