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A theoretically consistent approach to the calculation of the Coulomb correlation corrections to the single--particle energies is presented. New contributions to the single--particle energies previously overlooked in the literature are now…

Nuclear Theory · Physics 2011-09-21 Aurel Bulgac , Vasily R. Shaginyan

Compact algebraic equations are derived, which connect the binding energy and the asymptotic normalization constant (ANC) of a subthreshold bound state with the effective-range expansion of the corresponding partial wave. These relations…

Nuclear Theory · Physics 2010-04-06 Jean-Marc Sparenberg , Pierre Capel , Daniel Baye

The nuclear charge radius plays a vital role in determining the equation of state of isospin asymmetric nuclear matter. Based on the correlation between the differences in charge radii of mirror-partner nuclei and the slope parameter ($L$)…

Nuclear Theory · Physics 2023-09-19 Rong An , Shuai Sun , Li-Gang Cao , Feng-Shou Zhang

It is extremely important to devise a reliable method to extract spectroscopic factors from transfer cross sections. We analyse the standard DWBA procedure and combine it with the asymptotic normalisation coefficient, extracted from an…

Nuclear Theory · Physics 2008-11-26 D. Y. Pang , F. M. Nunes , A. M. Mukhamedzhanov

There has been an upsurge of interest in two-nucleon decays thanks to the studies of nucleon-nucleon correlations. In our previous work, based on a novel time-dependent three-body approach, we demonstrated that the energy and angular…

Nuclear Theory · Physics 2022-09-14 S. M. Wang , W. Nazarewicz , R. J. Charity , L. G. Sobotka

In this review, we discuss recent applications of the ab initio symmetry-adapted no-core shell-model (SA-NCSM) theory for study and prediction of structure and reactions of stable and unstable nuclei from light to medium mass range. We…

We study the Okamoto-Nolen-Schiffer (ONS) anomaly in the binding energy of mirror nuclei at high density by adding a single neutron or proton to a quark gluon plasma. In this high-density limit we find an anomaly equal to two-thirds of the…

Nuclear Theory · Physics 2009-11-06 C. J. Horowitz , J. Piekarewicz

With both three-nucleon force and continuum coupling included, we have developed a self-consistent {\it ab initio} Gamow shell model within the Gamow Hartree-Fock (GHF) basis obtained by the realistic interaction itself. With the chiral…

Nuclear Theory · Physics 2022-02-17 S. Zhang , Y. Z. Ma , J. G. Li , B. S. Hu , Q. Yuan , Z. H. Cheng , F. R. Xu

Differences in the charge radii of mirror nuclei have been recently suggested to contain information on the slope of the symmetry energy L. To test this hypothesis, we perform statistical correlation analysis using quantified energy density…

Nuclear Theory · Physics 2022-02-16 Paul-Gerhard Reinhard , Witold Nazarewicz

We review the ab initio symmetry-adapted (SA) framework for determining the structure of stable and unstable nuclei, along with related electroweak, decay and reaction processes. This framework utilizes the dominant symmetry of nuclear…

Nuclear Theory · Physics 2021-08-12 Kristina D. Launey , Alexis Mercenne , Tomas Dytrych

In order to comprehend the process underlying mirror energy differences in mirror pairs, we have performed shell-model calculations for $T_z= \pm 2$ $sd$-shell nuclei in the mass range $A$= 20 to 36 and neutron number varying from $N$= 8 to…

Nuclear Theory · Physics 2025-12-23 Sakshi Shukla , Praveen C. Srivastava , Kazunari Kaneko

We have used an {\it ab initio} Gamow shell model to study the isospin symmetry breaking in the $A=16$ mirror nuclei of $^{16}$F, $^{16}$N, $^{16}$Ne and $^{16}$C. Starting from a chiral interaction with two-nucleon force (2NF) at N$^3$LO…

Nuclear Theory · Physics 2023-12-29 S. Zhang , F. R. Xu , J. G. Li , B. S. Hu , Z. H. Cheng , N. Michel , Y. Z. Ma , Q. Yuan , Y. H. Zhang

It has been proposed that there could be a mirror copy of the standard model particles, restoring the parity symmetry in the weak interaction on the global level. Oscillations between a neutral standard model particle, such as the neutron,…

It has recently been suggested that differences in the charge radii of mirror nuclei ($\Delta R^{\rm mirr}_{\rm ch}$) are strongly correlated with the neutron-skin thickness ($R_{\rm skin}$) of neutron-rich nuclei and with the slope of the…

Nuclear Theory · Physics 2024-09-02 Bai-Shan Hu

An observation of neutron-antineutron oscillations ($ n-\bar{n}$), which violate both $B$ and $B-L$ conservation, would constitute a scientific discovery of fundamental importance to physics and cosmology. A stringent upper bound on its…

High Energy Physics - Experiment · Physics 2019-06-12 V. V. Nesvizhevsky , V. Gudkov , K. V. Protasov , W. M. Snow , A. Yu. Voronin

Disentangling reaction mechanisms in weakly bound nuclei remains a long-standing challenge, often compounded by the treatment of absorption as an incoherent sum of channel contributions. Within the Continuum-Discretized Coupled-Channels…

Nuclear Theory · Physics 2026-01-21 Hao Liu , Jin Lei , Zhongzhou Ren

The spectra of mass-11 nuclei are unusual, and so pose a challenge for theoretical models of their structure. The set of isobars range from being well bound to nucleon emission (11B,11C) through weakly bound (11Li, 11Be), with the former…

Nuclear Theory · Physics 2022-09-28 K. Amos , S. Karataglidis , L. Canton , P. R. Fraser , K. Murulane

Using the B$\rho$-defined isochronous mass spectrometry technique, we report the first determination of the $^{23}$Si, $^{26}$P, $^{27}$S, and $^{31}$Ar masses and improve the precision of the $^{28}$S mass by a factor of 11. Our…

Single-particle resonant states in spherical nuclei are studied by an analytic continuation in the coupling constant (ACCC) method within the framework of the self-consistent relativistic mean field (RMF) theory. Taking the neutron resonant…

Nuclear Theory · Physics 2009-11-10 S. S. Zhang , J. Meng , S. G. Zhou , G. C. Hillhouse