Abstract
We exploit the separation of scales in weakly-bound nuclei to compute E2 transitions and electric form factors in a halo effective field theory (EFT) framework. The relevant degrees of freedom are the core and the halo neutron. The EFT expansion is carried out in powers of \(R_{core}/R_{halo}\), where \(R_{core}\) and \(R_{halo}\) denote the length scales of the core and halo, respectively. We include the strong s-wave and d-wave interactions by introducing dimer fields. The dimer propagators are regulated by employing the power divergence subtraction scheme and matched to the effective range expansion in the respective channel. Electromagnetic interactions are included via minimal substitution in the Lagrangian. We demonstrate that, depending on the observable and respective partial wave, additional local gauge-invariant operators contribute in LO, NLO and higher orders.
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References
B. Acharya, D.R. Phillips, 19 c in halo eft: effective-range parameters from coulomb dissociation experiments. Nucl. Phys. A 913, 103–115 (2013)
F. Ajzenberg-Selove, Energy levels of light nuclei a = 13–15. Nucl. Phys. A 523(1), 1–196 (1991)
S.I. Ando, Hypernuclei in halo/cluster effective field theory. Int. J. Mod. Phys. E 25(05), 1641,005 (2016)
S.R. Beane, M.J. Savage, Rearranging pionless effective field theory. Nucl. Phys. A 694(3), 511–524 (2001)
P.F. Bedaque, H.W. Hammer, U. Van Kolck, Narrow resonances in effective field theory. Phys. Lett. B 569(3), 159–167 (2003)
C. Bertulani, H.W. Hammer, U. Van Kolck, Effective field theory for halo nuclei: shallow p-wave states. Nucl. Phys. A 712(1), 37–58 (2002)
D.L. Canham, H.W. Hammer, Universal properties and structure of halo nuclei. Eur. Phys. J. A 37(3), 367–380 (2008)
D.L. Canham, H.W. Hammer, Range corrections for two-neutron halo nuclei in effective theory. Nucl. Phys. A 836(3), 275–292 (2010)
L. Fernando, A. Vaghani, G. Rupak, Electromagnetic form factors of one neutron halos with spin 1/2+ ground state (2015). arXiv:1511.04054
H.W. Hammer, Few-body universality in halo nuclei. EPJ Web Conf. EDP Sci. 113, 01004 (2016)
H.W. Hammer, D.R. Phillips, Electric properties of the beryllium-11 system in halo eft. Nucl. Phys. A 865(1), 17–42 (2011)
R. Higa, H.W. Hammer, U. van Kolck, \(\alpha \alpha \) scattering in halo effective field theory. Nucl. Phys. A 809(3), 171–188 (2008)
A. Jensen, K. Riisager, D.V. Fedorov, E. Garrido, Structure and reactions of quantum halos. Rev. Mod. Phys. 76(1), 215 (2004)
D.B. Kaplan, M.J. Savage, M.B. Wise, A new expansion for nucleon–nucleon interactions. Phys. Lett. B 424(3), 390–396 (1998a)
D.B. Kaplan, M.J. Savage, M.B. Wise, Two-nucleon systems from effective field theory. Nucl. Phys. B 534(1), 329–355 (1998b)
G. Rupak, Radiative reactions in halo effective field theory. Int. J. Mod. Phys. E 25(05), 1641,004 (2016)
G. Rupak, R. Higa, Model-independent calculation of radiative neutron capture on lithium-7. Phys. Rev. Lett. 106(22), 222,501 (2011)
G. Rupak, L. Fernando, A. Vaghani, Radiative neutron capture on carbon-14 in effective field theory. Phys. Rev. C 86(4), 044,608 (2012)
S. Typel, G. Baur, Electromagnetic strength of neutron and proton single-particle halo nuclei. Nucl. Phys. A 759(3), 247–308 (2005)
X. Zhang, K.M. Nollett, D. Phillips, Combining ab initio calculations and low-energy effective field theory for halo nuclear systems: The case of \({}^7 \text{Be}+ n \rightarrow {}^8 \text{B} +\gamma \). Phys. Rev. C 89(5), 051,602 (2014a)
X. Zhang, K.M. Nollett, D.R. Phillips, Combining ab initio calculations and low-energy effective field theory for halo nuclear systems: The case of \({}^7 \text{Li}+ n \rightarrow {}^8 \text{Li} +\gamma \). Phys. Rev. C 89(2), 024,613 (2014b)
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This article belongs to the Topical Collection “The 23rd European Conference on Few-Body Problems in Physics.
This work has been supported by Deutsche Forschungsgemeinschaft (SFB 1245).
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Braun, J., Hammer, HW. Electric Properties of One-Neutron Halo Nuclei in Halo EFT. Few-Body Syst 58, 94 (2017). https://doi.org/10.1007/s00601-017-1259-5
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DOI: https://doi.org/10.1007/s00601-017-1259-5