Abstract.
The properties of the two-quasiparticle-like soft E1-modes and Pygmy Dipole Resonances (PDR) have been and are systematically studied with the help of inelastic and electromagnetic experiments which essentially probe the particle-hole components of these vibrations. It is shown that further insight in their characterisation can be achieved with the help of two-nucleon transfer reactions, in particular concerning the particle-particle components of the modes, in terms of absolute differential cross sections which take properly into account successive and simultaneous transfer mechanisms corrected for non-orthogonality, able to reproduce the experimental findings at the 10% level. The process 9Li(t, p)11Li(1-) is discussed, and absolute cross sections predicted.
Similar content being viewed by others
References
P.F. Bortignon, R.A. Broglia, D.R. Bès, Phys. Lett. B 76, 153 (1978)
P.F. Bortignon, Nuclear field theory of two-phonon states, in International School of Physics “Enrico Fermi” Course LXIX, Elementary Modes of Excitation in Nuclei, edited by A. Bohr, R.A. Broglia, (North Holland, Amsterdam, 1977) p. 519
A. Repko, P.G. Reinhard, V.O. Nesterenko, J. Kvasil, Phys. Rev. C 87, 04305 (2013)
N. Ryezayeva, T. Hartmann, Y. Kalmykov, H. Lenske, P. von Neumann-Cosel, V.Yu. Ponomarev, A. Richter, A. Shevchenko, S. Volz, J. Wambach, Phys. Rev. Lett. 89, 272502 (2002)
R.A. Broglia, C. Riedel, T. Udagawa, Nucl. Phys. A 169, 225 (1971)
L.N. Cooper, Phys. Rev. 104, 1189 (1956)
F. Barranco, P.F. Bortignon, R.A. Broglia, G. Colò, E. Vigezzi, Eur. Phys. J. A 11, 385 (2001)
M.V. Zhukov, B.V. Danilin, D.V. Fedorov, J.M. Bang, I.J. Thompson, J.S. Vaagen, Phys. Rep. 231, 151 (1993)
B.D. Josephson, Phys. Lett. 1, 251 (1962)
I. Tanihata, M. Alcorta, D. Bandyopadhyay, R. Bieri, L. Buchmann, B. Davids, N. Galinski, D. Howell, W. Mills, S. Mythili, R. Openshaw, E. Padilla-Rodal, G. Ruprecht, G. Sheffer, A.C. Shotter, M. Trinczek, P. Walden, H. Savajols, T. Roger, M. Caamano, W. Mittig, P. Roussel-Chomaz, R. Kanungo, A. Gallant, M. Notani, G. Savard, I.J. Thompson, Phys. Rev. Lett. 100, 192502 (2008)
G. Potel, F. Barranco, E. Vigezzi, R.A. Broglia, Phys. Rev. Lett. 105, 172502 (2010)
R. Kanungo, A. Sanetullaev, J. Tanaka, S. Ishimoto, G. Hagen, T. Myo, T. Suzuki, C. Andreoiu, P. Bender, A.A. Chen, B. Davids, J. Fallis, J.P. Fortin, N. Galinski, A.T. Gallant, P.E. Garrett, G. Hackman, B. Hadinia, G. Jansen, M. Keefe, R. Krücken, J. Lighthall, E. McNeice, D. Miller, T. Otsuka, J. Purcell, J.S. Randhawa, T. Roger, A. Rojas, H. Savajols, A. Shotter, I. Tanihata, I.J. Thompson, C. Unsworth, P. Voss, Z. Wang, Phys. Rev. Lett. 114, 192502 (2015)
T. Nakamura et al., Phys. Rev. Lett. 96, 252502 (2006)
P. Avogadro, F. Barranco, R.A. Broglia, E. Vigezzi, Phys. Rev. C 75, 012805 (2007)
P. Avogadro, F. Barranco, R.A. Broglia, E. Vigezzi, Nucl. Phys. A 811, 378 (2008)
R.A. Broglia, F. Barranco, A. Idini, G. Potel, E. Vigezzi, Phys. Scr. 94, 114002 (2019)
H. Lenske, F. Hofmann, C.M. Keil, Prog. Part. Nucl. Phys. 46, 187 (2001)
S.E.A. Orrigo, H. Lenske, Phys. Lett. B 677, 214 (2009)
