Electric Dipole Polarizability of and Implications for the Neutron Skin
Abstract
The electric dipole strength distribution in 48Ca between 5 and 25 MeV has been determined at RCNP, Osaka, from proton inelastic scattering experiments at forward angles. Combined with photoabsorption data at higher excitation energy, this enables the rst extraction of the electric dipole polarizability D(48Ca) = 2:07(22) fm3. Remarkably, the dipole response of 48Ca is found to be very similar to that of 40Ca, consistent with a small neutron skin in 48Ca. The experimental results are in good agreement with ab initio calculations based on chiral e ective eld theory interactions and with state-of-the-art density-functional calculations, implying a neutron skin in 48Ca of 0:14 - 0:20 fm.
- Authors:
-
- Technische Univ. Darmstadt (Germany). Inst. fur Kernphysik
- TRIUMF, Vancouver, BC (Canada); Univ. of British Columbia, Vancouver, BC (Canada)
- TRIUMF, Vancouver, BC (Canada); Univ. of Manitoba, Winnipeg, MB (Canada)
- Texas A & M Univ., Commerce, TX (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
- Osaka Univ. (Japan); Tokyo Women's Medical Univ. (Japan)
- Technische Univ. Darmstadt (Germany). Inst. fur Kernphysik; Max Planck Inst. fur Kernphysik, Heidelberg (Germany); GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany)
- Osaka Univ. (Japan)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1394473
- Alternate Identifier(s):
- OSTI ID: 1366338
- Grant/Contract Number:
- AC05-00OR22725; FG02-08ER41533; FG02-96ER40963; SC0008499
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 118; Journal Issue: 25; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Birkhan, J., Miorelli, M., Bacca, S., Bassauer, S., Bertulani, C. A., Hagen, G., Matsubara, H., von Neumann-Cosel, P., Papenbrock, T., Pietralla, N., Ponomarev, V. Yu., Richter, A., Schwenk, A., and Tamii, A. Electric Dipole Polarizability of Ca48 and Implications for the Neutron Skin. United States: N. p., 2017.
Web. doi:10.1103/PhysRevLett.118.252501.
Birkhan, J., Miorelli, M., Bacca, S., Bassauer, S., Bertulani, C. A., Hagen, G., Matsubara, H., von Neumann-Cosel, P., Papenbrock, T., Pietralla, N., Ponomarev, V. Yu., Richter, A., Schwenk, A., & Tamii, A. Electric Dipole Polarizability of Ca48 and Implications for the Neutron Skin. United States. https://doi.org/10.1103/PhysRevLett.118.252501
Birkhan, J., Miorelli, M., Bacca, S., Bassauer, S., Bertulani, C. A., Hagen, G., Matsubara, H., von Neumann-Cosel, P., Papenbrock, T., Pietralla, N., Ponomarev, V. Yu., Richter, A., Schwenk, A., and Tamii, A. Fri .
"Electric Dipole Polarizability of Ca48 and Implications for the Neutron Skin". United States. https://doi.org/10.1103/PhysRevLett.118.252501. https://www.osti.gov/servlets/purl/1394473.
@article{osti_1394473,
title = {Electric Dipole Polarizability of Ca48 and Implications for the Neutron Skin},
author = {Birkhan, J. and Miorelli, M. and Bacca, S. and Bassauer, S. and Bertulani, C. A. and Hagen, G. and Matsubara, H. and von Neumann-Cosel, P. and Papenbrock, T. and Pietralla, N. and Ponomarev, V. Yu. and Richter, A. and Schwenk, A. and Tamii, A.},
abstractNote = {The electric dipole strength distribution in 48Ca between 5 and 25 MeV has been determined at RCNP, Osaka, from proton inelastic scattering experiments at forward angles. Combined with photoabsorption data at higher excitation energy, this enables the rst extraction of the electric dipole polarizability D(48Ca) = 2:07(22) fm3. Remarkably, the dipole response of 48Ca is found to be very similar to that of 40Ca, consistent with a small neutron skin in 48Ca. The experimental results are in good agreement with ab initio calculations based on chiral e ective eld theory interactions and with state-of-the-art density-functional calculations, implying a neutron skin in 48Ca of 0:14 - 0:20 fm.},
doi = {10.1103/PhysRevLett.118.252501},
journal = {Physical Review Letters},
number = 25,
volume = 118,
place = {United States},
year = {Fri Jun 23 00:00:00 EDT 2017},
month = {Fri Jun 23 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Neutron density distributions from antiprotonic and atoms
journal, July 2007
- Kłos, B.; Trzcińska, A.; Jastrzębski, J.
