Two-body halos

Riisager, K.; Jensen, A. S.; Møller, P.

doi:10.1016/0375-9474(92)90691-c

Cited by 164 publications

(151 citation statements)

References 35 publications

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“…Scale invariance means independence of the length scale of the system. These conditions are rather restrictive but a number of systems are known to exist within this window [2][3][4][5][6][7]. The great advantage is that one theory is sufficient to explain properties without any detailed knowledge of the interactions [8].…”

Section: Introductionmentioning

confidence: 99%

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Universality of Brunnian (N-body Borromean) four- and five-body systems

2010

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We compute binding energies and root-mean-square radii for weakly bound systems of N = 4 and 5 identical bosons. Ground and first excited states of an N -body system appear below the threshold for binding the system with N − 1 particles. Their root-mean-square radii approach constants in the limit of weak binding. Their probability distributions are on average located in nonclassical regions of space which result in universal structures. Radii decrease with increasing particle number. The ground states for more than five particles are probably nonuniversal, whereas excited states may be universal.

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Section: Introductionmentioning

confidence: 99%

“…The range of validity for such a global theory is only well described for two and three particles [2,5,10]. For N = 4 two states were found in the zero-range, inherently universal, effective field model [11].…”

Section: Introductionmentioning

confidence: 99%

Universality of Brunnian (N-body Borromean) four- and five-body systems

2010

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“…They have been studied extensively in recent years by electromagnetic excitation with the help of the Coulomb breakup method [1,2,3,4,5]. For low orbital angular momenta of the lowest bound valence nucleon an extended diffuse density distribution, a halo, develops resulting in a large size of the nucleus [6,7,8,9,10]. Simultaneously, electromagnetic transitions to the continuum with large strength are observed at low energies.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic strength of neutron and proton single-particle halo nuclei

2005

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Electromagnetic strength functions of halo nuclei exhibit universal features that can be described in terms of characteristic scale parameters. For a nucleus with nucleon+core structure the reduced transition probability, as determined, e.g., by Coulomb dissociation experiments, shows a typical shape that depends on the nucleon separation energy and the orbital angular momenta in the initial and final states. The sensitivity to the final-state interaction (FSI) between the nucleon and the core can be studied systematically by varying the strength of the interaction in the continuum. In the case of neutron+core nuclei analytical results for the reduced transition probabilities are obtained by introducing the effective-range expansion. The scaling with the relevant parameters is found explicitly. General trends are observed by studying several examples of neutron+core and proton+core nuclei in a single-particle model assuming Woods-Saxon potentials. Many important features of the neutron halo case can be obtained from a square-well model. Rather simple analytical formulas are found. The nucleon-core interaction in the continuum affects the determination of astrophysical S factors at zero energy in the method of asymptotic normalisation coefficients (ANC). It is also relevant for the extrapolation of radiative capture cross sections to low energies.

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“…The application presented in this section is somewhat complementary to previous studies found in the literature (see, for example, Refs. [33][34][35][36][37]). …”

Section: Criterion For the Occurrence Of Halosmentioning

confidence: 99%