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The exact analytical solution of the Schr\"odinger equation for a generalized symmetrical Woods-Saxon potential are examined for a nucleon in Fluorine 17 nucleus for bound and quasi-bound states in one dimension. The wave functions imply…

Nuclear Theory · Physics 2016-12-02 B. C. Lütfüoğlu , M. Erdogan

The symmetric nuclear matter and pure neutron matter are investigated by the relativistic Brueckner-Hartree-Fock (RBHF) theory with the covariant chiral nuclear forces up to the next-to-leading order~(NLO). A fitting scheme to ensure the…

Nuclear Theory · Physics 2025-06-24 Wei-Jiang Zou , Yi-Long Yang , Jun-Xu Lu , Peng-Wei Zhao , Li-Sheng Geng , Jie Meng

In this paper, the approximate analitical solutions of the hyper-radial Schr\"{o}dinger equation are obtained for the generalized Wood-Saxon potential by implementing the Pekeris approximation to surmount the centrifugal term. The energy…

Nuclear Theory · Physics 2026-05-01 V. H. Badalov , B. Baris , K. Uzun

We show that it is possible to model two-body resonant interactions at low energy with a class of finite-range potentials based on the methods of Jost and Kohn. These potentials are expressed in terms of the effective range $r_0$ and the…

Quantum Physics · Physics 2016-09-12 Bimalendu Deb

The experimental binding energies of single-particle and single-hole neutron states belonging to neutron shells that extend from N = 126 to 184 and 82 to 126 respectively, have been reproduced by solving the Schr\"{o}dinger equation with a…

Nuclear Theory · Physics 2016-08-24 J. A. Liendo , E. Castro , R. Gómez , D. D. Caussyn

In order to settle the fundamental question whether the nuclear forces involve the long range components, the S-wave amplitude of the proton-proton scattering is analysed in search for the extra singularity at $\nu=0$, which corresponds to…

High Energy Physics - Phenomenology · Physics 2016-09-06 Tetsuo Sawada

The mean field properties and equation of state for asymmetric nuclear matter are studied by using a simple effective interaction which has a single finite range Gaussian term. The study of finite nuclei with this effective interaction is…

Nuclear Theory · Physics 2013-02-15 B. Behera , X. Vinas , M. Bhuyan , T. R. Routray , B. K. Sharma , S. K. Patra

Nucleon self-energies and interaction potentials in supernova (SN) matter, which are known to have an important effect on nucleosynthesis conditions in SN ejecta are investigated. Corresponding weak charged-current interaction rates with…

Nuclear Theory · Physics 2015-05-22 Matthias Hempel

The semi-microscopic potential between heavy nuclei is evaluated for various colliding ions in the approach of frozen densities in the framework of the extended Thomas-Fermi approximation with hbar^2 correction terms in the kinetic energy…

Nuclear Theory · Physics 2009-11-10 V. Yu. Denisov

A realistic evaluation of Coulomb potential has been made for some selected nuclei using the available model-independent data for the charge density and the recent development of Coulomb energy-density functional. Within the Woods-Saxon…

Nuclear Theory · Physics 2023-03-03 L. Xayavong , Y. Lim

Nonlocal coordinate space optical potentials for the scattering of 65 MeV protons from nuclei ranging in mass from 6Li to 238U have been defined by folding a complex, medium dependent effective interaction with the density matrix elements…

Nuclear Theory · Physics 2008-11-26 P. J. Dortmans , K. Amos , S. Karataglidis , J. Raynal

The positions of the $l=0$ $S$-matrix poles are calculated in generalized Woods-Saxon (GWS) potential and in cut-off generalized Woods-Saxon (CGWS) potential. The solutions of the radial equations are calculated numerically for the CGWS…

Nuclear Theory · Physics 2016-04-20 P. Salamon , Á. Baran , T. Vertse

By applying an appropriate Pekeris approximation to deal with the centrifugal term, we present an approximate systematic solution of the two-body spinless Salpeter (SS) equation with the Woods-Saxon interaction potential for arbitrary…

Nuclear Theory · Physics 2013-08-01 Majid Hamzavi , Sameer M. Ikhdair , Ali Akbar Rajabi

Localized single-particle potentials for all octet baryons, $N$, $\Lambda$, $\Sigma$, and $\Xi$, in finite nuclei, $^{12}$C, $^{16}$O, $^{28}$Si, $^{40}$Ca, $^{56}$Fe, and $^{90}$Zr, are calculated using the quark-model baryon-baryon…

