论文标题
jacobi无核壳模型$ p $ -shell hypernuclei
Jacobi no-core shell model for $p$-shell hypernuclei
论文作者
论文摘要
我们将最近开发的Jacobi无核壳模型扩展到大核。基于普通核的分数亲子的系数，我们定义一个基础，其中超子是观众粒子。然后，我们将过渡系数制定到挑出一对核子对的状态，这使我们能够以$ p $ -shell Hypernuclei实施超核多核多巴里顿哈密顿量。作为第一个应用程序，我们使用基础状态和过渡系数来计算$^{4}_λ$ He，$^{4}_λ$ h，$^{5}_λ$ he，$^{5}_λ$ he，$^{6}_λ$ $^{4}_λ$ He，$^{4}_λ$ h，$^{7}_λ$ li。为了获得融合的结果，我们采用了相似性重归其化组（SRG）来软化核子核子和核子相互作用。尽管对哈密顿量的这种演变的依赖性很重要，但我们表明结果可以使用强烈的相关性来识别首选的SRG参数。这允许对超核结合和激发能的有意义的预测。过渡系数将作为HDF5数据文件公开提供。
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 coefficients 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 $^{4}_Λ$He, $^{4}_Λ$H, $^{5}_Λ$He, $^{6}_Λ$He, $^{6}_Λ$Li, and $^{7}_Λ$Li and, additionally, the first excited states of $^{4}_Λ$He, $^{4}_Λ$H, and $^{7}_Λ$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.
