One-proton emission of $^{102}$Sb and its sensitivity to proton-neutron interaction

Fuente: arXiv
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Main Authors: Oishi, Tomohiro, Kimura, Masaaki, Fortunato, Lorenzo
Format: Preprint
Published: 2024
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_version_ 1866910838610198528
author Oishi, Tomohiro
Kimura, Masaaki
Fortunato, Lorenzo
author_facet Oishi, Tomohiro
Kimura, Masaaki
Fortunato, Lorenzo
contents One-proton emission from the $^{102}$Sb nucleus is discussed, assuming an inert $^{100}$Sn core and the valence proton and neutron. There are experimentally measured bound states in the $^{100}$Sn-neutron system, whereas no particle-bound $^{100}$Sn-proton state has been observed. With time-dependent three-body calculations, the $1^+$ ground state of $^{102}$Sb is suggested as a possible proton emitter. This conclusion is reached by assuming a weakening effect on the proton-neutron ($pn$) interaction with respect to a bare deuteron. An analogous phenomenon is necessary to reproduce the empirical binding energies of $^{42}$Sc and $^{18}$F. Continuous shift from the unbound to bound regions by changing the $pn$-interaction strength is demonstrated. The lower limit of lifetime is evaluated as $τ\gtrsim 4.4 \times 10^{-18}$ seconds in the no-$pn$-interaction limit. However, the actual lifetime is expected as longer with a finite $pn$ interaction. Observation of a resonant state in $^{102}$Sb and its decay would provide a benchmark of the $pn$-pairing correlation.
format Preprint
id arxiv_https___arxiv_org_abs_2410_23418
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle One-proton emission of $^{102}$Sb and its sensitivity to proton-neutron interaction
Oishi, Tomohiro
Kimura, Masaaki
Fortunato, Lorenzo
Nuclear Theory
Nuclear Experiment
One-proton emission from the $^{102}$Sb nucleus is discussed, assuming an inert $^{100}$Sn core and the valence proton and neutron. There are experimentally measured bound states in the $^{100}$Sn-neutron system, whereas no particle-bound $^{100}$Sn-proton state has been observed. With time-dependent three-body calculations, the $1^+$ ground state of $^{102}$Sb is suggested as a possible proton emitter. This conclusion is reached by assuming a weakening effect on the proton-neutron ($pn$) interaction with respect to a bare deuteron. An analogous phenomenon is necessary to reproduce the empirical binding energies of $^{42}$Sc and $^{18}$F. Continuous shift from the unbound to bound regions by changing the $pn$-interaction strength is demonstrated. The lower limit of lifetime is evaluated as $τ\gtrsim 4.4 \times 10^{-18}$ seconds in the no-$pn$-interaction limit. However, the actual lifetime is expected as longer with a finite $pn$ interaction. Observation of a resonant state in $^{102}$Sb and its decay would provide a benchmark of the $pn$-pairing correlation.
title One-proton emission of $^{102}$Sb and its sensitivity to proton-neutron interaction
topic Nuclear Theory
Nuclear Experiment
url https://arxiv.org/abs/2410.23418