Analytical E1 strength functions of two-neutron halo nuclei: the 6He example

Forssén, Christian; Efros, V.D.; Zhukov, M. V.

doi:10.1016/s0375-9474(01)01260-x

Cited by 13 publications

(9 citation statements)

References 46 publications

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“…For that purposes we have applied the cluster three-body hyperspherical harmonic model that gives the most simple and physically transparent description of the two-neutron halo structure. To simulate the absence of a bound 21 C we used a shallow 20 C-neutron potential that does not allow 21 C to bind, and we fixed its strength to the required binding energy of 22 C. These simulations show that, to reach the experimentally suggested lower boundary of the extracted matter radius, the separation energy S 2n of two neutrons in 22 C should be of the order of tens of keV, while to reach the mean value the binding must be much weaker. Within the cluster model the matter extension of the nucleus is directly connected to the distance between the matter and charge c.m.…”

Section: Discussionmentioning

confidence: 99%

“…Within a cluster three-body ( 20 C + n + n) model the bound-state properties of 22 C are defined by the intercluster potentials. The main problem in selecting binary potentials between the constituents is the absence of experimental information about the neutron-core system, beyond the fact that a bound state of 21 C does not exist. Within the shell-model picture this implies that the 1s 1/2 orbit is unbound.…”

Section: A Bound-state Propertiesmentioning

confidence: 99%

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Binding energy constraint on matter radius and soft dipole excitations of22C

2012

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An unusually large value of the 22 C matter radius has recently been extracted from measured reaction cross sections. The giant size can be explained by a very loose binding that is, however, not known experimentally yet. Within the three-body cluster model we have explored the sensitivity of the s-motion-dominated 22 C geometry to the two-neutron separation energy. A low energy of a few tens of keV is required to reach the alleged experimental lower value of the matter radius, while the experimental mean radius requires an extremely tiny binding. The dependence of the 22 C charge radius on the two-neutron separation energy is also presented. The soft dipole mode in 22 C is shown to be strongly affected by the loose binding and should be studied in the process of Coulomb fragmentation.

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Section: Discussionmentioning

confidence: 99%

Section: A Bound-state Propertiesmentioning

confidence: 99%

Binding energy constraint on matter radius and soft dipole excitations of22C

2012

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“…Our approach will be general in the sense that both neutron-rich and proton-rich systems can be studied. This model was first presented in [5] while similar approaches also exist for one-neutron [6,7] and two-neutron [8][9][10] halo nuclei. Although advanced numerical investigations are readily performed utilizing present day computer power, an analytical approach might have an advantage when exploring general physics features, and the sensitivity to different model assumptions.…”

Section: Introductionmentioning

confidence: 86%

Radiative capture and electromagnetic dissociation involving loosely bound nuclei: The8Bexample

2003

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Electromagnetic processes in loosely bound nuclei are investigated using an analytical model. In particular, electromagnetic dissociation of 8 B is studied and the results of our analytical model are compared to numerical calculations based on a three-body picture of the 8 B bound state. The calculation of energy spectra is shown to be strongly model dependent. This is demonstrated by investigating the sensitivity to the rms intercluster distance, the few-body behavior, and the effects of final state interaction. In contrast, the fraction of the energy spectrum which can be attributed to E1 transitions is found to be almost model independent at small relative energies. This finding is of great importance for astrophysical applications as it provides us with a new tool to extract the E1 component from measured energy spectra. An additional, and independent, method is also proposed as it is demonstrated how two sets of experimental data, obtained with different beam energy and/or minimum impact parameter, can be used to extract the E1 component.

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“…"Loosely bound" implies that the nucleus will exhibit a large degree of clusterization. We will consider the case of two clusters, but will also discuss the three-cluster channel (see also similar approaches for one-neutron [3,4,5] and two-neutron [6,7,8] halo nuclei). After a general description of our model we will exemplify it with an application to 8 B.…”

mentioning

confidence: 99%

“…However, concerning the structure of the 8 B ground state, one should keep in mind that the 7 Be core is in itself a weakly bound system with an excited 1/2 − state at 429 keV. The common treatment of 8 B as a two-body system is therefore highly questionable.…”

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confidence: 99%

Analytical approach to electromagnetic processes in loosely bound nuclei: application to 8B

Forssén¹,

Shul'gina²,

Zhukov³

2002

Physics Letters B

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In this paper we develop an analytical model in order to study electromagnetic processes involving loosely bound neutron-rich and proton-rich nuclei. We construct a model wave function, to describe loosely bound few-body systems, having the correct behaviour both at large and small distances. The continuum states are approximated by regular Coulomb functions. As a test case we consider the twobody Coulomb dissociation of 8 B and, the inverse, radiative capture reaction. The difference between using a pure two-body model and the results obtained when incorporating many-body effects, is investigated. We conclude that the interpretation of experimental data is highly model dependent and stress the importance of measuring few-body channels.

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Analytical E1 strength functions of two-neutron halo nuclei: the 6He example

Cited by 13 publications

References 46 publications

Binding energy constraint on matter radius and soft dipole excitations of22C

Binding energy constraint on matter radius and soft dipole excitations of22C

Radiative capture and electromagnetic dissociation involving loosely bound nuclei: The8Bexample

Analytical approach to electromagnetic processes in loosely bound nuclei: application to 8B

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