Abstract
Loosely bound nuclei far from the stability region emerge as a quantum phenomenon with many universal properties. The connection between these properties and the underlying symmetries can be best explored with halo/cluster EFT, an effective field theory where the softness of the binding momentum and the hardness of the core(s) form the expansion parameter of a given perturbative approach. In the following I highlight a particular application where these ideas are being tested, namely capture reactions.
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References
Braaten E., Hammer H.-W.: Universality in few-body systems with large scattering length. Phys. Rep. 428, 259 (2006)
Bertulani C.A., Hammer H.-W., van Kolck U.: Effective field theory for halo nuclei: shallow p-wave states. Nucl. Phys. A712, 37 (2002)
Bedaque P.F., Hammer H.-W., van Kolck U.: Narrow resonances in effective field theory. Phys. Lett. B569, 159 (2003)
Higa R., Hammer H.-W., van Kolck U.: \({\alpha\alpha}\) scattering in halo effective field theory. Nucl. Phys. A809, 171 (2008)
Gelman B.A.: Narrow resonances and short-range interactions. Phys. Rev. C 80, 034005 (2009)
Phillips D.R., Hammer H.-W.: Electromagnetic properties of the Beryllium-11 nucleus in Halo EFT. EPJ Web Conf. 3, 06002 (2010)
Phillips D.R., Hammer H.-W.: Electric properties of the Beryllium-11 system in Halo EFT. Nucl. Phys. A865, 17 (2011)
Rupak G., Higa R.: Model-independent calculation of radiative neutron capture on Lithium-7. Phys. Rev. Lett. 106, 222501 (2011)
Fernando L., Higa R., Rupak G.: Leading E1 and M1 contributions to radiative neutron capture on lithium-7. Eur. Phys. J. A 48, 24 (2012)
Rupak G., Fernando L., Vaghani A.: Radiative neutron capture on carbon-14 in effective field theory. Phys. Rev. C 86, 044608 (2012)
Acharya B., Phillips D.R.: 19C in halo EFT: effective-range parameters from Coulomb dissociation experiments. Nucl. Phys. A913, 103 (2013)
Canham D.L., Hammer H.-W.: Universal properties and structure of halo nuclei. Eur. Phys. J. A 37, 367 (2008)
Canham D.L., Hammer H.-W.: Range corrections for two-neutron halo nuclei in effective theory. Nucl. Phys. A836, 275 (2010)
Rotureau J., van Kolck U.: Effective field theory and the Gamow shell model. Few Body Syst. 54, 725 (2013)
Ji C., Elster Ch., Phillips D.R.: 6He nucleus in halo effective field theory. Phys. Rev. C 90, 044004 (2014)
Lensky V., Birse M.C.: Coupled-channel effective field theory and proton- 7Li scattering. Eur. Phys. J. A 47, 142 (2011)
Ryberg E., Forssén C., Hammer H.-W., Platter L.: Effective field theory for proton halo nuclei. Phys. Rev. C 89, 014325 (2014)
Bertulani C.A., Gade A.: Nuclear astrophysics with radioactive beams. Phys. Rep. 485, 195 (2010)
Trache L. et al.: Asymptotic normalization coefficients for 8 B 7Be + p from a study of 8 Li 7Li + n. Phys. Rev. C 67, 062801 (2003)
Zhang X., Nollett K.M., Phillips D.R.: Combining ab initio calculations and low-energy effective field theory for halo nuclear systems: the case of \({{}^7{\rm Li}+n\to {}^8{\rm Li}+\gamma}\). Phys. Rev. C 89, 024613 (2014)
Zhang X., Nollett K.M., Phillips D.R.: Combining ab initio calculations and low-energy effective field theory for halo nuclear systems: the case of \({{}^7{\rm Be}+p\to {}^8{\rm B}+\gamma}\). Phys. Rev. C 89, 051602 (2014)
Kaplan D.B.: More effective field theory for non-relativistic scattering. Nucl. Phys. B494, 471 (1997)
Koester L., Knopf K., Waschkowski W.: Neutron scattering length of lithium and boron and their isotopes. Z. Phys. A 312, 81 (1983)
Angulo C. et al.: Experimental determination of the 7Be + p scattering lengths. Nucl. Phys. A 716, 211 (2003)
Weinberg S.: Effective chiral lagrangians for nucleon-pion interactions and nuclear forces. Nucl. Phys. B363, 3 (1991)
Kaplan D.B., Savage M.J., Wise M.B.: A new expansion for nucleon–nucleon interactions. Phys. Lett. B424, 390 (1998)
Kaplan D.B., Savage M.J., Wise M.B.: Two-nucleon systems from effective field theory. Nucl. Phys. B534, 329 (1998)
van Kolck U.: Effective field theory of short-range forces. Nucl. Phys. A645, 273 (1999)
Tombrello T.: The capture of protons by 7Be. Nucl. Phys. 71, 459 (1965)
Davids B., Typel S.: Electromagnetic dissociation of 8B and the astrophysical S factor for \({{}^7Be(p,\gamma){}^8{\rm B}}\). Phys. Rev. C 68, 045802 (2003)
Huang J.T., Bertulani C.A., Guimaraes V.: Radiative capture of nucleons at astrophysical energies with single-particle states. At. Data Nucl. Data Tables 96, 824 (2010)
Hammer H.W., Lee D.: Causality and universality in low-energy quantum scattering. Phys. Lett. B681, 500 (2009)
Hammer H.W., Lee D.: Causality and the effective range expansion. Ann. Phys. 325, 2212 (2010)
Tanihata I. et al.: Measurements of interaction cross sections and nuclear radii in the light p-shell region. Phys. Rev. Lett. 55, 2676 (1985)
Imhof W.L. et al.: Cross sections for the \({{\rm Li}^7(n,\gamma){\rm Li}^8}\) reaction. Phys. Rev. 114, 1037 (1959)
Nagai Y. et al.: \({{}^7{\rm Li}(n,\gamma)^8{\rm Li}}\) reaction and the S 17 factor at E c.m. > 500keV. Phys. Rev. C 71, 055803 (2005)
Blackmon J.C. et al.: Measurement of \({{}^7{\rm Li}(n,\gamma)^8{\rm Li}}\) cross sections at E n = 1.5−−−1340eV. Phys. Rev. C 54, 383 (1996)
Lynn J.E., Jurney E.T., Raman S.: Direct and valence neutron capture by 7Li. Phys. Rev. C 44, 764 (1991)
Izsak R. et al.: Determining the \({{}^7{\rm Li}(n,\gamma)}\) cross section via Coulomb dissociation of 8Li. Phys. Rev. C 88, 065808 (2013)
Stone N.J.: Table of nuclear magnetic dipole and electric quadrupole moments. At. Data Nucl. Data Tables 96, 75 (2005)
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Higa, R. Capture Reactions with Halo Effective Field Theory. Few-Body Syst 56, 761–766 (2015). https://doi.org/10.1007/s00601-015-1004-x
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DOI: https://doi.org/10.1007/s00601-015-1004-x