Cluster calculation for⁹ Be hypernucleus

Abstract

Configuration space Faddeev equations are applied for studying the 9ΛBe hypernucleus in the ααΛ cluster model. To describe αα and αΛ interactions, various phenomenological potentials are used. Contributions to the binding energy of the ground state coming from higher partial waves of the nuclear interactions are studied. The core effect of the nuclear αα potential is also considered.

Cluster model of s- and p-shell ΛΛ hypernuclei

“…18 −0. 11 MeV suggests a weak ΛΛ interaction. The NAGARA and the other events [2] conjectured as 4 ΛΛ H at Brookhaven AGS experiment E906 have revived the interest in extracting the nature of ΛΛ potential and therefore, giving rise to the hope of constraining the parameters of meson interaction models.…”

“…The NAGARA and the other events [2] conjectured as 4 ΛΛ H at Brookhaven AGS experiment E906 have revived the interest in extracting the nature of ΛΛ potential and therefore, giving rise to the hope of constraining the parameters of meson interaction models. Consequently, in the recent past a number of few-body [3][4][5][6][7] and cluster model [5,[8][9][10][11][12][13] calculations of hypernuclei in the S = −2 sector have been performed. These two types of approaches supplement each other.…”

“…Inherent to the model used here and in earlier work [5,[8][9][10][11][12][13] is the input of Λ-cluster and cluster-cluster correlations and interactions which are mainly an average over the properties of many baryons. Despite these simplifications the use of cluster model to S = −2 systems has given important insight not only in exploring the ΛΛ interaction but also in predicting new species which are yet to be identified or confirmed experimentally.…”

“…Despite these simplifications the use of cluster model to S = −2 systems has given important insight not only in exploring the ΛΛ interaction but also in predicting new species which are yet to be identified or confirmed experimentally. In the past, Filikhin and Gal [5] and their coworkers [8,10,11] in a series of papers have analyzed the s-shell ΛΛ hypernuclei in the ΛΛ-core model using Faddeev method and the p-shell ΛΛ hypernuclei in the Faddeev-Yakubovsky framework in the ΛΛαα model. The B ΛΛ of 6 ΛΛ He is explained and the s-shell hypernuclei 5 ΛΛ He and 5 ΛΛ H are predicted to be particle stable [5,8] for a wide range of simulated ΛΛ interaction models of Nijmegen group.…”

Generator coordinate method for hypernuclear spectroscopy with a covariant density functional

“…It is noteworthy that the next-generation facility J-PARC has already been in operation [3], opening up a new opportunity to perform high precision hypernuclear γ-ray spectroscopy studies. These experiments will shed light on low-lying states of hypernuclei, especially those of medium and heavy hypernuclei.From the theoretical side, the hypernuclear low-lying states have been studied mainly with a shell model [4][5][6] and with a cluster and few-body models [7][8][9][10][11][12][13]. In recent years, several other methods have also been developed for hypernuclear spectroscopy, including an abinitio method [14], the antisymmetrized molecular dynamics (AMD) [15][16][17], and the microscopic particlerotor model based on the covariant density functional theory [18,19].…”