Three-body model for an isoscalar spin-triplet neutron-proton pair in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Sb</mml:mi><mml:mprescripts /><mml:none /><mml:mn>102</mml:mn></mml:mmultiscripts></mml:math>

Tanimura, Yusuke; Sagawa, H.

doi:10.1103/physrevc.93.064319

Cited by 4 publications

(8 citation statements)

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“…Thus, the assumption of the inert core might be too simple. In fact, some physical quantities were not reproduced well in the previous work [14,15]. One is able to consider the effect of core breaking by extending the active model space to include one or more lower shells and performing a large scale shell model calculation.…”

Section: Introductionmentioning

confidence: 89%

“…The three-body model also has an advantage to focus on the two-body subsystem consisting of two valence particles and provides us a beneficial understanding of pairing correlations in the ground state and spin-isospin excitations. For this reason, in the previous work [14,15], N = Z odd-odd nuclei, which are made up of one proton, one neutron, and an even-even core nucleus with mass A = 14 to 100, were investigated in order to study the effect of isospin T = 0 and T = 1 pairing correlations between the proton and neutron. It was found that the SU(4) multiplets [16], which are characterized by the nucleon spin-isospin plane, are remarkably present in 18 F and 42 Sc and result in strong magnetic dipole (M1) and Gamow-Teller (GT) transitions.…”

Section: Introductionmentioning

confidence: 99%

“…The assumption of an inert core in the three-body model [14,15] looks reasonable as long as the energy region in question is below the first excited state of the core nucleus. However, it has been seen that a residual two-body interaction significantly breaks the stationary structure of a core nucleus even for spherical magic nuclei [17,18].…”

Section: Introductionmentioning

confidence: 99%

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Spin–isospin properties of $$\varvec{N=Z}$$ odd–odd nuclei from a core+$$\varvec{pn}$$ three-body model including core excitations

Minato

Tanimura

2020

Eur. Phys. J. A

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Background: For N = Z odd-odd nuclei, a three-body model assuming two valence particles and an inert core can provide an understanding of pairing correlations in the ground state and spin-isospin excitations. However, since residual core-nucleon interactions can have a significant impact on these quantities, the inclusion of core excitations in the model is essential for useful calculation to be performed. Purpose: The effect of core excitations must be included in order to gain a detailed understanding of both the ground state and spin-isospin properties of these systems. To this end, we include the vibrational excitation of the core nucleus in our model. Methods: We solve the three-body core-nucleon-nucleon problem including core vibrational states to obtain the nuclear ground state as well as spin-isospin excitations. The core vibrational states are described by the randomphase-approximation. The spin-isospin excitations are examined from the point of view of SU(4) multiplets. Results: By including the effect of core excitation, the following experimental quantities of N = Z odd-odd nuclei are better described: (a) the magnetic moment of the ground states, (b) the energy difference between the first 0 + and 1 + states, and (c) the B(M 1) and B(GT) between 0 + and 1 + states. In addition, the coupling with the core vibration induces quenching and damping in B(M 1) and B(GT), and the root mean square distances between proton and neutron and that between the center of mass of proton and neutron and core nucleus increase. Large B(M 1) and B(GT) observed for 18 F and 40 Ca were explained in terms of the SU(4) symmetry. Conclusions: The core nucleus is meaningfully broken by the residual core-nucleon interactions, and various quantities concerning spin-isospin excitations as well as the ground state become consistent with experimental data. Including the core excitation in the three-body model is thus important for a more detailed understanding of nuclear structure.