Nuclear Theory · Physics 2009-08-03 M. Kohno , Y. Fujiwara

Nuclear effective field theory is applied to the effective range expansion of S-wave nucleon-nucleon scattering on a discrete lattice. Lattice regularization is demonstrated to yield the effective range expansion in the same way as in the…

Nuclear Theory · Physics 2011-05-12 Ryoichi Seki , U. van Kolck

Short range correlated (SRC) N N pairs are pairs of nucleons with high relative momentum (prel > kF where kF ~ 250 MeV/c is the Fermi momentum in medium to heavy nuclei) and lower center of mass momentum. The motivation for studying SRC…

Nuclear Experiment · Physics 2026-01-15 Nadia Fomin , Or Hen , Julian Kahlbow , Dien Nguyen , Jackson Pybus , Noemi Rocco , Misak Sargsian , Sandra Nathaly Santiesteban , Ronen Weiss , Douglas W. Higinbotham , Lawrence Weinstein , Devi Adhikari , Hisham Albataineh , Massimiliano Alvioli , Lorenzo Andreoli , John Arrington , Carlos Ayerbe Gayoso , A. B. Balantekin , Carlos Bertulani , Hem Bhatt , Sudip Bhattarai , William J. Briscoe , Sayak Chatterjee , Hector Chinchay , E. O. Cohn , Wim Cosyn , Silviu Covrig Dusa , Natalya Dashyan , Bhesha Raj Devkota , Meytal Duer , Burcu Duran , Mostafa Elaasar , Cristiano Fanelli , Muhammad Farooq , Ishara P. Fernando , Caleb Fogler , Filippo Fornetti , Tobias Frederico , Daniel Galaviz , Dave Gaskell , Prakassh Gautam , Probir Ghoshal , Tyler J. Hague , Jens-Ole Hansen , Florian Hauenstein , Chueng-Ryong Ji , H. S. Jo , Muhammad Junaid , Dustin Keller , T. V. Kolar , Igor Korover , Andrea Lagni , Chhetra Lama , Shujie Li , Valery E. Lyubovitskij , Ralph Marinaro , Malek Mazouz , Michael McCaughan , Bryan McKinnon , Gerald Miller , Taya Mineeva , Arthur Mkrtchyan , Hamlet Mkrtchyan , Peter Monaghan , Casey Morean , Sooriyaarachchilage Aruni Nadeeshani , Gunawardhana Waduge Nuwan Chaminda , Emanuele Pace , Bishnu Pandey , Valerii Panin , Parshkin , Igor , Stefanos Paschalis , Saori Pastore , Maria Patsyuk , Churamani Paudel , Marina Petri , Eliazer Piasetzky , Jiwan Poudel , Hang Qi , Sagar Regmi , Matteo Rinaldi , Jose Luis Rodriguez-Sánchez , Dmitry Romanov , Giovanni Salmé , Axel Schmidt , Mitra H. Shabestari , Albert Shahinyan , Abhyuday Sharda , Alexander Somov , Igor Strakovsky , Holly Szumila-Vance , V. Tadevosyan , Buddhiman Tamang , Hakob Voskanyan , Ron Wagner , Uditha Weerasinghe , Natalie Wright , E. A. Wrightson , Manuel Xarepe , Zhihong Ye , Bo Yu

SU(3) symmetry relations on the recently constructed hyperon-nucleon potentials are used to develop potential models for all possible baryon-baryon interaction channels. The main focus is on the interaction channels with total strangeness…

Nuclear Theory · Physics 2009-10-31 V. G. J. Stoks , Th. A. Rijken

The proper understanding of the equation of state (EoS) of highly asymmetric nuclear matter is essential when studying systems such as neutron stars (NSs). Using zero-range Skyrme interactions and finite-range interactions such as Gogny…

Nuclear Theory · Physics 2020-03-03 Claudia Gonzalez-Boquera

Properties of nuclear matter are investigated in the framework of relativistic Brueckner-Hartree-Fock model with the latest high-precision charge-dependent Bonn (pvCD-Bonn) potentials, where the coupling between pion and nucleon is adopted…

Nuclear Theory · Physics 2020-10-28 Chencan Wang , Jinniu Hu , Ying Zhang , Hong Shen

Based on the standard Skyrme energy density functionals together with the extended Thomas-Fermi approach, the properties of symmetric and asymmetric nuclear matter represented in two macroscopic-microscopic mass formulas: Lublin-Strasbourg…

Nuclear Theory · Physics 2016-03-10 Ning Wang , Min Liu , Li Ou , Yingxun Zhang