Phenomenological description of the Coulomb energies of medium-heavy and superheavy nuclei

Lutostansky, Yu. S.; Tikhonov, V. N.

doi:10.3103/s1062873815040231

Cited by 12 publications

(9 citation statements)

References 17 publications

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“…The energies of analog resonances (AR) were calculated within TFFS and also from the simple formulas for the difference ∆E C between the Coulomb energies of neighboring isobar nuclei ference between the neutron mass and the mass of hydrogen atom. For all nuclei with 5≤A≤ 244 we have obtained a C =1416 keV and b C =−698 keV [9] with the standard deviation δE<100 keV. Deformation was taken into account as in [9], by introducing the correction to…”

Section: Methods Of Calculationmentioning

confidence: 99%

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Charge-exchange isobaric resonances

Lutostansky

2018

EPJ Web Conf.

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Three types of the charge-exchange isobaric resonances - giant Gamow-Teller (GTR), the analog (AR) and pygmy (PR) ones are investigated using the microscopic theory of finite Fermi systems and its approximated version. The calculated energies of GTR, AR and three PR’s are in good agreement with the experimental data. Calculated differences ΔEG-A=EGTR-EAR go to zero in heavier nuclei indicating the restoration of Wigner SU(4)-symmetry. The average deviation for ΔEG-A is 0.30 MeV for the 33 considered nuclei where experimental data are available. The comparison of calculations with experimental data on the energies of charge-exchange pygmy resonances gives the standard deviation δE<0:40 MeV. Strength functions for the 118Sn, 71Ga, 98Mo and 127I isotopes are calculated and the calculated resonance energies and amplitudes of the resonance peaks are close to the experimental values. Strong influence of the charge-exchange resonances on neutrino capturing cross sections is demonstrated.

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Section: Methods Of Calculationmentioning

confidence: 99%

“…For all nuclei with 5≤A≤ 244 we have obtained a C =1416 keV and b C =−698 keV [9] with the standard deviation δE<100 keV. Deformation was taken into account as in [9], by introducing the correction to…”

Section: Methods Of Calculationmentioning

confidence: 99%

Charge-exchange isobaric resonances

Lutostansky

2018

EPJ Web Conf.

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“…According to Eq. (2), these calculations are approximate because the deformation of nuclei was taken into account phenomenologically, as in [22]. Meanwhile, the consistent inclusion of deformation should affect the single-particle spectrum.…”

Section: Energies Of Gamow-teller and Analog Resonances In Heavy And mentioning

confidence: 99%

“…[10] only the nuclei with A < 60 were considered and an unambiguous conclusion was not made. We analyzed the ΔE C values for more than 400 nuclei in the mass number interval A= 3-244 for which experimental data are known (see [22]). As in [10,22], we used the two-parameter formula…”

Section: Analog Resonances and Coulomb Displacement Energies In Su(4)mentioning

confidence: 99%

“…Deformation was taken into account phenomenologically as in [22], by introducing the correction to ΔE de f C = ΔE sph C −δE de f C with the deformation parameters β 2 and β 4 from [23]. In the SU(4)-scheme, four types of ground states of nuclei belong to different supermultiplets: (i) (Z-even, N-even) nuclei belong to the (T Z , 0, 0) supermultiplet; (ii) (Z-even, N-odd) nuclei belong to the (T Z , 1/2, 1/2) supermultiplet; (iii) (Zodd, N-even) nuclei belong to the (T Z , 1/2, -1/2) supermultiplet; and (iv) (Z-odd, N-odd) nuclei belong to the (T Z , 1, 0) supermultiplet where the isospin T Z = (N − Z)/2.…”

Section: Analog Resonances and Coulomb Displacement Energies In Su(4)mentioning

confidence: 99%

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Charge-exchange resonances and restoration of the Wigner SU(4)-symmetry in heavy and superheavy nuclei

Lutostansky

Tikhonov

2016

EPJ Web of Conferences

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Abstract. Energies of the giant Gamow-Teller and analog resonances -E G and E A , respectively, -are calculated within the microscopic theory of finite Fermi system. The calculated energy difference ΔE G−A = E G − E A tends to zero with A in heavy nuclei indicating the restoration of Wigner SU(4)-symmetry. The calculated ΔE G−A values are in good agreement with the experimental data. The average deviation is 0.30 MeV for the 33 considered nuclei where experimental data are available. The ΔE G−A values are investigated for very heavy and superheavy nuclei up to the mass number A = 290. Using the experimental data for the analog resonance energies, the isotopic dependence of the Coulomb energy differences for neighboring isobars are analyzed within the SU(4)-approach for more than 400 nuclei in the mass number range of A = 3 − 244. The Wigner SU(4)-symmetry restoration for heavy and superheavy nuclei is confirmed. It is shown that the restoration of SU(4)-symmetry does not contradict the possibility of the existence of the "island of stability" in the region of superheavy nuclei.

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Restoration of Wigner supersymmetry in heavy and superheavy nuclei

Lutostansky

Tikhonov

2015

Jetp Lett.

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Phenomenological description of the Coulomb energies of medium-heavy and superheavy nuclei

Cited by 12 publications

References 17 publications

Charge-exchange isobaric resonances

Charge-exchange isobaric resonances

Charge-exchange resonances and restoration of the Wigner SU(4)-symmetry in heavy and superheavy nuclei

Restoration of Wigner supersymmetry in heavy and superheavy nuclei

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