Estimation of a 2p2h effect on Gamow-Teller transitions within the second Tamm-Dancoff approximation

Minato, Futoshi

doi:10.1103/physrevc.93.044319

Cited by 10 publications

(14 citation statements)

References 72 publications

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“…Last, we comment on the tensor-force contribution, which was reported [7] to change the excitation energy of the spinflip resonance states and the corresponding B(GT) values. However, we have confirmed numerically that the inclusion of the tensor force does not change the diffraction pattern of the cross section.…”

Section: Spin-flip Transitionsmentioning

confidence: 97%

“…The model space of the STDA and TDA calculations consists of single-particle orbits up to 100 MeV for the 1p1h configuration and 1d 5/2 , 1d 3/2 , 2s 1/2 , 1f 7/2 , 2p 3/2 , 2p 1/2 , and 1f 5/2 orbits for the 2p2h configuration as performed in Ref. [7]. The neutron and proton orbits are assumed to be fully occupied up to 1f 7/2 and 2s 1/2 , respectively.…”

Section: A Model Settingmentioning

confidence: 99%

“…Recently the effect of 2p2h mixing on the GT-transition strength B(GT) employing the fully self-consistent second Tamm-Dancoff approximation (STDA) was investigated [7]. The calculated B(GT) distribution of 48 Ca was compared with its experimentally measured value [8], which was derived through an analysis of the charge-exchange reaction 48 Ca(p, n) 48 Sc by means of the distorted-wave impulse approximation (DWIA).…”

Section: Introductionmentioning

confidence: 99%

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Theoretical investigation of two-particle two-hole effects on spin-isospin excitations through charge-exchange reactions

Fukui

Minato

2017

Phys. Rev. C

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Background: Coherent one-particle one-hole (1p1h) excitations have given us effective insights into general nuclear excitations. However, the two-particle two-hole (2p2h) excitation beyond 1p1h is now recognized as critical for the proper description of experimental data of various nuclear responses. Purpose: The spin-flip charge-exchange reactions 48 Ca(p, n) 48 Sc are investigated to clarify the role of the 2p2h effect on their cross sections. The Fermi transition of 48 Ca via the (p, n) reaction is also investigated in order to demonstrate our framework. Methods: The transition density is calculated microscopically with the second Tamm-Dancoff approximation, and the distorted-wave Born approximation is employed to describe the reaction process. A phenomenological one-range Gaussian interaction is used to prepare the form factor. Results: For the Fermi transition, our approach describes the experimental behavior of the cross section better than the Lane model, which is the conventional method. For spin-flip excitations including the GT transition, the 2p2h effect decreases the magnitude of the cross section and does not change the shape of the angular distribution. The ∆l = 2 transition of the present reaction is found to play a negligible role. Conclusions: The 2p2h effect will not change the angular-distributed cross section of spin-flip responses. This is because the transition density of the Gamow-Teller response, the leading contribution to the cross section, is not significantly varied by the 2p2h effect.

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Section: Spin-flip Transitionsmentioning

confidence: 97%

Section: A Model Settingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Theoretical investigation of two-particle two-hole effects on spin-isospin excitations through charge-exchange reactions

Fukui

Minato

2017

Phys. Rev. C

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“…However, the following point is worth noting: if the IVSM operator is used, the missing transition strength in E exc > 7.5 MeV in 48 Ti→ 48 Sc would not be reproduced in the present shell model calculations with the sdpf valence shell. The two-major-shell jump is necessary for activating the high-energy components of the IVSM operator [48,60]; thus, the sdpf valence shell is not sufficient. An analogous discussion is applied to the tail region of the strength function of 48 Ca→ 48 Sc.…”

Section: Methods With the Help Of Experimental Strength Functionmentioning

confidence: 99%

Estimation of nuclear matrix elements of double-$$\varvec{\beta }$$ decay from shell model and quasiparticle random-phase approximation

