非奇异、奇异和多重奇异核系统的广义质量公式
Generalised mass formula for non-strange, strange and multiply-strange nuclear systems
摘要：
用一个单一的质量公式同时描述了非奇异核、超核和多奇异核系统，该公式可用于估算包括轻质量核在内的较宽质量范围内的核系统的结合能.它不仅提供了一个很好的适合于现有的超子分离能的实验数据，而且还重现了相对论平均场（RMF）的计算结果。此外，它还可以提供Lambda（$Λ$）、Cascade-0（$Ξ^0$）和Cascade-minus（$Ξ^-$）滴液管。提出了一系列不含中子和质子的束缚纯超声波系的存在，其中最轻的粒子为$6Λ$，$9Ξ^0Ξ^0$，$10Ξ^-Ξ^-$，$1\Lambda7Ξ^0$，$1Λ8Ξ^-$，$1Ξ^09 Ξ^-$，$1Ξ^- 8Ξ^0$和$2Λ+3Ξ^0+3Ξ^-$.与RMF的预言一致，这个广义质量公式也预言了原子核$_{2Ξ^0 2Λ}{^8He}$是束缚的。还发现一个外来的$_{2Ξ^0 2Ξ^- 2Λ}{^{10}n}$核被束缚。这一新的质量公式可用于天体物理中奇异星体的质量计算，也可用于高能物理中估算核-核或核子-核子碰撞中的奇异产生产额。
英文摘要：
A simultaneous description of non-strange nuclei, hypernuclei and multiply-strange nuclear systems is provided by a single mass formula which is shown to be useful for estimating binding energies of nuclear systems over a wide mass range, including the light mass nuclei. It not only provides a good fit to the existing experimental data on hyperon-separation energies but also reproduces results of the relativistic mean field (RMF) calculations. In addition, it can provide the Lambda($Λ$), Cascade-0($Ξ^0$) and Cascade-minus ($Ξ^-$) drip lines. The existence of a range of bound pure-hyperonic systems without any neutron and proton is suggested among which $6Λ$, $9Ξ^0Ξ^0$, $10Ξ^-Ξ^-$, $1\Lambda7Ξ^0$, $1Λ8Ξ^-$, $1Ξ^09 Ξ^-$, $1Ξ^- 8Ξ^0$ and $2Λ+3Ξ^0+3Ξ^-$ represent the lightest species. In agreement with the RMF predictions, this generalized mass formula also predicts the nucleus $_{2Ξ^0 2Λ}{^8He}$ to be bound. An exotic $_{2Ξ^0 2Ξ^- 2Λ}{^{10}n}$ nucleus is also found to be bound. This new mass formula can be used in astrophysics for strange stellar objects, as well as in high energy physics for estimating the strangeness production yield in nucleus-nucleus or, nucleon-nucleon collisions.
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