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In this work, the role of the central, spin-force and tensor forces of two-nucleon interaction in building the first 2$^+$ and 4$^+$ states of 20 sd-shell nuclei is studied. Calculations are performed within the framework of the nuclear…

Nuclear Theory · Physics 2024-07-16 Pawan Kumar , Kanhaiya Jha

We perform a quantitative study of the microscopic effective shell-model interactions in the valence sd shell, obtained from modern nucleon-nucleon potentials, chiral N3LO, JISP16 and Daejeon16, using No-Core Shell-Model wave functions and…

The variational principle is used to build a model which describes open shell nuclei with ground state deformations. Hartree-Fock equations are solved by using single particle wave functions whose radial parts depend on the projection of…

Nuclear Theory · Physics 2021-07-22 G. Co , M. Anguiano , A. M. Lallena

The renormalization of the chiral nuclear interactions is studied. In leading order, the cutoff dependence is related to the singular tensor interaction of the one-pion exchange potential. In S waves and in higher partial waves where the…

Nuclear Theory · Physics 2008-11-26 A. Nogga , R. G. E. Timmermans , U. van Kolck

Background: The half-life of the famous $^{14}$C $\beta$ decay is anomalously long, with different mechanisms: the tensor force, cross-shell mixing, and three-body forces, proposed to explain the cancellations that lead to a small…

Nuclear Theory · Physics 2021-09-15 B. Dai , B. S. Hu , Y. Z. Ma , J. G. Li , S. M. Wang , C. W. Johnson , F. R. Xu

A relation between nuclear forces derived using a phenomenological approach and nuclear effective field theory (NEFT) is proposed from a renormalization group point of view. A phenomenological nuclear force (V_ph) and an NEFT-based…

Nuclear Theory · Physics 2009-11-10 Satoshi X. Nakamura

Background: The tensor interaction is known to play an important role in the nuclear structure studies of exotic nuclei. However, most microscopic studies of low-energy nuclear reactions neglect the tensor force, resulting in a lack of…

Nuclear Theory · Physics 2018-12-19 Lu Guo , K. Godbey , A. S. Umar

The no-core shell model and the effective interaction $V_{{\rm low} k}$ can both be derived using the Lee-Suzuki projection operator formalism. The main difference between the two is the choice of basis states that define the model space.…

Nuclear Theory · Physics 2009-11-11 B. K. Jennings

We examine several ``landmarks'' for the effects of the tensor interaction on the properties of light nuclei. These were usually discussed in the context of small-space shell-model calculations. We show, using $G$ matrices derived from a…

Nuclear Theory · Physics 2009-09-25 L. Zamick , D. C. Zheng , M. Fayache

We probe nuclear multipole resonances in the framework of the random-phase approximation by using the interaction obtained from the chiral effective field theory. The three-nucleon force is included in a form of the in-medium two-nucleon…

Nuclear Theory · Physics 2020-05-20 B. S. Hu , Q. Wu , Q. Yuan , Y. Z. Ma , X. Q. Yan , F. R. Xu

A systematic study of the effect of tensor force on the evolution of shell structure in even-even super-heavy nuclei in the region of proton numbers Z=114, 120 and 126 and in the region of neutron numbers 178 $\le$ N $\le$ 188 is presented.…

Nuclear Theory · Physics 2022-02-11 M. El Adri , M. Oulne

Realistic nucleon-nucleon (NN) interactions, derived within the framework of meson theory or more recently in terms of chiral effective field theory, yield new possibilities for achieving a unified microscopic description of atomic nuclei.…

Nuclear Theory · Physics 2007-05-23 K. D. Sviratcheva , J. P. Draayer , J. P. Vary

Neutrino tensor interactions have gained prominence in the study of coherent elastic neutrino-nucleus scattering (CE$\nu$NS) recently. We perform a systematical examination of the nuclear effect, which plays a crucial role in evaluating the…

High Energy Physics - Phenomenology · Physics 2025-09-01 Jiajun Liao , Jian Tang , Bing-Long Zhang

Pseudospin symmetry is approximately conserved in nuclei. Normally shell model interactions are written in terms of spin an orbital angular momentum operators, not in terms of pseudospin and pseudo-orbital angular momentum operators. We…

Nuclear Theory · Physics 2010-07-01 Joseph N. Ginocchio

Regularization and renormalization is discussed in the context of low-energy effective field theory treatments of two or more heavy particles (such as nucleons). It is desirable to regulate the contact interactions from the outset by…

Nuclear Theory · Physics 2008-11-26 Thomas D. Cohen

$\mathbf{Background:}$ Realistic nucleon-nucleon interactions induce short-range correlations in nuclei. To solve the many-body problem unitary transformations like the similarity renormalization group (SRG) are often used to soften the…

Nuclear Theory · Physics 2015-08-19 Thomas Neff , Hans Feldmeier , Wataru Horiuchi

We studied the role of the tensor interaction in He isotopes systematically on the basis of the tensor-optimized shell model (TOSM). We use a bare nucleon-nucleon interaction AV8 obtained from nucleon-nucleon scattering data. The…

Nuclear Theory · Physics 2015-05-30 Takayuki Myo , Atsushi Umeya , Hiroshi Toki , Kiyomi Ikeda

The ab initio no-core shell model (NCSM) is extended to include a realistic three-body interaction in calculations for p-shell nuclei. The NCSM formalism is reviewed and new features needed in calculations with three-body forces are…

Nuclear Theory · Physics 2009-11-10 P. Navratil , W. E. Ormand

Phenomenological effective interactions like Skyrme forces are currently used in mean--field calculations in nuclear physics. Mean--field models have strong analogies with the first order of the perturbative many--body problem and the…

Nuclear Theory · Physics 2017-06-01 C. J. Yang , M. Grasso , K. Moghrabi , U. van Kolck

As the residual interaction of quantum chromodynamics in low-energy region, the nucleon-nucleon (NN) potential can only be exactly described by the model picture now. In the Bonn potential, one of the most well-known NN interaction models,…

Nuclear Theory · Physics 2022-11-23 Jinniu Hu , Chencan Wang