Fragmentation of the Gamow-Teller resonance in spherical nuclei

Our paper aims at providing an answer to the question whether one can reliably describe the properties of the most important spin-isospin nuclear excitations, by using the available nonrelativistic Skyrme energy functionals. Our method, which has been introduced in a previous publication devoted to the Isobaric Analog states, is the self-consistent Quasiparticle Random Phase Approximation (QRPA). The inclusion of pairing is instrumental for describing a number of experimentally measured spherical systems which are characterized by open shells. We discuss the effect of isoscalar and isovector pairing correlations. Based on the results for the Gamow-Teller resonance in 90 Zr, in 208 Pb and in few Sn isotopes, we draw definite conclusions on the performance of different Skyrme parametrizations, and we suggest improvements for future fits. We also use the spin-dipole resonance as a benchmark of our statements.

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“…To study the GTR in 208 Pb, the quasiparticle-phonon model has been employed in Ref. [21], and the so-called Pyatov method in Ref. [22].…”

Section: Introductionmentioning

confidence: 99%

Spin-isospin nuclear response using the existing microscopic Skyrme functionals

Fracasso

Colò

2007

Phys. Rev. C

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“…To take into account the phonon-phonon coupling (PPC) effects we follow the basic QPM ideas [15,20]. The Hamiltonian can be diagonalized in a space spanned by states composed of one and two QRPA phonons [25],…”

Section: β-Decay Characteristics Within the Frsa Modelmentioning

confidence: 99%

“…The main difficulty is that complexity of the calculations increases rapidly with the size of the configurational space and one has to work within limited spaces. The separable form of the residual interaction is the practical advantage of the quasiparticle phonon model (QPM) [20] which allows one to perform the calculations in large configurational spaces [15,20,21]. The finite rank separable approximation (FRSA) for the QRPA with Skyrme interactions [22,23] has been invented to describe charge-exchange excitation modes [24,25].…”

Section: Introductionmentioning

confidence: 99%

Multi-neutron emission of Cd isotopes

et al. 2017

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An influence of the phonon-phonon coupling (PPC) on the β-decay half-lives and multi-neutron emission probabilities is analysed within the microscopic model based on the Skyrme interaction with tensor components included. The finite-rank separable approximation is used in order to handle large two-quasiparticle spaces. The even-even nuclei near the r-process pathes at N = 82 are studied. The characteristics of ground states, 2 + excitations and β-decay strength of the neutron-rich Cd isotopes are treated in detail. It is shown that a strong redistribution of the Gamow-Teller strength due to the PPC is mostly sensitive to the multi-neutron emission probability of the Cd isotopes.

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“…To see this, we consider again the structure of the main peak in the case of 130 Cd. The largest contribution to the wave function comes from the two-quasiparticle configuration {π1h 9 2 ν1h 11 2 }, where proton subshell 1h 9 2 is out of the proton-pairing window. It is worth mentioning that the RPA calculations are made by the filling approximation [22].…”

Section: Application To 126−130 CDmentioning

confidence: 99%

“…It would be desirable to extend the description beyond the QRPA scheme in order to include damping effects observed experimentally [8][9][10]. Moreover, it is necessary to take into account the tensor correlations that results in shifting some strength up to the higher energy region [8,10,11].…”

Section: Introductionmentioning

confidence: 99%

Gamow-Teller resonances and a separable approximation for Skyrme tensor interactions

Severyukhin

Sagawa

2012

EPJ Web of Conferences

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Abstract.A finite rank separable approximation for the quasiparticle random phase approximation (QRPA) with Skyrme interactions is applied to study properties of the Gamow-Teller (GT) resonances in the neutronrich Cd isotopes. This approximation enables one to reduce considerably the dimension of matrix that must be diagonalized to perform QRPA calculations in a very large configuration space. Our results from the SGII Skyrme interaction with the tensor interactions and the density-dependent zero-range pairing interaction show that the GT distribution is noticeably modified when the tensor correlations are taken into account. In particular, for 130 Cd the dominant peak is moved 3.6 MeV downward and 10% of the GT distribution is shifted to the high excitation energy region near E=50MeV.

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Fragmentation of the Gamow-Teller resonance in spherical nuclei

Cited by 76 publications

References 33 publications

Spin-isospin nuclear response using the existing microscopic Skyrme functionals

Spin-isospin nuclear response using the existing microscopic Skyrme functionals

Multi-neutron emission of Cd isotopes

Gamow-Teller resonances and a separable approximation for Skyrme tensor interactions

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