Study of $^{7}$Li+$^{10}$B elastic scattering and the lithium-induced reaction of one-nucleon transfers from $^{10}$B($^{7}$Li,$^{6}$Li)$^{11}$B

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Main Authors: Stukalov, Sergey, Sobolev, Yuri, Penionzhkevich, Yuri, Burtebayev, Nassurlla, Goncharov, Sergey, Gurov, Yuri, Danilov, Andrey, Demyanova, Alla, Dmitriev, Sergey, Nassurlla, Maulen, Starastsin, Viktar, Shakhov, Alexey, Raidun, Semyon, Chau, Nguyen Hoai
Format: Preprint
Published: 2024
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author Stukalov, Sergey
Sobolev, Yuri
Penionzhkevich, Yuri
Burtebayev, Nassurlla
Goncharov, Sergey
Gurov, Yuri
Danilov, Andrey
Demyanova, Alla
Dmitriev, Sergey
Nassurlla, Maulen
Starastsin, Viktar
Shakhov, Alexey
Raidun, Semyon
Chau, Nguyen Hoai
author_facet Stukalov, Sergey
Sobolev, Yuri
Penionzhkevich, Yuri
Burtebayev, Nassurlla
Goncharov, Sergey
Gurov, Yuri
Danilov, Andrey
Demyanova, Alla
Dmitriev, Sergey
Nassurlla, Maulen
Starastsin, Viktar
Shakhov, Alexey
Raidun, Semyon
Chau, Nguyen Hoai
contents The angular distributions of elastic scattering of $^{7}$Li, as well as the lithium-induced reaction of one-nucleon transfers $^{10}$B($^{7}$Li,$^{6}$Li)$^{11}$B were measured at $E_\text{lab}$ = 58 MeV. Experiment was done using U-400 accelerator beam of the FLNR JINR, Dubna. Angular distribution for reaction $^{10}$B($^{7}$Li,$^{6}$Li)$^{11}$B with excitation of the 3.56 MeV state ($^{6}$Li*) is presented for the first time. The DWBA analysis of the differential cross section of the $^{10}$B($^{7}$Li,$^{6}$Li)$^{11}$B ground state (g.s.) transition and excited ($J^π$ = 0$^+$, $T$ = 1, $E$ = 3.56 MeV) state of $^{6}$Li transition was performed. The optical model potentials were obtained by fitting of measured elastic scattering data and evaluating parameters for the output reaction channels. Phenomenological approach based on solving an approximate equation for the reaction form factor was used to determine its radial dependence and empirical values of asymptotic normalization coefficient (ANC). Obtained values of ANCs for the $^{6}$Li$_\text{g.s.}$ and $^{6}$Li*(3.56 MeV) states are in agreement with the literature ones. Comparison of the radial dependences of form factors shows that the wave function of the $^{6}$Li nucleus in excited ($J^π$ = 0$^+$, $T$ = 1, $E$ = 3.56 MeV) state has increased spatial dimension compared to the ground state. This result is an argument in favor of a halo existence in $^{6}$Li*(3.56 MeV) state, while the question of a halo in $^{6}$Li$_\text{g.s.}$ still leaves open.
format Preprint
id arxiv_https___arxiv_org_abs_2408_09231
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Study of $^{7}$Li+$^{10}$B elastic scattering and the lithium-induced reaction of one-nucleon transfers from $^{10}$B($^{7}$Li,$^{6}$Li)$^{11}$B
Stukalov, Sergey
Sobolev, Yuri
Penionzhkevich, Yuri
Burtebayev, Nassurlla
Goncharov, Sergey
Gurov, Yuri
Danilov, Andrey
Demyanova, Alla
Dmitriev, Sergey
Nassurlla, Maulen
Starastsin, Viktar
Shakhov, Alexey
Raidun, Semyon
Chau, Nguyen Hoai
Nuclear Experiment
Nuclear Theory
The angular distributions of elastic scattering of $^{7}$Li, as well as the lithium-induced reaction of one-nucleon transfers $^{10}$B($^{7}$Li,$^{6}$Li)$^{11}$B were measured at $E_\text{lab}$ = 58 MeV. Experiment was done using U-400 accelerator beam of the FLNR JINR, Dubna. Angular distribution for reaction $^{10}$B($^{7}$Li,$^{6}$Li)$^{11}$B with excitation of the 3.56 MeV state ($^{6}$Li*) is presented for the first time. The DWBA analysis of the differential cross section of the $^{10}$B($^{7}$Li,$^{6}$Li)$^{11}$B ground state (g.s.) transition and excited ($J^π$ = 0$^+$, $T$ = 1, $E$ = 3.56 MeV) state of $^{6}$Li transition was performed. The optical model potentials were obtained by fitting of measured elastic scattering data and evaluating parameters for the output reaction channels. Phenomenological approach based on solving an approximate equation for the reaction form factor was used to determine its radial dependence and empirical values of asymptotic normalization coefficient (ANC). Obtained values of ANCs for the $^{6}$Li$_\text{g.s.}$ and $^{6}$Li*(3.56 MeV) states are in agreement with the literature ones. Comparison of the radial dependences of form factors shows that the wave function of the $^{6}$Li nucleus in excited ($J^π$ = 0$^+$, $T$ = 1, $E$ = 3.56 MeV) state has increased spatial dimension compared to the ground state. This result is an argument in favor of a halo existence in $^{6}$Li*(3.56 MeV) state, while the question of a halo in $^{6}$Li$_\text{g.s.}$ still leaves open.
title Study of $^{7}$Li+$^{10}$B elastic scattering and the lithium-induced reaction of one-nucleon transfers from $^{10}$B($^{7}$Li,$^{6}$Li)$^{11}$B
topic Nuclear Experiment
Nuclear Theory
url https://arxiv.org/abs/2408.09231