- Physical Review C, Vol. 76, Issue 1
Constraints on Skyrme equations of state from properties of doubly magic nuclei and ab initio calculations of low-density neutron matter
journal, January 2014
- Brown, B. Alex; Schwenk, A.
- Physical Review C, Vol. 89, Issue 1
Giant dipole resonance as a quantitative constraint on the symmetry energy
journal, June 2008
- Trippa, Luca; Colò, Gianluca; Vigezzi, Enrico
- Physical Review C, Vol. 77, Issue 6
Complete Electric Dipole Response and the Neutron Skin in
journal, August 2011
- Tamii, A.; Poltoratska, I.; von Neumann-Cosel, P.
- Physical Review Letters, Vol. 107, Issue 6
Nuclear response in the ( p →, p →’) reaction at 290 MeV
journal, January 1991
- Häusser, O.; Vetterli, M. C.; Fergerson, R. W.
- Physical Review C, Vol. 43, Issue 1
Nuclear Forces and Their Impact on Neutron-Rich Nuclei and Neutron-Rich Matter
journal, October 2015
- Hebeler, K.; Holt, J. D.; Menéndez, J.
- Annual Review of Nuclear and Particle Science, Vol. 65, Issue 1
Improved nuclear matter calculations from chiral low-momentum interactions
journal, March 2011
- Hebeler, K.; Bogner, S. K.; Furnstahl, R. J.
- Physical Review C, Vol. 83, Issue 3
Giant and pigmy dipole resonances in , , and from chiral nucleon-nucleon interactions
journal, December 2014
- Bacca, S.; Barnea, N.; Hagen, G.
- Physical Review C, Vol. 90, Issue 6
The photonuclear cross sections of 48Ca
journal, July 1987
- O'Keefe, G. J.; Thompson, M. N.; Assafiri, Y. I.
- Nuclear Physics A, Vol. 469, Issue 2
The total absorption of photons by nuclei
journal, December 1985
- Ahrens, Jürgen
- Nuclear Physics A, Vol. 446, Issue 1-2
Efficient method for evaluating energy-dependent sum rules
journal, June 2014
- Nevo Dinur, N.; Barnea, N.; Ji, C.
- Physical Review C, Vol. 89, Issue 6
Neutron Radii in Nuclei and the Neutron Equation of State
journal, December 2000
- Alex Brown, B.
- Physical Review Letters, Vol. 85, Issue 25
Electric dipole response of 208Pb from proton inelastic scattering: Constraints on neutron skin thickness and symmetry energy
journal, February 2014
- Tamii, A.; von Neumann-Cosel, P.; Poltoratska, I.
- The European Physical Journal A, Vol. 50, Issue 2
Electroweak measurements of neutron densities in CREX and PREX at JLab, USA
journal, February 2014
- Horowitz, C. J.; Kumar, K. S.; Michaels, R.
- The European Physical Journal A, Vol. 50, Issue 2
Electromagnetic reactions on light nuclei
journal, November 2014
- Bacca, Sonia; Pastore, Saori
- Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 12
The Lorentz integral transform (LIT) method and its applications to perturbation-induced reactions
journal, October 2007
- Efros, V. D.; Leidemann, W.; Orlandini, G.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 34, Issue 12
Information content of a new observable: The case of the nuclear neutron skin
journal, May 2010
- Reinhard, P. -G.; Nazarewicz, W.
