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Charge symmetry breaking (CSB) in the $\Lambda$-nucleon strong interaction generates a charge dependence of $\Lambda$ separation energies in mirror hypernuclei, which in the case of the $A=4$ mirror hypernuclei $0^+$ ground states is…

Nuclear Theory · Physics 2016-08-05 Daniel Gazda , Avraham Gal

Charge symmetry breaking (CSB) is particularly strong in the A=4 mirror hypernuclei $_{\Lambda}^4$H--$_{\Lambda}^4$He. Recent four-body no-core shell model calculations that confront this CSB by introducing $\Lambda$-$\Sigma^0$ mixing to…

Nuclear Theory · Physics 2018-03-08 Avraham Gal , Daniel Gazda

We study the charge symmetry breaking (CSB) effect in the binding energy of mirror hypernuclei in the mass region $A=7\sim 48$ in relativistic mean field (RMF) models introducing $NN$ and $\Lambda N$ interactions. The phenomenological…

Nuclear Theory · Physics 2025-04-21 Ting-Ting Sun , Yusuke Tanimura , Hiroyuki Sagawa , Emiko Hiyama

The separation energies of the isospin triplet $^7_\Lambda\mathrm{He}$, $^7_\Lambda \mathrm{Li^{*}}$, $^7_\Lambda$Be, and the $T=1/2$ doublet $^8_\Lambda$Li, $^8_\Lambda$Be are investigated within the no-core shell model. Calculations are…

Nuclear Theory · Physics 2023-03-08 Hoai Le , Johann Haidenbauer , Ulf-G. Meißner , Andreas Nogga

We utilize the experimentally known difference of the $\Lambda$ separation energies of the mirror hypernuclei ${^4_\Lambda \rm He}$ and ${^4_\Lambda \rm H}$ to constrain the $\Lambda$-neutron interaction. We include the leading…

Nuclear Theory · Physics 2021-11-03 Johann Haidenbauer , Ulf-G. Meißner , Andreas Nogga

The energy spacing between the ground-state spin doublet of $^4_\Lambda $He(1$^+$,0$^+$) was determined to be $1406 \pm 2 \pm 2$ keV, by measuring $\gamma$ rays for the $1^+ \to 0^+$ transition with a high efficiency germanium detector…

We report on ab-initio NCSM calculations of the A=4 mirror Lambda hypernuclei Lambda-4H and Lambda-4He, using the Bonn-Juelich LO chiral EFT YN potentials plus a CSB Lambda0--Sigma0 mixing vertex. In addition to reproducing rather well the…

Nuclear Theory · Physics 2016-08-05 Daniel Gazda , Avraham Gal

We investigate three models for the charge symmetry breaking (CSB) of the nucleon-nucleon ($NN$) interaction (based upon $\rho$-$\omega$ mixing, nucleon mass splitting, and phenomenology) that all reproduce the empirical value for the CSB…

Nuclear Theory · Physics 2009-11-06 R. Machleidt , H. Müther

The $\Lambda$ separation energies in the mirror hypernuclei ${_{\Lambda}^4}{\rm H}-{_{\Lambda}^4}{\rm He}$ exhibit large charge symmetry breaking (CSB). Analyzing this CSB within pionless effective field theory while using partially…

Nuclear Theory · Physics 2023-03-21 M. Schäfer , N. Barnea , A. Gal

Recent experiments have presented more accurate data on the $\Lambda\Lambda$-binding energies of a few $\Lambda\Lambda$- hypernuclei. This is important as the $\Lambda\Lambda$- bond energies ($\Delta B_{\Lambda\Lambda}$) of double-$\Lambda$…

Nuclear Theory · Physics 2018-09-25 Chhanda Samanta , Thomas A. Schmitt

We propose a new approach to determine the strength of the charge symmetry breaking (CSB) term in the framework of nuclear density functional theory. It is shown that once ab initio calculations are available including accurate description…

Nuclear Theory · Physics 2022-02-14 Tomoya Naito , Gianluca Colò , Haozhao Liang , Xavier Roca-Maza , Hiroyuki Sagawa

We study the charge symmetry breaking (CSB) effect in mirror hypernuclei using the deformed Skyrme Hartree-Fock (DSHF)+ Bardeen-Cooper-Schrieffer (BCS) model together with the CSB term and pairing interaction. Our model provides good…

Nuclear Theory · Physics 2025-10-24 Shi-jing Zha , Suo Qiu , H. Sagawa , Xian-Rong Zhou

Based upon the Bonn meson-exchange model for the nucleon-nucleon ($NN$) interaction, we study systematically the charge-symmetry-breaking (CSB) of the $NN$ interaction due to nucleon mass splitting. Particular attention is payed to CSB…

Nuclear Theory · Physics 2008-11-26 G. Q. Li , R. Machleidt

The structure of the isodoublet hypernuclei, $^{10}_{\Lambda}$B and $^{10}_{\Lambda}$Be within the framework of an $\alpha +\alpha +\Lambda +N$ four-body cluster model is studied. Interactions between the constituent subunits are determined…

Nuclear Theory · Physics 2012-08-03 Emiko Hiyama , Yasuo Yamamoto

We present a relativistic mean-field model that incorporates charge symmetry breaking (CSB) of nuclear force via $ \omega $-$ \rho^0 $ meson mixing, along with corrections to the electromagnetic interaction including the nucleon form…

Nuclear Theory · Physics 2025-10-21 Yusuke Tanimura , Tomoya Naito , Hiroyuki Sagawa , Myung-Ki Cheoun

In recent years, several experiments using magnetic spectrometers provided high precision results in the field of Hypernuclear Physics. In particular, the accurate determination of the Lambda-binding energy, B(Lambda), contributed to…

Nuclear Experiment · Physics 2017-04-05 E. Botta , T. Bressani , A. Feliciello

An approach is proposed to link the charge symmetry breaking (CSB) nuclear interaction and the low-energy constants in quantum chromodynamics (QCD) by matching the CSB effect in nuclear matter. The resulting CSB interaction is applied to…

Nuclear Theory · Physics 2024-01-26 Hiroyuki Sagawa , Tomoya Naito , Xavier Roca-Maza , Tetsuo Hatsuda

Charge symmetry breaking (CSB) in the strong interaction occurs because of the difference between the masses of the up and down quarks. The use of effective field theories allows us to follow this influence of confined quarks in hadronic…

Nuclear Experiment · Physics 2008-11-26 Gerald A Miller , Allena K. Opper , Edward J. Stephenson

Ongoing progress in understanding and evaluating charge symmetry breaking in $\Lambda$ hypernuclei is discussed in connection to recent measurements of the $_{\Lambda}^{4}{\rm H}(0^+_{\rm g.s.})$ binding energy at MAMI [A1 Collaboration:…

Nuclear Theory · Physics 2018-02-21 Avraham Gal

Coulomb displacement energies, i.e., the differences between the energies of corresponding nuclear states in mirror nuclei, are evaluated using recent models for the nucleon-nucleon (NN) interaction. These modern NN potentials account for…

Nuclear Theory · Physics 2009-10-31 C. Harzer , H. Müther , R. Machleidt
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