Effective field theory approach to rotational bands in odd-mass nuclei

Alnamlah, I. K.; Pérez, E. A. Coello; Phillips, Daniel R.

doi:10.1103/physrevc.104.064311

Cited by 8 publications

(3 citation statements)

References 34 publications

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“…Alternatively, one could include the excited states of the core by describing the halo nucleus as a neutron coupled to a rotor similar to the work of Refs. [35,36].…”

Section: Discussionmentioning

confidence: 99%

Halo EFT for $^{31}$Ne in a spherical formalism

Elkamhawy¹,

Hammer²

2022

Preprint

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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 Pwave 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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“…Alternatively, one could include the excited states of the core by describing the halo nucleus as a neutron coupled to a rotor similar to the work of Refs. [35,36].…”

Section: Discussionmentioning

confidence: 99%

Halo EFT for $^{31}$Ne in a spherical formalism

Elkamhawy¹,

Hammer²

2022

Preprint

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“…more precise predictions in the electric sector and potentially to a smaller expansion parameter. Alternatively, one could include the excited states of the core by describing the halo nucleus as a neutron coupled to a rotor similar to the work of [48,49].…”

Section: Discussionmentioning

confidence: 99%

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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“…If we instead decrease the resolution scale, likely at the cost of predictive power, we can integrate out the pion to obtain a systematically improvable pionless EFT [145,146] for which we can solve the Schrödinger equation and perform ab initio computations of processes at very low external momenta. Continuing in this direction, one can devise halo EFT [147,148], and EFTs for collective phenomena [149][150][151][152][153]. Although these latter two methods are systematically improvable, i.e., they are equipped with a power-counting scheme, they have even less predictive power because they exhibit a relatively small breakdown scale and are tailored to analyze a particular class of low-energy phenomena.…”

Section: Figurementioning

confidence: 99%