- Physical Review C, Vol. 81, Issue 5
Evidence for a new nuclear ‘magic number’ from the level structure of 54Ca
journal, October 2013
- Steppenbeck, D.; Takeuchi, S.; Aoi, N.
- Nature, Vol. 502, Issue 7470
Measurement of the Neutron Radius of through Parity Violation in Electron Scattering
journal, March 2012
- Abrahamyan, S.; Ahmed, Z.; Albataineh, H.
- Physical Review Letters, Vol. 108, Issue 11
Analysis of Photonuclear Cross Sections
journal, June 1959
- Penfold, A. S.; Leiss, J. E.
- Physical Review, Vol. 114, Issue 5
Dipole polarizability of and nuclear energy density functionals
journal, September 2015
- Hashimoto, T.; Krumbholz, A. M.; Reinhard, P. -G.
- Physical Review C, Vol. 92, Issue 3
Coupled-cluster computations of atomic nuclei
journal, September 2014
- Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M.
- Reports on Progress in Physics, Vol. 77, Issue 9
Equation of State and Neutron star Properties Constrained by Nuclear Physics and Observation
journal, July 2013
- Hebeler, K.; Lattimer, J. M.; Pethick, C. J.
- The Astrophysical Journal, Vol. 773, Issue 1
Constraints on the symmetry energy and neutron skins from pygmy resonances in and
journal, April 2010
- Carbone, Andrea; Colò, Gianluca; Bracco, Angela
- Physical Review C, Vol. 81, Issue 4
First Principles Description of the Giant Dipole Resonance in
journal, September 2013
- Bacca, S.; Barnea, N.; Hagen, G.
- Physical Review Letters, Vol. 111, Issue 12
Dipole and electric quadrupole excitations in
journal, February 2002
- Hartmann, T.; Enders, J.; Mohr, P.
- Physical Review C, Vol. 65, Issue 3
Model dependence of the neutron-skin thickness on the symmetry energy
journal, June 2016
- Mondal, C.; Agrawal, B. K.; Centelles, M.
- Physical Review C, Vol. 93, Issue 6
Pygmy dipole resonance in Pb
journal, April 2012
- Poltoratska, I.; von Neumann-Cosel, P.; Tamii, A.
- Physical Review C, Vol. 85, Issue 4
Isoscalar giant resonances in
journal, April 2011
- Lui, Y. -W.; Youngblood, D. H.; Shlomo, S.
- Physical Review C, Vol. 83, Issue 4
Symmetry energy, neutron skin, and neutron star radius from chiral effective field theory interactions
journal, February 2014
- Hebeler, K.; Schwenk, A.
- The European Physical Journal A, Vol. 50, Issue 2
Excitation and photon decay of giant resonances from high-energy collisions of heavy ions
journal, March 1993
- Bertulani, C. A.; Nathan, A. M.
- Nuclear Physics A, Vol. 554, Issue 1
Constraints on the symmetry energy and neutron skins from experiments and theory
journal, July 2012
- Tsang, M. B.; Stone, J. R.; Camera, F.
- Physical Review C, Vol. 86, Issue 1
Measurement of the Dipole Polarizability of the Unstable Neutron-Rich Nucleus
journal, December 2013
- Rossi, D. M.; Adrich, P.; Aksouh, F.
- Physical Review Letters, Vol. 111, Issue 24
Neutron Skin of from Coherent Pion Photoproduction
journal, June 2014
- Tarbert, C. M.; Watts, D. P.; Glazier, D. I.
- Physical Review Letters, Vol. 112, Issue 24
Neutron skin deduced from antiprotonic atom data
journal, September 2007
- Brown, B. Alex; Shen, G.; Hillhouse, G. C.
- Physical Review C, Vol. 76, Issue 3
Search for weak transitions in with inelastic proton scattering
journal, May 2017
- Mathy, M.; Birkhan, J.; Matsubara, H.
- Physical Review C, Vol. 95, Issue 5
Neutron and weak-charge distributions of the 48Ca nucleus
journal, November 2015
- Hagen, G.; Ekström, A.; Forssén, C.
