Electric Properties of the Neon-31 Nuclei Under Halo EFT Formalism

He, Fenghua

doi:10.1007/s00601-019-1484-1

Cited by 3 publications

(3 citation statements)

References 33 publications

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“…The above scheme is tested against bound and resonance states of 31 Ne which has weakly bound excited state of spin-parity J π = 1/2 + in addition to the 3/2 − ground state (see Nakamura et al 2014 [11] and He 2019 [39]). The system also exhibits low-lying resonances of spin-parity J π = 7/2 − as reported by Hamamoto 2010 [34] and Liu et al…”

Section: Construction Of One-parameter Family Of Ip Using Ssqmmentioning

confidence: 99%

“…Hence, 3/2 − ground state may be regarded as a p-wave state, while the predicted 1/2 + state may be regarded an s-wave state. These s-and p-wave states are the outcome of the interaction between valence neutron and core [39] nucleus. Here, Pauli restrictions arising due valence neutron and the core nucleons is suppressed by considering the core as point like particle.…”

Section: Construction Of One-parameter Family Of Ip Using Ssqmmentioning

confidence: 99%

“…By complex momentum representation technique, Tian et al 2017 [38] found 2p 3/2 resonance together with 1f 7/2 resonance, as well as a p − f inversion in single-particle levels. Very recently, He 2019 [39] using halo effective field theory (HEFT) with effective range method obtained S n for the 3/2…”

Section: Introductionmentioning

confidence: 99%

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

Hasan¹,

Khan²

2022

Preprint

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In this communication, we present an efficient method for computation of energy and wave function of weakly bound nuclei by the application of supersymmetric quantum mechanics (SSQM) and bound states in continuum (BIC) technique. As a case study the scheme is implemented to the two-body ( 30 Ne + n) cluster model calculation of neutron-rich nucleus 31 Ne. Woods-Saxon central potential with spin-orbit component is used as the core-nucleon interaction. The two-body Schrödinger equation in relative coordinate is solved numerically to get the energy and wave function of the low-lying bound states. A one-parameter family of isospectral potential (IP) is constructed from the bound state solutions following algebra of SSQM to find energies and wave functions of the resonance states. In addition to the 2p 3/2 − (-0.33 MeV) ground state, two bound excited states: s 1/2 (-0.30 MeV), p 1/2 (-0.15 MeV) are also obtained. Few low-lying resonance states: f 7/21 (2.57 MeV), f 7/22 (4.59 MeV), f 5/21 (5.58 MeV), p 1/21 (1.432 MeV), p 1/22 (4.165 MeV), p 3/21 (1.431 MeV), p 3/22 (4.205 MeV) are predicted. Among the predicted resonance states, the f 7/2 − state having resonance energy E R 4.59 MeV is in excellent agreement with the one found in the literature. KeywordsNuclear dripline • Halo nuclei • Resonance • Isospectral potential (IP) • Bound states in continuum (BIC) • Supersymmetric quantum mechanics (SSQM)

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Section: Construction Of One-parameter Family Of Ip Using Ssqmmentioning

confidence: 99%

Section: Construction Of One-parameter Family Of Ip Using Ssqmmentioning

confidence: 99%

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

Hasan¹,

Khan²

2022

Preprint

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Halo EFT for ³¹Ne in a spherical formalism

Elkamhawy

Hammer

2022

J. Phys. G: Nucl. Part. Phys.

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We calculate the electromagnetic properties of the deformed one-neutron halo candidate 31-Ne using Halo Effective Field Theory (Halo EFT). In this framework, 31-Ne is bound via a resonant P-wave interaction between the 30-Ne core and the valence neutron. We set up a spherical formalism for 31-Ne in order to calculate the electromagnetic form factors and the E1-breakup strength distribution into the 30-Ne-neutron continuum at leading order in Halo EFT. The associated uncertainties are estimated according to our power counting. In particular, we assume that the deformation of the 30-Ne core enters at next-to-leading order. It can be accounted for by including the J^P=2^+ excited state of 30-Ne as an explicit field in the effective Lagrangian.

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Resonance Energy and Wavefunction of $${}^{{31}}$$Ne: a Calculation Using Supersymmetric Quantum Mechanics

Hasan,

Khan

2023

Phys. Atom. Nuclei

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Electric Properties of the Neon-31 Nuclei Under Halo EFT Formalism

Cited by 3 publications

References 33 publications

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

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

Halo EFT for ³¹Ne in a spherical formalism

Resonance Energy and Wavefunction of $${}^{{31}}$$Ne: a Calculation Using Supersymmetric Quantum Mechanics

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Electric Properties of the Neon-31 Nuclei Under Halo EFT Formalism

Cited by 3 publications

References 33 publications

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

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

Halo EFT for 31Ne in a spherical formalism

Resonance Energy and Wavefunction of $${}^{{31}}$$Ne: a Calculation Using Supersymmetric Quantum Mechanics

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Product

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Halo EFT for ³¹Ne in a spherical formalism