“…The energy E DOP 2p 1/2 calculated at β I = 12.5 MeV agrees with the value E expt 2p 1/2 from [34]. In turn, the energies E expt 2p 1/2 [34] and E expt 1g 9/2 [19] are close to −S p (N, Z) and −S p (N, Z + 1), respectively. This indicates that, in the 90 Zr nucleus, the 2p 1/2 proton subshell is predominantly occupied, while the 1g 9/2 subshell is nearly unoccupied.…”
Section: Single-particle Energies In Zirconium Isotopessupporting
confidence: 79%
“…In the analysis, we included experimental data on E expt nlj in the vicinity of the energy E F that were obtained by simultaneously evaluating data on the nucleon-stripping and nucleon-pickup reactions on the same nucleus. Such data were obtained for neutron and/or proton states in stable isotopes of Ca, Ti, Cr, Fe, Ni, Zn, Ge, Se, Sr, Zr, Сd, and Sn, and are given in [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22].…”
Section: Parametrization Of the Potentialmentioning
confidence: 99%
“…4b along with experimental data. In the isotope 90 Zr, a substantial difference (of about 1.4 MeV) between the proton energies E expt 2p 12 obtained in [19] and in [34] attracts attention. The energy E DOP 2p 1/2 calculated at β I = 12.5 MeV agrees with the value E expt 2p 1/2 from [34].…”
Section: Single-particle Energies In Zirconium Isotopesmentioning
A method for constructing dispersive optical potentials is proposed for calculating singleparticle energies in isotopic chains of spherical and nearly spherical nuclei up to nucleon drip lines. The potential of this method is demonstrated by calculating the neutron and proton single-particle energies in calcium, nickel, and zirconium isotopes. The results agree well with experimental data available for stable isotopes. Predictive calculations of single-particle spectra are performed for isotopes lying far from the beta-stability valley. A comparison of the results with the energies of nucleon separation from nuclei of mass number A and A + 1 revealed features of the single-particle spectrum that are characteristic of nuclei containing classical and nonclassical magic numbers of nucleons.
“…The energy E DOP 2p 1/2 calculated at β I = 12.5 MeV agrees with the value E expt 2p 1/2 from [34]. In turn, the energies E expt 2p 1/2 [34] and E expt 1g 9/2 [19] are close to −S p (N, Z) and −S p (N, Z + 1), respectively. This indicates that, in the 90 Zr nucleus, the 2p 1/2 proton subshell is predominantly occupied, while the 1g 9/2 subshell is nearly unoccupied.…”
Section: Single-particle Energies In Zirconium Isotopessupporting
confidence: 79%
“…In the analysis, we included experimental data on E expt nlj in the vicinity of the energy E F that were obtained by simultaneously evaluating data on the nucleon-stripping and nucleon-pickup reactions on the same nucleus. Such data were obtained for neutron and/or proton states in stable isotopes of Ca, Ti, Cr, Fe, Ni, Zn, Ge, Se, Sr, Zr, Сd, and Sn, and are given in [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22].…”
Section: Parametrization Of the Potentialmentioning
confidence: 99%
“…4b along with experimental data. In the isotope 90 Zr, a substantial difference (of about 1.4 MeV) between the proton energies E expt 2p 12 obtained in [19] and in [34] attracts attention. The energy E DOP 2p 1/2 calculated at β I = 12.5 MeV agrees with the value E expt 2p 1/2 from [34].…”
Section: Single-particle Energies In Zirconium Isotopesmentioning
A method for constructing dispersive optical potentials is proposed for calculating singleparticle energies in isotopic chains of spherical and nearly spherical nuclei up to nucleon drip lines. The potential of this method is demonstrated by calculating the neutron and proton single-particle energies in calcium, nickel, and zirconium isotopes. The results agree well with experimental data available for stable isotopes. Predictive calculations of single-particle spectra are performed for isotopes lying far from the beta-stability valley. A comparison of the results with the energies of nucleon separation from nuclei of mass number A and A + 1 revealed features of the single-particle spectrum that are characteristic of nuclei containing classical and nonclassical magic numbers of nucleons.
“…The orbitals relevant here are deeply bound and cannot be reliably described by current microscopic theories [37][38][39][40][41][42]. We therefore employ an approach [43] that uses (independent) elastic scattering data [44,45] to yield the requisite information.…”
Obtaining reliable data for nuclear reactions on unstable isotopes remains an extremely important task and a formidable challenge. Neutron capture cross sections-crucial ingredients for models of astrophysical processes, national security applications, and simulations of nuclear energy generation-are particularly elusive, as both projectile and target in the reaction are unstable. We demonstrate a new method for determining cross sections for neutron capture on unstable isotopes, using ^{87}Y(n,γ) as a prototype. To validate the method, a benchmark experiment is carried out to obtain the known ^{90}Zr(n,γ) cross section analogously. Our approach, which employs an indirect ("surrogate") measurement combined with theory, can be generalized to a larger class of nuclear reactions. It can be used both with traditional stable-beam experiments and in inverse kinematics at rare-isotope facilities.
“…The β 2 deformation considered for56,58,60,62,64,68 Ni is 0.041, 0.037, 0.027, 0.020, 0.005, and −0.057, while for90,92,94,96 Zr it is 0.018, 0.012, 0.172, and 0.217. The data are collected from[29,30].J . Phy s. G: Nucl.…”
The deformation related properties of the single-particle spectrum generated by a fractional rotational group with mixed derivative definitions are investigated for ascertaining its suitability as a viable microscopic model. A new parametrization is proposed based on fits on experimental single-particle levels. The performance of the resulted model is judged by calculating the microscopic contribution to the masses and the ground state deformation of even-even nuclei.
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