- Nature Physics, Vol. 12, Issue 2
Giant Resonances in the Doubly Magic Nucleus from the ( ) Reaction
journal, October 2000
- Strauch, S.; von Neumann-Cosel, P.; Rangacharyulu, C.
- Physical Review Letters, Vol. 85, Issue 14
Asymmetric nuclear matter based on chiral two- and three-nucleon interactions
journal, May 2016
- Drischler, C.; Hebeler, K.; Schwenk, A.
- Physical Review C, Vol. 93, Issue 5
Electric dipole polarizability in Pb: Insights from the droplet model
journal, August 2013
- Roca-Maza, X.; Brenna, M.; Colò, G.
- Physical Review C, Vol. 88, Issue 2
The Nuclear Symmetry Energy and Other Isovector Observables from the Point of View of Nuclear Structure
journal, January 2015
- Colò, G.; Roca-Maza, X.; Paar, N.
- Acta Physica Polonica B, Vol. 46, Issue 3
Neutron radii in mean-field models
journal, July 2002
- Furnstahl, R. J.
- Nuclear Physics A, Vol. 706, Issue 1-2
Magnetic spectrometer Grand Raiden
journal, February 1999
- Fujiwara, M.; Akimune, H.; Daito, I.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 422, Issue 1-3
Measurement of high energy resolution inelastic proton scattering at and close to zero degrees
journal, July 2009
- Tamii, A.; Fujita, Y.; Matsubara, H.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 605, Issue 3
Low-energy electric dipole response in 120 Sn
journal, May 2015
- Krumbholz, A. M.; von Neumann-Cosel, P.; Hashimoto, T.
- Physics Letters B, Vol. 744
Total nuclear photon absorption cross sections for some light elements
journal, October 1975
- Ahrens, J.; Borchert, H.; Czock, K. H.
- Nuclear Physics A, Vol. 251, Issue 3
The equation of state of hot, dense matter and neutron stars
journal, March 2016
- Lattimer, James M.; Prakash, Madappa
- Physics Reports, Vol. 621
Extraction of neutron densities from elastic proton scattering by at 650 MeV
journal, April 1994
- Starodubsky, V. E.; Hintz, N. M.
- Physical Review C, Vol. 49, Issue 4
Response functions from integral transforms with a Lorentz kernel
journal, October 1994
- Efros, V.
- Physics Letters B, Vol. 338, Issue 2-3
Electromagnetic transition strengths from inelastic proton scattering: The cases of and
journal, April 2016
- Birkhan, J.; Matsubara, H.; von Neumann-Cosel, P.
- Physical Review C, Vol. 93, Issue 4
Neutron density distributions of deduced via proton elastic scattering at MeV
journal, October 2010
- Zenihiro, J.; Sakaguchi, H.; Murakami, T.
- Physical Review C, Vol. 82, Issue 4
Electromagnetic processes in relativistic heavy ion collisions
journal, June 1988
- Bertulani, Carlos A.; Baur, Gerhard
- Physics Reports, Vol. 163, Issue 5-6
The Nuclear Equation of State and Neutron Star Masses
journal, November 2012
- Lattimer, James M.
- Annual Review of Nuclear and Particle Science, Vol. 62, Issue 1
Excitation of Isovector Spin-Dipole Resonances and Neutron Skin of Nuclei
journal, April 1999
- Krasznahorkay, A.; Fujiwara, M.; van Aarle, P.
- Physical Review Letters, Vol. 82, Issue 16
Electric dipole polarizability from first principles calculations
journal, September 2016
- Miorelli, M.; Bacca, S.; Barnea, N.
- Physical Review C, Vol. 94, Issue 3
Masses of exotic calcium isotopes pin down nuclear forces
journal, June 2013
- Wienholtz, F.; Beck, D.; Blaum, K.
- Nature, Vol. 498, Issue 7454
Measurements of the giant dipole resonance with monoenergetic photons
journal, July 1975
- Berman, B. L.; Fultz, S. C.
