Core excitation in three-body systems: Application to 12Be

Nunes, F. M.; Christley, J.A.; Thompson, I. J.; Johnson, Roch Christian; Efros, V.D.

doi:10.1016/0375-9474(96)00284-9

Cited by 108 publications

(161 citation statements)

References 32 publications

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“…All models D3B, D, and S include the GPT NN interaction [26], as in previous three-body studies [27,28,29,30]. This interaction reproduces NN observables up to 300 MeV.…”

Section: B Description Of Modelsmentioning

confidence: 84%

Three-body model for the two-neutron emission ofBe16

2017

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Background: While diproton decay was first theorized in 1960 and first measured in 2002, it was first observed only in 2012.The measurement of 14 Be in coincidence with two neutrons suggests that 16 Be does decay through the simultaneous emission of two strongly correlated neutrons.Purpose: In this work, we construct a full three-body model of 16 Be (as 14 Be + n + n) in order to investigate its configuration in the continuum and in particular the structure of its ground state.Method: In order to describe the three-body system, effective n-14 Be potentials were constructed, constrained by the experimental information on 15 Be. The hyperspherical R-matrix method was used to solve the three-body scattering problem, and the resonance energy of 16 Be was extracted from a phase shift analysis.Results: In order to reproduce the experimental resonance energy of 16 Be within this three-body model, a three-body interaction was needed. For extracting the width of the ground state of 16 Be, we use the full width at half maximum of the derivative of the three-body phase shifts and the width of the three-body elastic scattering cross section. Conclusions:Our results confirm a dineutron structure for 16 Be, dependent on the internal structure of the subsystem 15 Be.

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“…All models D3B, D, and S include the GPT NN interaction [26], as in previous three-body studies [27,28,29,30]. This interaction reproduces NN observables up to 300 MeV.…”

Section: B Description Of Modelsmentioning

confidence: 84%

Three-body model for the two-neutron emission ofBe16

2017

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“…Full details of the formalism of the hyperspherical harmonics method, when including core excitation, is presented in Refs. [30,25].…”

Section: Three-body Modelmentioning

confidence: 99%

“…Once these states are constructed, the projection operator on to the forbidden states space can be defined and they can be projected out of the allowed three-body space, according to the standard Feshbach procedure [32,33]. Details can be found in [30]. Such an approach is well suited to the treatment of core nuclei with closed shells.…”

Section: The Pauli Principlementioning

confidence: 99%

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Study of 14Be with core excitation

2004

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“…However, the fact that the 11 Be ground state is a 1/2 + state and not a 1/2 − state (as dictates the spherical shell model) is frequently attributed to the quadrupole core excitation effects only. That is, the parity inversion in 11 Be is usually described within the simple particle-vibration coupling model (PVM) [3][4][5][6], or within the simple particle-rotor coupling model (PRM) [7][8][9][10], where the correlations among the valence particles, coming from the residual interaction, are totally neglected 1 .…”

Section: Introductionmentioning

confidence: 99%

Pairing correlations in odd-mass carbon isotopes and effect of Pauli principle in particle–core coupling in 13C and 11Be

et al. 2007

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We present an exploratory study of structure of 13 C, 15 C, 17 C and 19 C, showing that the simple one-quasiparticle projected BCS (PBCS) model is capable to account for several important properties of these nuclei. Next we discuss the importance of the Pauli Principle in the particle-core models of normal-parity states in 13 C and 11 Be. This is done by considering the pairing interaction between nucleons moving in an over-all deformed potential. To assess the importance of pairing correlations in these light nuclei we use both the simple BCS and the PBCS approximations. We show that the Pauli Principle plays a crucial role in the parity inversion in 11 Be. It is also found that the effect of the particle number conservation in relatively light and/or exotic nuclei is quite significant. Comparison of our results with several recent papers on the same subject, as well as with some experimental data, is presented.

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Core excitation in three-body systems: Application to 12Be

Cited by 108 publications

References 32 publications

Three-body model for the two-neutron emission ofBe16

Three-body model for the two-neutron emission ofBe16

Study of 14Be with core excitation

Pairing correlations in odd-mass carbon isotopes and effect of Pauli principle in particle–core coupling in 13C and 11Be

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