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Noam Gavrielov

Publications and source records attributed to Noam Gavrielov.

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Configuration crossing, shape evolution, and odd-proton polarization in yttrium isotopes

The odd-mass $^\text{91-101}$Y isotopes provide a testing ground for how an unpaired proton modifies an abrupt collective structural evolution. A configuration-mixing Bose-Fermi description shows that the lowest negative- and positive-parity states undergo a crossing of normal and intruder configurations near neutron number $N = 60$, intertwined with an evolution from weak coupling of a quasiparticle to a near-spherical core toward strong coupling to a deformed core. To isolate the role of the odd proton, a differential charge-radius polarization observable is introduced as the difference between the isotope shifts of the odd-mass chain with those of the corresponding even-even cores. Its pronounced peak at $N = 58$ and sign reversal at $N = 60$ reveal a localized modification of the core evolution in the critical region. Energy levels, wave-function content, electromagnetic moments, two-neutron separation energies, and coherent-state energy surfaces support this interpretation.

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Intertwined quantum phase transitions in the even-even $^{90-100}$Sr isotopes

The even-even $^{90-100}$Sr isotopes are identified as a region of intertwined quantum phase transitions (IQPTs). In this scenario, a quantum phase transition involving the crossing of normal and intruder configurations is accompanied by a shape evolution within the intruder configuration. Using the interacting boson model with configuration mixing (IBM-CM), we show that the strontium chain exhibits coexisting Type I and Type II QPTs, where the intruder configuration evolves from a near-spherical structure in $^{90-96}$Sr to a deformed one in $^{98,100}$Sr, while the normal and intruder configurations cross between $^{96}$Sr and $^{98}$Sr. As a result, the ground state changes abruptly from a weakly collective normal configuration to a deformed intruder configuration. Evidence for this scenario is provided by a detailed comparison with experimental excitation energies, spectroscopic quadrupole moments, isotope shifts, and monopole $E0$ transition strengths, together with the configuration and $n_d$ decompositions of the calculated wave functions. The results place the strontium isotopes alongside the neighboring zirconium chain as another realization of IQPTs in the intricate $A\approx100$ region.

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Competing shape evolution, crossing configurations and single particle levels in nuclei

The evolution of shape in the even-even zirconium (Zr) isotopes has been the subject of study for many years. However, the odd-mass isotopes have not been investigated as extensively due to limited experimental accessibility and computational challenges. This work, employing the interacting boson-fermion model with configuration mixing, examines the effect of rapid shape evolution and normal-intruder configuration crossing -- both identified as quantum phase transitions -- alongside evolution in single particle energies, on the positive-parity spectrum of odd-mass $^\text{93-103}$Zr isotopes. Calculated energy levels, magnetic moments, $B(E2)$ values, and quadrupole moments are compared to experimental data, showing good agreement. The special case of $^{99}$Zr, which lies near the critical point of both quantum phase transitions, is also addressed, offering a new interpretation to the $7/2^+_1$ isomeric state and the occurrence of the type II shell evolution, in light of recent debates.

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Mixed configurations and intertwined quantum phase transitions in odd-mass nuclei

We introduce a new Bose-Fermi framework for studying spectral properties and quantum phase transitions (QPTs) in odd-mass nuclei, in the presence of configuration mixing. A detailed analysis of odd-mass Nb isotopes discloses the effects of an abrupt crossing of states in normal and intruder configurations (Type II QPT), accompanied by a gradual evolution from spherical- to deformed-core shapes within the intruder configuration (Type I QPT). The pronounced presence of both types of QPTs demonstrates, for the first time, the occurrence of intertwined QPTs in odd-mass nuclei.

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