Effective field theory for halo nuclei: shallow -wave states

Bertulani, C. A.; Hammer, H. W.; Kolck, U. van

doi:10.1016/s0375-9474(02)01270-8

Cited by 278 publications

(527 citation statements)

References 38 publications

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“…Detailed investigations of the effects of omitted higher virial coefficients, as well as the effects of heavy nuclei will be the topic of separate studies. For a better error estimate, it is important to also have a reliable calculation of the third virial coefficients, which could, e.g., come from a calculation in the effective field theory for halo nuclei [46]. Furthermore, these error estimates can also help clarify the domain of validity of the virial expansion.…”

Section: Discussionmentioning

confidence: 99%

Cluster formation and the virial equation of state of low-density nuclear matter

2006

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We present the virial equation of state of low-density nuclear matter composed of neutrons, protons and alpha particles. The virial equation of state is model-independent, and therefore sets a benchmark for all nuclear equations of state at low densities. We calculate the second virial coefficients for nucleon-nucleon, nucleon-alpha and alpha-alpha interactions directly from the relevant binding energies and scattering phase shifts. The virial approach systematically takes into account contributions from bound nuclei and the resonant continuum, and consequently provides a framework to include strong-interaction corrections to nuclear statistical equilibrium models. The virial coefficients are used to make model-independent predictions for a variety of properties of nuclear matter over a range of densities, temperatures and compositions. Our results provide constraints on the physics of the neutrinosphere in supernovae. The resulting alpha particle concentration differs from all equations of state currently used in supernova simulations. Finally, the virial equation of state greatly improves our conceptual understanding of low-density nuclear matter.

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Section: Discussionmentioning

confidence: 99%

Cluster formation and the virial equation of state of low-density nuclear matter

2006

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“…The method described here can also be applied to other * Electronic address: koenig.389@physics.osu.edu systems of charged particles. In particular, it should be interesting to use it together with the effective field theory for halo nuclei [7,8]. When effective ranges are calculated as well, one can extract near-threshold bound-state properties such as asymptotic normalization constants from scattering parameters with relations as given, e.g., in Refs.…”

Section: Introductionmentioning

confidence: 99%

Precision calculation of the quartet-channelp−dscattering length

König

Hammer

2014

Phys. Rev. C

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We present a fully perturbative calculation of the quartet-channel proton-deuteron scattering length up to next-to-next-to-leading order in pionless effective field theory. We use a framework that consistently extracts the Coulomb-modified effective range function for a screened Coulomb potential in momentum space and allows for a clear linear extrapolation back to the physical limit without screening. Our result of 4 a p-d = (10.9 ± 0.4) fm agrees with older experimental determinations of this quantity but deviates from potential-model calculations and a more recent result from Black et al., which find larger values around 14 fm. As a possible resolution to this discrepancy, we discuss the scheme dependence of Coulomb subtractions in a three-body system.

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“…[10][11][12] for reviews and references to earlier work.) If one also introduces field operators for certain tightly-bound clusters of nucleons, such as α particles, the pionless EFT is usually referred to as halo EFT [13,14]. This approach can be viewed as a generalization of nuclear cluster models.…”

Section: Halo Eftmentioning

confidence: 99%

“…While halo EFT naturally accommodates resonant interactions in higher partial waves [13,14], there is no Efimov effect in this case [21,22]. The possibility of observing excited Efimov states in two-neutron halo nuclei was investigated in Refs.…”

Section: Halo Eftmentioning

confidence: 99%

Few-Body Universality in Halo Nuclei

Hammer

2016

EPJ Web of Conferences

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Abstract. Few-body systems with resonant S-wave interactions show universal properties which are independent of the interaction at short distances. These properties include a geometric spectrum of three-and higher-body bound states and universal correlations between few-body observables. They can be observed on a wide range of scales from hadrons and nuclei to ultracold atoms. In this contribution, we focus on few-body universality in halo nuclei which can be considered as effective few-body systems consisting of halo nucleons and a core. This concept provides a unifying framework for halo nuclei with calculable corrections. Recent progress in this field with an emphasis on the possibility of finding Efimov states in halo nuclei is discussed.

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Effective field theory for halo nuclei: shallow -wave states

Cited by 278 publications

References 38 publications

Cluster formation and the virial equation of state of low-density nuclear matter

Cluster formation and the virial equation of state of low-density nuclear matter

Precision calculation of the quartet-channelp−dscattering length

Few-Body Universality in Halo Nuclei

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