One-proton emission from the LiΛ6 hypernucleus

Abstract

One-proton (1p) radioactive emission under the influence of the Λ 0 -hyperon inclusion is discussed. I investigate the hyper-1p emitter, 6 Λ Li, with a time-dependent three-body model. Two-body interactions for α-proton and α-Λ 0 subsystems are determined consistently to their resonant and bound energies, respectively. For a proton-Λ 0 subsystem, a contact interaction, which can be linked to the vacuum-scattering length of the proton-Λ 0 scattering, is employed. A noticeable sensitivity of the 1p-emission observables to the scattering length of the proton-Λ 0 interaction is shown. The Λ 0 -hyperon inclusion leads to a remarkable fall of the 1p-resonance energy and width from the hyperon-less α-proton resonance. For some empirical values of the proton-Λ 0 scattering length, the 1p-resonance width is suggested to be of the order of 0.1 − 0.01 MeV. Thus, the 1p emission from 6 Λ Li may occur in the timescale of 10 −20 − 10 −21 seconds, which is sufficiently shorter than the selfdecay lifetime of Λ 0 , 10 −10 seconds. By taking the spin-dependence of the proton-Λ 0 interaction into account, a remarkable split of the J π = 1 − and 2 − 1p-resonance states is predicted. It is also suggested that, if the spin-singlet proton-Λ 0 interaction is sufficiently attractive, the 1p emission from the 1 − ground state is forbidden. From these results, I conclude that the 1p emission can be a suitable phenomenon to investigate the basic properties of the hypernuclear interaction, for which a direct measurement is still difficult.PACS numbers: 21.10. Tg, 21.80.+a, 23.50.+z, 27.20.+n. 6 Λ Li, is presented. There, my result and discussion on the hyperon-inclusion effect on the 1p emission are described arXiv:1802.04811v1 [nucl-th]

Two-fermion emission from spin-singlet and triplet resonances in one dimension

“…In Refs. [1][2][3][4][5], these coefficients were determined by "confining potential" procedure [6][7][8][9], where a meta-stable state is fixed to have the similar, compact distribution of density to the bound state. The normalization is represented as…”

“…In Refs. [1][2][3][4][5], we employed the radial box, R box , for discretization. There, we had to employ a large box to obtain the convergence in the time-development calculation: if that box was not sufficiently large, there should be a contamination by the reflected component at R box .…”

“…In Refs. [1][2][3][4][5], we employed the phenomenological procedure with the confining potential. This procedure has provided a good approximation for the nuclear radioactive processes [6][7][8][9].…”

“…In Refs. [1][2][3][4][5], we employed the time-dependent computation to investigate the nuclear meta-stable phenomena, e.g. two-nucleon emission.…”

Spin–isospin properties of $$\varvec{N=Z}$$ odd–odd nuclei from a core+$$\varvec{pn}$$ three-body model including core excitations

“…This assumption greatly reduces the model space greatly and allows us to solve the many-body problem rather simply. Thus, the three-body model has been applied to various nuclear systems, for example, 6 Li (proton, neutron, and 4 He), weakly bound systems such as 6 He (two neutrons and 4 He) and 11 Li (two neutrons and 9 Li) [1][2][3], one-proton radioactivity of 6 Λ Li hypernucleus [4] and deuteron clusterization [5,6]. In the last decade, new experimental facilities using a highly intensive radioactive beam have enabled us to explore nuclei near the drip-line of the nuclear chart, where the three-body model becomes an effective approach to study di-neutron and di-proton correlations in exotic nuclei [7][8][9][10] and quasi-bound states of 26 O [5,[11][12][13].…”