- Reviews of Modern Physics, Vol. 47, Issue 3
High energy-resolution zero-degree facility for light-ion scattering and reactions at iThemba LABS
journal, October 2011
- Neveling, R.; Fujita, H.; Smit, F. D.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 654, Issue 1
Accurate nuclear radii and binding energies from a chiral interaction
journal, May 2015
- Ekström, A.; Jansen, G. R.; Wendt, K. A.
- Physical Review C, Vol. 91, Issue 5
Unexpectedly large charge radii of neutron-rich calcium isotopes
journal, February 2016
- Garcia Ruiz, R. F.; Bissell, M. L.; Blaum, K.
- Nature Physics, Vol. 12, Issue 6
Magnetic dipole excitations in nuclei: Elementary modes of nucleonic motion
journal, September 2010
- Heyde, Kris; von Neumann-Cosel, Peter; Richter, Achim
- Reviews of Modern Physics, Vol. 82, Issue 3
Neutron skin thickness from the measured electric dipole polarizability in , , and
journal, December 2015
- Roca-Maza, X.; Viñas, X.; Centelles, M.
- Physical Review C, Vol. 92, Issue 6
Electromagnetic processes in relativistic heavy ion collisions
journal, October 1986
- Bertulani, C. A.; Baur, G.
- Nuclear Physics A, Vol. 458, Issue 4
The nuclear symmetry energy and other isovector observables from the
point of view of nuclear structure
text, January 2015
- Colo', G.; Roca-Maza, X.; Paar, N.
- INFN Open Access Repository
The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
text, January 2007
- Efros, V. D.; Leidemann, W.; Orlandini, G.
- arXiv
The information content of a new observable: the case of the nuclear neutron skin
text, January 2010
- Reinhard, P. -G.; Nazarewicz, W.
- arXiv
Pygmy dipole resonance in 208Pb
text, January 2012
- Poltoratska, I.; von Neumann-Cosel, P.; Tamii, A.
- arXiv
Equation of state and neutron star properties constrained by nuclear physics and observation
text, January 2013
- Hebeler, K.; Lattimer, J. M.; Pethick, C. J.
- arXiv
Constraints on Skyrme Equations of State from Properties of Doubly Magic Nuclei and Ab-Initio Calculations of Low-Density Neutron Matter
text, January 2013
- Brown, B. Alex; Schwenk, A.
- arXiv
Coupled-cluster computations of atomic nuclei
text, January 2013
- Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M.
- arXiv
Symmetry energy, neutron skin, and neutron star radius from chiral effective field theory interactions
text, January 2014
- Hebeler, K.; Schwenk, A.
- arXiv
An efficient method for evaluating energy-dependent sum rules
text, January 2014
- Dinur, Nir Nevo; Ji, Chen; Bacca, Sonia
- arXiv
The Equation of State of Hot, Dense Matter and Neutron Stars
text, January 2015
- Lattimer, James M.; Prakash, M.
- arXiv
Unexpectedly large charge radii of neutron-rich calcium isotopes
text, January 2016
- Ruiz, R. F. Garcia; Bissell, M. L.; Blaum, K.
- arXiv
Electric dipole polarizability from first principles calculations
text, January 2016
- Miorelli, M.; Bacca, S.; Barnea, N.
- arXiv
Model dependence of the neutron-skin thickness on the symmetry energy
text, January 2016
- Mondal, C.; Agrawal, B. K.; Centelles, M.
- arXiv
Search for weak M1 transitions in $^{48}$Ca with inelastic proton scattering
text, January 2017
- Mathy, M.; Birkhan, J.; Matsubara, H.
