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تسجيل مستخدم جديدS-shell $LambdaLambda$ hypernuclei based on chiral interactions
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We generalize the Jacobi no-core shell model (J-NCSM) to study double-strangeness hypernuclei. All particle
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We investigate the existence of bound $Xi$ break states in systems with $A=4-7$ baryons using the Jacobi NCSM approach in combination with chiral NN and $Xi$N interactions. We find three shallow bound states for the NNN$Xi$ system (with $(J^pi,T)=(1^
+,0)$, $(0^+,1)$ and $(1^+,1)$) with quite similar binding energies. The $^5_{Xi}mathrm{H}(frac{1}{2}^+,frac{1}{2})$ and $^7_{Xi}mathrm{H}(frac{1}{2}^+,frac{3}{2})$ hypernuclei are also clearly bound with respect to the thresholds $^4mathrm{He} + Xi$ and $^6mathrm{He} +Xi$, respectively. The binding of all these $Xi$ systems is predominantly due to the attraction of the chiral $Xi$N potential in the $^{33}S_1$ channel. A perturbative estimation suggests that the decay widths of all the observed states could be rather small.
We use an existing model of the $LambdaLambda N - Xi NN$ three-body system based in two-body separable interactions to study the $(I,J^P)=(1/2,1/2^+)$ three-body channel. For the $LambdaLambda$, $Xi N$, and $LambdaLambda - Xi N$ amplitudes we have co
nstructed separable potentials based on the most recent results of the HAL QCD Collaboration. They are characterized by the existence of a resonance just below or above the $Xi N$ threshold in the so-called $H$-dibaryon channel, $(i,j^p)=(0,0^+)$. A three-body resonance appears {2.3} MeV above the $Xi d$ threshold. We show that if the $LambdaLambda - Xi N$ $H$-dibaryon channel is not considered, the $LambdaLambda N - Xi NN$ $S$ wave resonance disappears. Thus, the possible existence of a $LambdaLambda N - Xi NN$ resonance would be sensitive to the $LambdaLambda - Xi N$ interaction. The existence or nonexistence of this resonance could be evidenced by measuring, for example, the $Xi d$ cross section.
We extend the recently developed Jacobi no-core shell model to hypernuclei. Based on the coefficients of fractional parentage for ordinary nuclei, we define a basis where the hyperon is the spectator particle. We then formulate transition coefficient
s to states that single out a hyperon-nucleon pair which allow us to implement a hypernuclear many-baryon Hamiltonian for $p$-shell hypernuclei. As a first application, we use the basis states and the transition coefficients to calculate the ground states of $^{4}_{Lambda}$He, $^{4}_{Lambda}$H, $^{5}_{Lambda}$He, $^{6}_{Lambda}$He, $^{6}_{Lambda}$Li, and $^{7}_{Lambda}$Li and, additionally, the first excited states of $^{4}_{Lambda}$He, $^{4}_{Lambda}$H, and $^{7}_{Lambda}$Li. In order to obtain converged results, we employ the similarity renormalization group (SRG) to soften the nucleon-nucleon and hyperon-nucleon interactions. Although the dependence on this evolution of the Hamiltonian is significant, we show that a strong correlation of the results can be used to identify preferred SRG parameters. This allows for meaningful predictions of hypernuclear binding and excitation energies. The transition coefficients will be made publicly available as HDF5 data files.
We show that microscopic calculations based on chiral effective field theory interactions constrain the properties of neutron-rich matter below nuclear densities to a much higher degree than is reflected in commonly used equations of state. Combined
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The structure of single-$Lambda$ hypernuclei is studied using the chiral hyperon-nucleon potentials derived at leading order (LO) and next-to-leading order (NLO) by the J{u}lich--Bonn--Munich group. Results for the separation energies of $Lambda$ sin
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