A Multi-Front Eikonal Model of Cardiac Electrophysiology ...
RCNP.08 Breakup of halo nuclei with Coulomb-corrected eikonal method Y. Suzuki (Niigata)...
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Transcript of RCNP.08 Breakup of halo nuclei with Coulomb-corrected eikonal method Y. Suzuki (Niigata)...
![Page 1: RCNP.08 Breakup of halo nuclei with Coulomb-corrected eikonal method Y. Suzuki (Niigata) 1.Motivation for breakup reactions 2.Eikonal and adiabatic approximations.](https://reader033.fdocuments.us/reader033/viewer/2022051516/56649f155503460f94c2a62a/html5/thumbnails/1.jpg)
RCNP.08
Breakup of halo nuclei with Coulomb-corrected eikonal method
Y. Suzuki (Niigata)
1. Motivation for breakup reactions 2. Eikonal and adiabatic approximations 3. Coulomb-corrected eikonal model4. Application to 2n halo nuclei
Collaborators:B. Abu-Ibrahim (Cairo) P. Capel, D. Baye, P. Descouvemont (ULB)
PTP112 (2004), PTP114(2005), PRC78(2008), PRC submitted
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・ Breakup reactions are important to study halo nuclei which are characterized by weakly bound, short-lived, few-cluster structure ・ E1 strength, NN correlation are deduced from breakup cross sections FSI, breakup into continuum ・ Sound reaction theory is needed to extract structure information Perturbation expansion, Adiabatic approximation, Eikonal approximation, CDCC, …
1. Motivation
Information on B(E1) distribution First-order perturbation theory for Coulomb breakup
Contribution of other multipoles to breakup cross sections?
![Page 3: RCNP.08 Breakup of halo nuclei with Coulomb-corrected eikonal method Y. Suzuki (Niigata) 1.Motivation for breakup reactions 2.Eikonal and adiabatic approximations.](https://reader033.fdocuments.us/reader033/viewer/2022051516/56649f155503460f94c2a62a/html5/thumbnails/3.jpg)
New 2n correlation experiment (Nakamura et al.)
Taken from K. Hagino
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Target
C
f
Projectile
Eikonal approximation
2. Eikonal and adiabatic approximations
--- Case of one-neutron halo nucleus ---
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DEA (Dynamical Eikonal Approximation)
Adiabatic approx.
![Page 6: RCNP.08 Breakup of halo nuclei with Coulomb-corrected eikonal method Y. Suzuki (Niigata) 1.Motivation for breakup reactions 2.Eikonal and adiabatic approximations.](https://reader033.fdocuments.us/reader033/viewer/2022051516/56649f155503460f94c2a62a/html5/thumbnails/6.jpg)
11Be+208Pb at 69 MeV/nucleon Angle-integrated cross sections as a function of the relative energy of n-10Be fragments
Test of DEA
G. Goldstein et al. PRC73 (2006)N. Fukuda et al. PRC70 (2004)
![Page 7: RCNP.08 Breakup of halo nuclei with Coulomb-corrected eikonal method Y. Suzuki (Niigata) 1.Motivation for breakup reactions 2.Eikonal and adiabatic approximations.](https://reader033.fdocuments.us/reader033/viewer/2022051516/56649f155503460f94c2a62a/html5/thumbnails/7.jpg)
RCNP.08
Test of eikonal and adiabatic approximations
α+ n + n three-body model for 6He CDCC
T. Matsumoto et al. PRC70 (2004)
Glauber model: 3α microscopic cluster model w.f. for 12CNN profile function
Eikonal approx.: N-12C optical potential
Folding
Full
40 MeV/nucleon VMC w.f. for 6He
--- Breakup effect in elastic scattering of 6He on 12C ---
B. Abu-Ibrahim & Y.S. NPA728 (2003)
V. Lapoux et al. PRC66 (2002)
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Logarithmic divergence
Coulomb-corrected eikonal phase (CCE)
3. Coulomb-corrected eikonal
Long-ranged breakup effect (adiabatic approx. breaks down)
J. Margueron et al. NPA703 (2002)
Rutherford scattering
![Page 9: RCNP.08 Breakup of halo nuclei with Coulomb-corrected eikonal method Y. Suzuki (Niigata) 1.Motivation for breakup reactions 2.Eikonal and adiabatic approximations.](https://reader033.fdocuments.us/reader033/viewer/2022051516/56649f155503460f94c2a62a/html5/thumbnails/9.jpg)
Breakup of 11Be (one-neutron halo nucleus) on Pb PTP 112 (2004)
Test of CCE
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b-dep. of elastic breakup probability 11Be on 208Pb at 69 MeV/nucleon
CCE vs DEA
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4. Application to breakup of two-neutron halo nucleus
Challenging four-body problem including continuum final states ・ Expensive computation time ・ Final-state interaction ・ Extraction of E1 strength function or effects of other multipoles
Case study: 6He breakup on 208Pb at 70, 240 MeV/A
・ Reaction dynamics is fully taken into account in CCE model・ 6He is described with α+ n + n three-body model・ Bound and continuum states of 6He are described with HHE
RCNP.08
PRC submitted
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6He breakup on 208Pb at 70 MeV/A
Dotted lines denote final plane wavesComparison with solid lines denotes the importance of FSI.
--- Contribution of partial cross sections ---
Cross sections are directly measurable.Determining E1 strengths relies on model assumptions (e.g. 1- dominance, elimination of nuclear effects).
J=0,2 contributions: 10% at low energies, 35% at E=5MeV
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--- Double differential cross sections from 1- component ---
Core
1
2
information on correlations
The peak corresponds to the broad 1- resonance.
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6He breakup on 208Pb at 240 MeV/A
Dashed, dotted denote 1- partial cross sections
T. Aumann et al. PRC59 (1999)
No convolution
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E1 strength distribution of 6He
Myo et al. PRC63 (2001)
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RCNP.08
Summary
・ A correction is introduced to avoid the divergence due to the Coulomb interaction in the eikonal model. ・ The CCE is accurate enough to take into account the reaction dynamics, making it possible to reconstruct the properties of two- and three-body projectile wave functions.・ Bound and continuum states of three-body system are described in HH basis with full account of final state interactions.・ Various cross sections, in particular including multi-differential cross sections can be calculated.・ The contribution of various multipole transitions is quantified.・ The CCE is applied to 6He+208Pb at 70 and 240 MeV/nucleon. The results disagree with the 240 MeV data. B(E1) strength? Further new data are desirable.