论文标题
$λnn$三体问题$ s $ - 波逆散射理论数据
$ΛNN $ three-body problem within $s$-wave inverse scattering on theoretical data
论文作者
论文摘要
$λn$ - 三体问题的$λn$通过$ s $ - 波逆散射在理论数据上收回的电位。旋转依赖性的Malfliet-Tjon I/III电位，其基准参数以-2.2307 MEV结合deuteron，代表$ nn $相互作用。三体问题通过超球方法解决。从旋转的有效$λn$中，有四分之一旋转单元和四分之三的自旋三重态贡献，结合能和$λnp $ $λnp $（$ j^π= 1/2^+$）的根平方半径分别为-3.0759 mev和7.7 fm。这高于$λnp $（$ j^π= 1/2^+$）的当前实验结合能，但与同一超核寿命的高精度测量结果的最新趋势一致。随着$λn$电势中的电荷对称性破坏，发现$λnp $（$ j^π= 1/2^+$）绑定能与绑定的$λnn $（$ j^π= 1/2^+$）状态一致。
$ΛN $ potentials recovered through the application of $s$-wave inverse scattering on theoretical data are demonstrated on the $ΛNN $ three-body problem. The spin-dependent Malfliet-Tjon I/III potential, with benchmark parameters that bind the deuteron at -2.2307 MeV, represents the $NN$ interaction. The three-body problem is solved through the hyperspherical method. From spin-averaged effective $ΛN $ potentials with one-quarter spin singlet and three-quarters spin triplet contributions, the binding energy and root-mean-square radius of $Λn p$ ($J^π=1/2^+$) computed is found to be -3.0759 MeV and 7.7 fm, respectively. This is higher than the current experimental binding energy for $Λn p$ ($J^π=1/2^+$), but consistent with recent trends in high-precision measurements on the lifetime of the same hypernucleus. With charge symmetry breaking in the $ΛN $ potentials, this $Λn p$ ($J^π=1/2^+$) binding energy was found to be consistent with a bound $Λn n$ ($J^π=1/2^+$) state.
