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We develop a new fully quantum method for determination of widths for nuclear decay by proton emission where multiple internal reflections of wave packet describing tunneling process inside proton--nucleus radial barrier are taken into…

Nuclear Theory · Physics 2010-02-01 Sergei P. Maydanyuk , Sergei V. Belchikov

We derive a simple formula for the width of a multi-channel resonance state. To this end, we use a deformed square-well potential and solve the coupled-channels equations. We obtain the $S$-matrix in the Breit-Wigner form, from which…

Nuclear Theory · Physics 2019-12-06 K. Hagino , H. Sagawa , S. Kanaya , A. Odahara

The bound and resonance states along with corresponding autoionization widths for nitrogen sulphide (NS) molecule are determined using electron NS$^+$ cation scattering calculations. The calculations are performed for $^2{\Sigma}^+$,…

Instrumentation and Methods for Astrophysics · Physics 2024-05-01 F. Iacob , T. Meltzer , J. Zs. Mezei , I. F. Schneider , J. Tennyson

Existing optimization methods are used to calculate the upper-bounds on radiation efficiency with and without the constraint on self-resonance. These bounds are used for the design and assessment of small electric-dipole-type antennas. We…

Classical Physics · Physics 2019-04-05 L. Jelinek , K. Schab , M. Capek

A continuum-RPA-based approach is applied to describe the decay properties of isolated dipole isobaric analog resonances in nuclei having not-too-large neutron excess. Calculated for a few resonances in 90Zr the elastic E1-radiative width…

Nuclear Theory · Physics 2007-05-23 M. L. Gorelik , I. V. Safonov , M. H. Urin

I present a new formalism of the R-matrix theory where the formal parameters for the resonance energies and widths are identical to the observed values. By allowing the boundary condition parameters to vary from level to level, the freedom…

Nuclear Theory · Physics 2021-12-15 Tae-Sun Park

The ratio of the alpha-decay widths of a bare nucleus and the related atom is calculated. Both the change of the form and thus the penetrability of the potential barrier and the effect of reflection in the classically-allowed region…

Nuclear Theory · Physics 2012-12-04 Sergey Yu. Igashov , Yury M. Tchuvil'sky

Two-proton ($2p$) radioactivity provides fundamental knowledge on the three-body decay mechanism and the residual nuclear interaction. In this work, we propose decay width formulae in the extended R-matrix framework for different decay…

Nuclear Theory · Physics 2023-02-22 Zhaozhan Zhang , Cenxi Yuan , Chong Qi , Boshuai Cai , Xinxing Xu

We describe the decay out of a superdeformed band using the methods of reaction theory. Assuming that decay-out occurs due to equal coupling (on average) to a sea of equivalent chaotic normally deformed (ND) states, we calculate the average…

Nuclear Theory · Physics 2009-11-10 M. S. Hussein , A. J. Sargeant , M. P. Pato , N. Takigawa , M. Ueda

A basic prediction of the statistical model of compound nucleus reactions is that the partial widths for decay into any open channel channel fluctuate according to the Porter-Thomas distribution (PTD). A recent experiment on $s$- and…

Nuclear Theory · Physics 2018-11-06 P. Fanto , G. F. Bertsch , Y. Alhassid

The $\Delta$ decay in the nuclear medium is calculated in the relativistic meson-nucleon model. The delta spreading width is calculated and compared with the Pauli-blocked $\pi$N decay width. The influence of relativistic mean fields is…

Nuclear Theory · Physics 2008-11-26 Hungchong Kim , S. Schramm , Su Houng Lee

Recent measurements of resonance widths for low-energy neutron scattering off heavy nuclei show large deviations from the standard Porter-Thomas distribution. We propose a new resonance width distribution based on the random matrix theory…

Nuclear Theory · Physics 2012-10-09 Gavriil Shchedrin , Vladimir Zelevinsky

A general method, which we call the potential $S$-matrix pole method, is developed for obtaining the $S$-matrix pole parameters for bound, virtual and resonant states based on numerical solutions of the Schr\"odinger equation. This method…

Nuclear Theory · Physics 2014-11-20 A. M. Mukhamedzhanov , B. F. Irgaziev , V. Z. Goldberg , Yu. V. Orlov , I. Qazi

Whether one starts form the analytic S-matrix definition or the requirement of gauge parameter independence in renormalization theory, a relativistic resonance is given by a pole at a complex value s of energy squared. The complex number s…

High Energy Physics - Phenomenology · Physics 2009-11-10 Arno R. Bohm , Yoshihiro Sato

In this letter we introduce a new method to determine the radiative neutrino decay rate in the presence of a medium. Our approach is based on the generalisation of the optical theorem at finite temperature and density. Differently from…

High Energy Physics - Phenomenology · Physics 2009-10-31 Dario Grasso , Victor Semikoz

It is shown, that the exponential decrease of the energy spectra of the fragments with growing its energy, which does not depend from the fragment type, targets, projectiles and projectile energies, and which sometimes accompanied slight…

Nuclear Theory · Physics 2019-02-13 S. A. Omelchenko , V. S. Olkhovsky

The photoionization spectrum of an atom in a magnetic field is calculated by combining R-matrix propagation with local adiabatic basis expansions. This approach considerably increases the speed and the energy range over which calculations…

Atomic Physics · Physics 2009-11-13 F. Mota-Furtado , P. F. O'Mahony

We investigate the properties of single-particle resonances in a non-spherical potential by solving the coupled-channels equations for the radial wave functions. We first generalize the box discretization method for positive energy states…

Nuclear Theory · Physics 2009-11-10 K. Hagino , Nguyen Van Giai

We propose a simple method to approximately evaluate reduced width amplitude (RWA) of a two-body spinless cluster channel using the norm overlap with the Brink-Bloch cluster wave function at the channel radius. The applicability of the…

Nuclear Theory · Physics 2014-07-09 Yoshiko Kanada-En'yo , Tadahiro Suhara , Yasutaka Taniguchi

The systematic study of the correlation between the experimental giant dipole resonance (GDR) width and the average deformation <\beta> of the nucleus at finite excitation is presented for the mass region A ~ 59 to 208. We show that the…

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