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The existing calculations of the nuclear matrix elements of the neutrinoless double $\beta$-decay differ by about a factor three. This uncertainty prevents quantitative interpretation of the results of experiments searching for this…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. M. Bilenky , J. A. Grifols

Quantum tunneling across double potential barriers is studied. With the assumption that the real space is a continuum, it is rigorously proved that large barriers of arbitrary shapes can be penetrated by low-energy particles with a…

Mesoscale and Nanoscale Physics · Physics 2024-02-02 Yong Yang

The $\beta$-decay half-lives of neutron-rich nuclei with $20 \leqslant Z \leqslant 50$ are systematically investigated using the newly developed fully self-consistent proton-neutron quasiparticle random phase approximation (QRPA), based on…

Nuclear Theory · Physics 2013-05-27 Z. M. Niu , Y. F. Niu , H. Z. Liang , W. H. Long , T. Nikšić , D. Vretenar , J. Meng

The nuclear $\alpha$ decay of heavy nuclei is investigated based on the nuclear energy density functional, which leads to the $\alpha$ potential inside the parent nucleus in terms of the proton and neutron density profiles of the daughter…

Nuclear Theory · Physics 2017-03-22 Yeunhwan Lim , Yongseok Oh

This report deals with the basic concepts on deducing transit times for quantum scattering: the stationary phase method and its relation with delay times for relativistic and non-relativistic tunneling particles. We notice that the…

Quantum Physics · Physics 2017-11-08 Alex E. Bernardini

The half-lives of proton radioactivity of proton emitters are investigated theoretically by using KDE0v1 Skyrme interaction. The total barrier potential in the proton radioactive nuclei is calculated as the sum of the nuclear, Coulomb and…

Nuclear Theory · Physics 2020-07-07 K. Madhuri , D. N. Basu , T. R. Routray , S. P. Pattnaik

This article reviews how nuclear fission is described within nuclear density functional theory. In spontaneous fission, half-lives are the main observables and quantum tunnelling the essential concept, while in induced fission the focus is…

Nuclear Theory · Physics 2018-02-21 N. Schunck , L. M. Robledo

Radioactive decay of nuclei via emission of $\alpha$ particles has been studied theoretically in the framework of a superasymmetric fission model using the double folding (DF) procedure for obtaining the $\alpha$-nucleus interaction…

Nuclear Theory · Physics 2008-11-26 D. N. Basu

In recent years, artificial neural network (ANN) has been successfully applied in nuclear physics and some other areas of physics. This study begins with the calculations of {\alpha}-decay half-lives for some neutron-deficient nuclei using…

Nuclear Theory · Physics 2022-02-01 A. A. Saeed , W. A. Yahya , O. K. Azeez

Nuclear $\beta$ decay is a key process to understand the origin of heavy elements in the universe, while the accuracy is far from satisfactory for the predictions of $\beta$-decay half-lives by nuclear models up to date. In this letter, we…

Nuclear Theory · Physics 2019-06-12 Z. M. Niu , H. Z. Liang , B. H. Sun , W. H. Long , Y. F. Niu

Bulk and decay properties, including deformation energy curves, charge mean square radii, Gamow-Teller (GT) strength distributions, and beta-decay half-lives, are studied in neutron-deficient even-even and odd-A Hg and Pt isotopes. The…

Nuclear Theory · Physics 2015-03-11 J. M. Boillos , P. Sarriguren

The non-parametric bootstrap method is used to evaluate the uncertainties of two $\alpha$ decay formulas, the universal decay law (UDL) and the new Geiger-Nuttall law (NGNL). Such a method can simultaneously obtain the uncertainty of each…

Nuclear Theory · Physics 2020-05-20 Boshuai Cai , Guangshang Chen , Jiongyu Xu , Cenxi Yuan , Chong Qi , Yuan Yao

The kinetic isotope effect (KIE) is the conventional probe for quantum tunneling, yet its composite nature conflates tunneling with zero-point energy and classical kinetics. Here, we introduce the tunneling phase diagram, a machine-learning…

Quantum Physics · Physics 2026-05-29 Xinrui Yang , Zhigang Wang

The concepts of probability, statistics and stochastic theory are being successfully used in structural engineering. Markov Chain modelling is a simple stochastic process model that has found its application in both describing stochastic…

Applications · Statistics 2007-08-14 K. Balaji Rao

The tunneling effect is the most popular phenomenon of quantum physics and is present in modern physical theories. Still, the most important features of this effect are already present in toy models - low dimensional quantum mechanics with…

Quantum Physics · Physics 2013-02-07 Zbigniew Ambrozinski

We propose a novel method to measure the interaction between an ultracold gas of neutral atoms and a surface. This solution combines an optical dipole trap reflected by the surface, a magnetic trap formed by current carrying wires embedded…

Quantum Gases · Physics 2026-02-17 J-B. Gerent , R. Veyron , V. Mancois , R. Huang , E. Beraud , S. Bernon

We use path-integrals to derive a general expression for the semiclassical approximation to the partition function of a one-dimensional quantum-mechanical system. Our expression depends solely on ordinary integrals which involve the…

Quantum Physics · Physics 2007-05-23 C. A. A. de Carvalho , R. M. Cavalcanti

Quantum information is typically fragile under measurements and environmental coupling. Remarkably, we find that its lifetime can scale exponentially with system size when the environment is continuously monitored via mid-circuit…

Quantum Physics · Physics 2026-05-08 Bingzhi Zhang , Fangjun Hu , Runzhe Mo , Tianyang Chen , Hakan E. Türeci , Quntao Zhuang

Quasiclassical methods for non-adiabatic quantum dynamics can reveal new features of quantum effects, such as tunneling evolution, that are harder to reveal in standard treatments based on wave functions of stationary states. Here, these…

General Relativity and Quantum Cosmology · Physics 2022-05-06 Martin Bojowald , Pip Petersen

One method of determining the free neutron lifetime involves the absolute counting of neutrons and trapped decay protons. In such experiments, a cold neutron beam traverses a segmented proton trap inside a superconducting solenoid while the…