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Nuclear deformation effects on the binding energies in heavy ions are investigated. Approximate formulas for the nuclear-size correction and the isotope shift for deformed nuclei are derived. Combined with direct numerical evaluations,…

We analyze the wave equation in mixed form, with periodic and/or Dirichlet homogeneous boundary conditions, and nonconstant coefficients that depend on the spatial variable. For the discretization, the weak form of the second equation is…

Numerical Analysis · Mathematics 2023-12-01 Andrea Bressan , Annalisa Buffa , Alen Kushova , Rafael Vázquez

We formulate a Lippmann-Schwinger-type resonating-group equation to calculate invariant amplitudes of the quark-model baryon-baryon interaction. When applied to our recent SU6 quark model for the nucleon-nucleon and hyperon-nucleon…

Nuclear Theory · Physics 2009-10-31 Yoshikazu Fujiwara , Michio Kohno , Tadashi Fujita , Choki Nakamoto , Yasuyuki Suzuki

We show that the Liquid Drop Model is best suited to describe the masses of prolate deformed nuclei than of spherical nuclei. To this end three Liquid Drop Mass formulas are employed to describe nuclear masses of eight sets of nuclei with…

Nuclear Theory · Physics 2015-05-30 Jorge G. Hirsch , Cesar Barbero , Alejandro E. Mariano

In this work, the 24Mg nucleus is considered in the cluster model by solving the Schrodinger and Klein- Gordon equations from the Nikiforov- Uvarov (NU) method. A local potential is used for these two equations that is compatible with the…

Nuclear Theory · Physics 2019-10-17 Sahar Aslanzadeh , Mohammad Reza Shojaei , Ali Asghar Mowlavi

We examine how the binding of light ($A\leq 8$) nuclei depends on possible variations of hadronic masses, including meson, nucleon, and nucleon-resonance masses. Small variations in hadronic masses may have occurred over time; the present…

Nuclear Theory · Physics 2008-11-26 V. V. Flambaum , R. B. Wiringa

Self-consistent calculations within the relativistic mean field theory (RMFT) were performed for 150 spherical even-even nuclei. The macroscopic part of the binding energy was evaluated by subtracting the Strutinsky shell corrections from…

Nuclear Theory · Physics 2009-11-07 Bozena Nerlo-Pomorska , Katarzyna Mazurek

The one-dimensional harmonic oscillator in a box problem is used to introduce the concept of a mixed-mode shell-model scheme. The method combines low-lying ``pure mode'' states of a system to achieve a better description in situations where…

Nuclear Theory · Physics 2007-05-23 V. G. Gueorguiev , J. P. Draayer

We present a method to obtain numerically accurate values of configurational free energies of semiflexible macromolecular systems, based on the technique of thermodynamic integration combined with normal-mode analysis of a reference system…

Biomolecules · Quantitative Biology 2018-10-17 Stefan M. Giovan , Robert G. Scharein , Andreas Hanke , Stephen D. Levene

Spontaneous fission half-lives of actinide and super-heavy nuclei are calculated, using the least-action integral, through the WKB tunneling probability of the barrier that appears in the deformation landscape obtained in the…

Nuclear Theory · Physics 2023-10-18 J. Marin Blanco , A. Dobrowolski , A. Zdeb , J. Bartel

The mass and total kinetic energy distributions of the fission fragments in the fission of even-even isotopes of superheavy elements from Hs (Z=108) to Og (Z=118) are estimated using a pre-scission point model. We restrict to nuclei for…

Nuclear Theory · Physics 2019-06-19 N. Carjan , F. A. Ivanyuk , Yu. Ts. Oganessian

The hypertriton bound state is relevant for inference of knowledge about the hyperon-nucleon (YN) interaction. In this work we compute the binding energy of the hypertriton using the ab initio hypernuclear no-core shell model (NCSM) with…

Nuclear Theory · Physics 2021-09-21 Thiri Yadanar Htun , Daniel Gazda , Christian Forssén , Yupeng Yan

We present a relativistic correction scheme to improve the accuracy of 1s core-level binding energies calculated from Green's function theory in the $GW$ approximation, which does not add computational overhead. An element-specific…

Chemical Physics · Physics 2020-09-23 Levi Keller , Volker Blum , Patrick Rinke , Dorothea Golze

We calculate the supersymmetric QCD corrections in order $\alpha_s$ to the the widths of the Higgs boson decays $H^+ \to \st \bar\sb$ and $H^0, A^0 \to \st \bar\st, \sb \bar\sb$ in the on--shell scheme within the Minimal Supersymmetric…

High Energy Physics - Phenomenology · Physics 2011-01-27 A. Bartl , H. Eberl , K. Hidaka , T. Kon , W. Majerotto , Y. Yamada

Binding energy differences of mirror nuclei for A=15, 17, 27, 29, 31, 33, 39 and 41 are calculated in the framework of relativistic deformed mean-field theory. The spatial components of the vector meson fields and the photon are fully taken…

Nuclear Theory · Physics 2009-10-30 W. Koepf , G. Krein , L. A. Barreiro

In this communication, we present an efficient method for computation of energy and wave function of weakly bound nuclei by the application of supersymmetric quantum mechanics (SSQM) and bound states in continuum (BIC) technique. As a case…

Nuclear Theory · Physics 2022-04-05 M. Hasan , Md. A. Khan

The approximate analytical bound state solution of the Schr\"odinger equation for the Manning-Rosen potential is carried out by taking a new approximation scheme to the orbital centrifugal term. The Nikiforov-Uvarov method is used in the…

Quantum Physics · Physics 2012-03-14 Sameer M. Ikhdair

We present a class of four-dimensional models, with a non-supersymmetric spectrum, in which the radiative corrections to the Higgs mass are not sensitive, at least at one-loop, to the UV completion of the theory. At one loop, Yukawa…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Falkowski , C. Grojean , S. Pokorski

Dynamically exact calculations of a quasi-bound state in the $\bar{K}\bar{K}N$ three-body system are performed using Faddeev-type AGS equations. As input two phenomenological and one chirally motivated $\bar{K}N$ potentials are used, which…

Nuclear Theory · Physics 2015-10-21 N. V. Shevchenko , J. Haidenbauer

Using the Dirac equation, we study corrections to electron binding energies and hyperfine splittings of atomic hydrogen and hydrogen-like ions due to finite nuclear size (FNS) effects, relativistic QED radiative corrections and nuclear…

Atomic Physics · Physics 2023-06-06 Igor Kuzmenko , Tetyana Kuzmenko , Y. Avishai , Y. B. Band