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Section: Introductionmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Spin–isospin properties of $$\varvec{N=Z}$$ odd–odd nuclei from a core+$$\varvec{pn}$$ three-body model including core excitations

Minato

Tanimura

2020

Eur. Phys. J. A

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“…The effects of the S = 1 pair interaction on the GT transition strengths have been thoroughly studied * E-mail: kyoshida@ruby.scphys.kyoto-u.ac.jp in N = Z odd-odd nuclei with a three-body model of two nucleons around a spherical core [21][22][23]. A remarkable feature found in N = Z odd-odd nuclei with an LS-closed core ( 4 He, 16 O, 40 Ca) is the appearance of the low-energy state with a strong GT strength.…”

Section: Introductionmentioning

confidence: 99%

Spin-triplet proton-neutron pair in spin-dipole excitations

Yoshida,

Tanimura

2021

Preprint

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Background: Spin-triplet (S = 1) proton-neutron (pn) pairing in nuclei has been under debate. It is well known that the dynamical pairing affects the nuclear matrix element of the Gamow-Teller (GT) transition and the double beta decay.Purpose: We investigate the effect of the pn-pair interaction in the T = 0, S = 1 channel on the low-lying spin-dipole (SD) transition. We then aim at clarifying the distinction of the role in between the SD and GT transitions.Method: We perform a three-body model calculation for the transition 80 Ni → 80 Cu, where 78 Ni is taken as a core. The strength of the pair interaction is varied to see the effect on the SD transition-strength distribution. To fortify the finding obtained by the three-body model, we employ the nuclear energy-density functional method for the SD transitions in several nuclei, where one can expect a strong effect. Results:The effect of the S = 1 pn-pair interaction depends on the spatial overlap of the pn pair and the angular momentum of the valence nucleons; the higher the angular momentum of the orbitals, the more significant the effect. Conclusions:The dynamical S = 1 pairing is effective even for SD states although the spatial overlap of the pn pair can be smaller than GT states. The SD transition involving high-orbitals with the same principal quantum number is strongly affected by the dynamical S = 1 pairing.

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“…The effects of the S = 1 pair interaction on the GT transition strengths have been thoroughly studied in N = Z odd-odd nuclei with a three-body model of two nucleons around a spherical core [28][29][30]. A remarkable feature found in N = Z odd-odd nuclei with an LS-closed core ( 4 He, 16 O, 40 Ca) is the appearance of the low-energy state with a strong GT strength.…”

Section: Introductionmentioning

confidence: 99%

Spin-triplet proton-neutron pair in spin-dipole excitations

Yoshida

Tanimura

2021

Phys. Rev. C

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Background: Spin-triplet (S = 1) proton-neutron (pn) pairing in nuclei has been under debate. It is well known that the dynamical pairing affects the nuclear matrix element of the Gamow-Teller (GT) transition and the double β decay. Purpose: We investigate the effect of the pn-pair interaction in the T = 0, S = 1 channel on the low-lying spin-dipole (SD) transition. We then aim at clarifying the distinction of the role in between the SD and GT transitions. Method: We perform a three-body model calculation for the transition 80 Ni → 80 Cu, where 78 Ni is taken as a core. The strength of the pair interaction is varied to see the effect on the SD transition-strength distribution. To fortify the finding obtained by the three-body model, we employ the nuclear energy-density functional method for the SD transitions in several nuclei, where one can expect a strong effect. Results: The effect of the S = 1 pn-pair interaction depends on the spatial overlap of the pn pair and the angular momentum of the valence nucleons; the higher the angular momentum of the orbitals, the more significant the effect. Conclusions:The dynamical S = 1 pairing is effective even for SD states, although the spatial overlap of the pn pair can be smaller than GT states. The SD transition involving high-orbitals with the same principal quantum number is strongly affected by the dynamical S = 1 pairing.

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Three-body model for an isoscalar spin-triplet neutron-proton pair inSb102

Cited by 4 publications

References 44 publications

Spin–isospin properties of $$\varvec{N=Z}$$ odd–odd nuclei from a core+$$\varvec{pn}$$ three-body model including core excitations

Spin–isospin properties of $$\varvec{N=Z}$$ odd–odd nuclei from a core+$$\varvec{pn}$$ three-body model including core excitations

Spin-triplet proton-neutron pair in spin-dipole excitations

Spin-triplet proton-neutron pair in spin-dipole excitations

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