Hyperspherical three-body model calculation for the bound and resonant states of the neutron dripline nuclei 42,44Mg using isospectral potential

Resonance energy and wave functions of $^{31}$Ne: a calculation using supersymmetric quantum mechanics

“…The SSQM scheme adopted in this work has an edge over others because, this is the only theoretical approach by which resonant state wave functions can be extracted and exploited to reproduce the experimental observable Γ. In our earlier works on exotic three-body systems-22 C[19], 42,44 Mg [44], we have applied this procedure successfully. The scheme has also been used for the unbound nucleus 15 Be by Dutta et al 2018 [52].…”

“…This is because, V and V are strictly isospectral. Earlier, the scheme has been implemented successfully in two-body model calculation for 19 C by Khan et al, 2021[10], in three-body cluster model calculation of resonances in 22 C by Hasan et al, 2019[19] and in 42,44 Mg by Khan et al 2021 [44].…”

Study of resonances in exotic neutron-rich 14Be by the use of isospectral potential

“…Tanihata and his coworkers are recognized as the first group to confirm the 2n-halo structure in neutron-rich 11 Li in 1985, and their work has piqued the interest of the nuclear physics community around the globe [4]. Some of the more intriguing instances of halo nuclei are: confirmed one-neutron halo structure in 11 Be [1][2][3][4][5], 14 B [6,7], 19 C [8][9][10][11], 31 Ne [12][13][14][15], and 37 Mg [16,17]; two-neutron halo structure in 6 He [18-21], 11 Li [22][23][24], 14 Be [25][26], 22 C [27-29] , and 40,42,44 Mg [30][31]; one-proton halo structure in 8 B [32], 26 P [33], 17 F [34], and two proton halo structure in 27 S [35], 17 Ne [36].…”