Terasaki

Iwata

2021

Eur. Phys. J. Plus

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The nuclear matrix element (NME) of neutrinoless double-$$\beta $$ β ($$0\nu \beta \beta $$ 0 ν β β ) decay is an essential input for determining the neutrino effective mass, if the half-life of this decay is measured. Reliable calculation of this NME has been a long-standing problem because of the diversity of the predicted values of the NME, which depends on the calculation method. In this study, we focus on the shell model and the QRPA. The shell model has a rich amount of the many-particle many-hole correlations, and the quasiparticle random-phase approximation (QRPA) can obtain the convergence of the calculation results with respect to the extension of the single-particle space. It is difficult for the shell model to obtain the convergence of the $$0\nu \beta \beta $$ 0 ν β β NME with respect to the valence single-particle space. The many-body correlations of the QRPA may be insufficient, depending on the nuclei. We propose a new method to phenomenologically modify the results of the shell model and the QRPA compensating for the insufficiencies of each method using the information of other methods in a complementary manner. Extrapolations of the components of the $$0\nu \beta \beta $$ 0 ν β β NME of the shell model are made toward a very large valence single-particle space. We introduce a modification factor to the components of the $$0\nu \beta \beta $$ 0 ν β β NME of the QRPA. Our modification method yields similar values of the $$0\nu \beta \beta $$ 0 ν β β NME for the two methods with respect to $$^{48}$$ 48 Ca. The NME of the two-neutrino double-$$\beta $$ β decay is also modified in a similar but simpler manner, and the consistency of the two methods is improved.

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“…The Gaussian function is applied to the calculation with its square root of the variance: the missing transition strength in E exc > 7.5 MeV in 48 Ti→ 48 Sc would not be reproduced in the present shell-model calculations with the sdpf valence shell. The two-major-shell jump is necessary for activating the high-energy components of the IVSM operator [48,60], thus, the sdpf valence shell is not sufficient. The analogous discussion is applied to the tail region of the strength function of 48 Ca→ 48 Sc.…”

Section: Modification Of Gt Component Of 0νββ Nme Of Shell Model a Me...mentioning

confidence: 99%

Estimation of nuclear matrix elements of double-$β$ decay from shell model and quasiparticle random-phase approximation

Terasaki,

Iwata

2021

Preprint

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The nuclear matrix element (NME) of the neutrinoless double-β (0νββ) decay is an essential input for determining the neutrino effective mass, if the half-life of this decay is measured. The reliable calculation of this NME has been a long-standing problem because of the diversity of the predicted values of the NME depending on the calculation method. In this paper, we focus on the shell model and the QRPA. The shell model have a rich amount of the many-particle many-hole correlations, and the QRPA can obtain the convergence of the result of calculation with respect to the extension of the single-particle space. It is difficult for the shell model to obtain the convergence of the 0νββ NME with respect to the valence single-particle space. The many-body correlations of the QRPA are insufficient depending on nuclei. We propose a new method to modify phenomenologically the results of the shell model and the QRPA compensating the insufficient point of each method by using the information of other method complementarily. Extrapolations of the components of the 0νββ NME of the shell model are made toward a very large valence single-particle space. We introduce a modification factor to the components of the 0νββ NME of the QRPA. Our modification method gives similar values of the 0νββ NME of the two methods for 48 Ca. The discrepancy of the shell model and the QRPA for the NME of the two-neutrino double-β decay is much smaller than that for the 0νββ NME without major modifications.

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Estimation of a 2p2h effect on Gamow-Teller transitions within the second Tamm-Dancoff approximation

Cited by 10 publications

References 72 publications

Theoretical investigation of two-particle two-hole effects on spin-isospin excitations through charge-exchange reactions

Theoretical investigation of two-particle two-hole effects on spin-isospin excitations through charge-exchange reactions

Estimation of nuclear matrix elements of double-$$\varvec{\beta }$$ decay from shell model and quasiparticle random-phase approximation

Estimation of nuclear matrix elements of double-$β$ decay from shell model and quasiparticle random-phase approximation

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