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A novel shape evolution in the Sn isotopes by the state-of-the-art application of the Monte Carlo Shell Model calculations is presented in a unified way for the 100-138Sn isotopes. A large model space consisting of eight single-particle…

Nuclear Theory · Physics 2018-08-15 Tomoaki Togashi , Yusuke Tsunoda , Takaharu Otsuka , Noritaka Shimizu , Michio Honma

Nuclear level density at low excitation energies is proposed as an indicator of the first order phase transitions in nuclei. The new signature, a maximum value of the level density at the critical point, appears to be sensitive to the…

Nuclear Theory · Physics 2018-08-03 D. Bucurescu , N. V. Zamfir

We study the interplay between the isoscalar (T=0) and isovector (T=1) pairing correlations in N=Z odd-odd nuclei from 14N to 58Cu by using three-body model calculations. The strong spin-triplet T=0 pairing correlation dominates in the…

Nuclear Theory · Physics 2016-06-21 Y. Tanimura , H. Sagawa , K. Hagino

We focus on the special situation of $D=2J$ of the general spin-S Blume-Capel model on the square lattice. Under the infinitesimal external magnetic field, the phase transition behaviors due to the thermal fluctuations are discussed by the…

Statistical Mechanics · Physics 2016-09-16 Li-Ping Yang , Zhi-Yuan Xie

A review is given of the relation between pairing, quasi-spin algebras and seniority. The former two concepts are closely connected, the relation being that the quasi-spin formalism allows an efficient solution of the pairing problem.…

Nuclear Theory · Physics 2015-05-20 P. Van Isacker

The ground and low-lying states of neutron-rich exotic Te and Sn isotopes are studied in terms of the nuclear shell model by the same Hamiltonian used for the spherical-deformed shape phase transition of Ba isotopes, without any adjustment.…

Nuclear Theory · Physics 2014-11-18 Noritaka Shimizu , Takaharu Otsuka , Takahiro Mizusaki , Michio Honma

Pairing correlations play an important role in a variety of nuclear phenomena. However, a quantitative understanding of proton--neutron $(pn)$ pairing, especially isoscalar $pn$ pairing $(S=1, T=0)$ remains elusive. To clarify the property…

Nuclear Theory · Physics 2024-05-31 K. Uzawa , N. Hinohara , T. Nakatsukasa

The most important features of the pseudo SU(3) model are reviewed. This description of heavy deformed nuclei is based on pseudo spin symmetry, and is able to correctly predict the collective spectra and their transition amplitudes, using…

Nuclear Theory · Physics 2007-05-23 Jorge G. Hirsch , Octavio Castaños , Peter O. Hess

[Background] The BE2 rates of the Sn isotopes for $N\le 64$ exhibit enhancements hitherto unexplained. The same is true for the Cd isotopes. [Purpose] Describe the electromagnetic properties of the Sn and Cd isotopes [Method] Shell model…

Nuclear Theory · Physics 2021-04-27 A. P. Zuker

Motivated by the existence of candidates for exotic hadrons whose masses are close to both of two-body and three-body hadronic thresholds lying close to each other, we study degenerate two-body and three-body coupled-channel systems. We…

High Energy Physics - Phenomenology · Physics 2018-06-27 Atsunari Konishi , Osamu Morimatsu , Shigehiro Yasui

Higher order tensor inversion is possible for even order. We have shown that a tensor group endowed with the Einstein (contracted) product is isomorphic to the general linear group of degree $n$. With the isomorphic group structures, we…

Numerical Analysis · Mathematics 2011-09-20 Michael Brazell , Na Li , Carmeliza Navasca , Christino Tamon

Pairing rotations and pairing vibrations are collective modes associated with a field, the pair field, which changes the number of particles by two. Consequently, they can be studied at profit with the help of two-particle transfer…

Nuclear Theory · Physics 2015-06-11 G. Potel , A. Idini , F. Barranco , E. Vigezzi , R. A. Broglia

Results of nuclear resonance fluorescence experiments on $^{117}$Sn are reported. More than 50 $\gamma$ transitions with $E_{\gamma} < 4$ MeV were detected indicating a strong fragmentation of the electromagnetic excitation strength. For…

The local atomic structure of SnSe was characterized across its orthorhmbic-to-orthorhombic structural phase transition using x-ray pair distribution function analysis. Substantial Sn off-centering distortions persist in the high symmetry…

We performed at ISOLDE the spectroscopy of the decay of the 8- isomer in 136Cs by and conversion-electron detection. For the first time the excitation energy of the isomer and the multipolarity of its decay have been measured. The half-life…

The FRS-ESR facility at GSI provides unique conditions for precision measurements of large areas on the nuclear mass surface in a single experiment. Values for masses of 604 neutron-deficient nuclides (30<=Z<=92) were obtained with a…

The current investigation aims to study the ground-state properties of one of the most interesting isotopic chains in the periodic table, 94-168Sn, from the proton drip line to the neutron drip line by using the covariant density functional…

Nuclear Theory · Physics 2019-04-24 Younes El Bassem , Mostafa Oulne

The puzzle of finding consistent nuclear configurations for explaining both the decay probabilities and moments of the ${9/2}^-$, ${8}^+$ and ${21/2}^-$ isomers in and around $N=126$ closed shell has been approached in the generalized…

Nuclear Theory · Physics 2022-03-02 Bhoomika Maheshwari , Deepika Choudhury , Ashok Kumar Jain

Three solvable models are set out in some detail in reviewing different types of phase transitions. Two of these relate directly to emergent critical phenomena, viz. melting and magnetic transitions in heavy rare-earth metals, and secondly,…

Statistical Mechanics · Physics 2014-11-10 N. H. March , G. G. N. Angilella , R. Pucci

The observation and prediction of unusually depressed first excited 2^+_1 states in even-A neutron - rich isotopes of semi-magic Sn above 132Sn provide motivations for reviewing the problems related to the nuclear astrophysics in general.…

Nuclear Theory · Physics 2015-05-14 S. Sarkar , M. Saha Sarkar