dorsal/arxiv
View SchemaStructure of and E2 transition in $^{16}$C in a $^{14}$C+n+n model
| Authors | W. Horiuchi, Y. Suzuki |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0601061 |
| URL | https://arxiv.org/abs/nucl-th/0601061 |
| DOI | 10.1103/PhysRevC.73.037304 10.1103/PhysRevC.74.019901 |
| Journal | Phys.Rev.C73:037304,2006; Erratum-ibid.C74:019901,2006 |
Abstract
A three-body model of $^{14}$C+n+n is applied to study the energy spectrum and the hindered $E$2 transition in $^{16}$C. A realistic two-nucleon potential is used for the valence neutrons. Both spin singlet and triplet components for the neutrons are taken into account. The three-body problem with a Pauli constraint is solved in a stochastic variational method. For the n-$^{14}$C potential chosen to reproduce the properties of $^{15}$C, the low-lying energy spectrum agrees reasonably well with experiment, but the ground state is predicted to be about 1 MeV high. The calculated $B(E2$; $2_1^+ \to 0^+_1)$ value is about twice the measured value if the polarization charge of the valence neutrons is taken to be the same as that required to fit the $^{15}$C data. The correlated motion of the valence neutrons is displayed through the two-neutron density distribution.
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"abstract": "A three-body model of $^{14}$C+n+n is applied to study the energy spectrum\nand the hindered $E$2 transition in $^{16}$C. A realistic two-nucleon potential\nis used for the valence neutrons. Both spin singlet and triplet components for\nthe neutrons are taken into account. The three-body problem with a Pauli\nconstraint is solved in a stochastic variational method. For the n-$^{14}$C\npotential chosen to reproduce the properties of $^{15}$C, the low-lying energy\nspectrum agrees reasonably well with experiment, but the ground state is\npredicted to be about 1 MeV high. The calculated $B(E2$; $2_1^+ \\to 0^+_1)$\nvalue is about twice the measured value if the polarization charge of the\nvalence neutrons is taken to be the same as that required to fit the $^{15}$C\ndata. The correlated motion of the valence neutrons is displayed through the\ntwo-neutron density distribution.",
"arxiv_id": "nucl-th/0601061",
"authors": [
"W. Horiuchi",
"Y. Suzuki"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.73.037304 10.1103/PhysRevC.74.019901",
"journal_ref": "Phys.Rev.C73:037304,2006; Erratum-ibid.C74:019901,2006",
"title": "Structure of and E2 transition in $^{16}$C in a $^{14}$C+n+n model",
"url": "https://arxiv.org/abs/nucl-th/0601061"
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