- arXiv
Works referencing / citing this record:
The radius of the canonical-mass neutron star and chiral effective field theory
journal, January 2019
- Sammarruca, F.; Millerson, Randy
- Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 2
Neutron skins of atomic nuclei: per aspera ad astra
journal, August 2019
- Thiel, M.; Sfienti, C.; Piekarewicz, J.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 9
Effects of nuclear symmetry energy and equation of state on neutron star properties
journal, October 2019
- Ji, Fan; Hu, Jinniu; Bao, Shishao
- Physical Review C, Vol. 100, Issue 4
Chiral -matrix folding-model approach to reaction cross sections for scattering of Ca isotopes on a C target
journal, January 2020
- Tagami, Shingo; Tanaka, Masaomi; Takechi, Maya
- Physical Review C, Vol. 101, Issue 1
Origin of fine structure of the giant dipole resonance in -shell nuclei
journal, April 2018
- Fearick, R. W.; Erler, B.; Matsubara, H.
- Physical Review C, Vol. 97, Issue 4
Systematic study of giant quadrupole resonances with the subtracted second random-phase approximation: Beyond-mean-field centroids and fragmentation
journal, October 2018
- Vasseur, O.; Gambacurta, D.; Grasso, M.
- Physical Review C, Vol. 98, Issue 4
Harmonic Potential Theorem: Extension to Spin-, Velocity-, and Density-Dependent Interactions
journal, September 2019
- Zanoli, S.; Roca-Maza, X.; Colò, G.
- Physical Review Letters, Vol. 123, Issue 11
Uncertainties in constraining low-energy constants from 3H $ \beta$β decay
journal, August 2017
- Klos, P.; Carbone, A.; Hebeler, K.
- The European Physical Journal A, Vol. 53, Issue 8
Electric and magnetic dipole modes in high-resolution inelastic proton scattering at 0°
journal, July 2019
- von Neumann-Cosel, Peter; Tamii, Atsushi
- The European Physical Journal A, Vol. 55, Issue 7
First principles electromagnetic responses in medium-mass nuclei: Recent progress from coupled-cluster theory
journal, December 2019
- Simonis, Johannes; Bacca, Sonia; Hagen, Gaute
- The European Physical Journal A, Vol. 55, Issue 12
Correlations among symmetry energy elements in Skyrme models
journal, September 2018
- Mondal, C.; Agrawal, B. K.; De, J. N.
- International Journal of Modern Physics E, Vol. 27, Issue 09
Cooling of Small and Massive Hyperonic Stars
journal, August 2018
- Negreiros, Rodrigo; Tolos, Laura; Centelles, Mario
- The Astrophysical Journal, Vol. 863, Issue 1
Origin of fine structure of the giant dipole resonance in sd-shell nuclei
text, January 2014
- Fearick, R. W.; Erler, B.; Matsubara, H.
- arXiv
Test of the Brink-Axel hypothesis for the pygmy dipole resonance
text, January 2016
- Martin, D.; von Neumann-Cosel, P.; Tamii, A.
- arXiv
Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation
text, January 2017
- Drischler, C.; Hebeler, K.; Schwenk, A.
- arXiv
Relativistic Brueckner-Hartree-Fock theory for neutron drops
text, January 2018
- Shen, Shihang; Liang, Haozhao; Meng, Jie
- arXiv
Correlations among symmetry energy elements in Skyrme models
text, January 2018
- Mondal, C.; Agrawal, B. K.; De, J. N.
- arXiv
Nuclear symmetry energy and hadron-quark mixed phase in neutron stars
text, January 2018
- Wu, X. H.; Shen, H.
- arXiv
The nucleon effective mass and its isovector splitting
text, January 2018
- Malik, Tuhin; Mondal, C.; Agrawal, B. K.
- arXiv
Neutron skins of atomic nuclei: per aspera ad astra
text, January 2019
- Thiel, M.; Sfienti, C.; Piekarewicz, J.
- arXiv
Effects of nuclear symmetry energy and equation of state on neutron star properties
text, January 2019
- Ji, Fan; Hu, Jinniu; Bao, Shishao
- arXiv
$g$-matrix folding-model approach to reaction cross sections for scattering of Ca isotopes on a C target
text, January 2019
- Tagami, Shingo; Tanaka, Masaomi; Takechi, Maya
- arXiv