F. Barranco, G. Potel, E. Vigezzi, R.A. Broglia, $d({}^9Li},p)$, specific probe of ^10Li, paradigm of parity--inverted, soft--dipole isotones with one neutron outside the $N = 6$ closed shell, arXiv:1812.01761
R.A. Broglia, P.F. Bortignon, F. Barranco, E. Vigezzi, A. Idini, G. Potel, Phys. Scr. 91, 063012 (2016)
D.R. Bès, Nucl. Phys. 49, 544 (1963)
A. Aprahamian, R.C. de Haan, S.R. Lesher, C. Casarella, A. Stratman, H.G. Börner, H. Lehmann, M. Jentschel, A.M. Bruce, Phys. Rev. C 98, 034303 (2018)
J.F. Sharpey-Schafer, R.A. Bark, S.P. Bvumbi, T.R.S. Dinoko, S.N.T. Majola, Eur. Phys. J. A 55, 15 (2019)
J.V. Maher, J.R. Erskine, A.M. Friedman, J.P. Schiffer, R.H. Siemssen, Phys. Rev. Lett. 25, 302 (1970)
R.F. Casten, E.R. Flynn, J.D. Garrett, O. Hansen, T.J. Mulligan, D.R. Bès, R.A. Broglia, B. Nilsson, Phys. Lett. B 40, 333 (1972)
I. Ragnarsson, R.A. Broglia, Nucl. Phys. A 263, 315 (1976)
Madhusree Mukerjee, Yoichiro Nambu, Ann. Phys. 191, 143 (1989)
G. Potel, A. Idini, F. Barranco, E. Vigezzi, R.A. Broglia, Phys. Rev. C 87, 054321 (2013)
F. Barranco, R.A. Broglia, G.F. Bertsch, Phys. Rev. Lett. 60, 507 (1988)
F. Barranco, G.F. Bertsch, R.A. Broglia, E. Vigezzi, Nucl. Phys. A 512, 253 (1990)
D. Brink, R.A. Broglia, Nuclear Superfluidity (Cambridge University Press, Cambridge, 2005)
G. Potel, A. Idini, F. Barranco, E. Vigezzi, R.A. Broglia, Rep. Prog. Phys. 76, 106301 (2013)
R.A. Broglia, A. Winther, Heavy Ion Reactions (Westview Press, Boulder, CO, 2004)
G. Potel. cooper, code for two-nucleon transfer reactions, (unpublished)
F. Barranco, G. Potel, E. Vigezzi, R.A. Broglia, Eur. Phys. J. A 55, 104 (2019)
J. Bardeen, L.N. Cooper, J.R. Schrieffer, Phys. Rev. 106, 162 (1957)
J. Bardeen, L.N. Cooper, J.R. Schrieffer, Phys. Rev. 108, 1175 (1957)
Y. Nambu, Dynamical symmetry breaking, in Broken Symmetry, Selected papers of Y. Nambu, edited by T. Eguchi, K. Nishigama (World Scientific, Singapore, 1995) p. 436
D.R. Bes, R.A. Broglia., Nucl. Phys. 80, 289 (1966)
Nobuo Hinohara, Witold Nazarewicz, Phys. Rev. Lett. 116, 152502 (2016)
F. Barranco, R.A. Broglia, G. Potel, E. Vigezzi, J. Phys.: Conf. Ser. 527, 012005 (2014)
R.A. Broglia, G. Potel, F. Barranco, E. Vigezzi, J. Phys. G 37, 064022 (2010)
F. Barranco, G. Potel, R.A. Broglia, E. Vigezzi, Phys. Rev. Lett. 119, 082501 (2017)
A. Bohr, B.R. Mottelson, Nuclear Structure, Vol. II (Benjamin, New York, 1975)
S. Weinberg, The Quantum Theory of Fields, Vol. 1 (Cambridge University Press, Cambridge, 1996).
I. Talmi, I. Unna, Phys. Rev. Lett. 4, 469 (1960)
H. Sagawa, B.A. Brown, H. Esbensen, Phys. Lett. B 309, 1 (1993)
D. Vollhardt, P. Wölfle, The Superfluid Phases of Helium 3 (Taylor and Francis, London, 1990)
A.J. Leggett, Quantum Liquids (Oxford University Press, Oxford, 2006)
P.W. Anderson, Rev. Mod. Phys. 38, 298 (1966)
D.M. Brink, Nuclear Forces (Pergamon Press, Oxford, 1955)
Takaharu Otsuka, Toshio Suzuki, Rintaro Fujimoto, Hubert Grawe, Yoshinori Akaishi, Phys. Rev. Lett. 95, 232502 (2005)
Takayuki Myo, Kiyoshi Katō, Hiroshi Toki, Kiyomi Ikeda, Phys. Rev. C 76, 024305 (2007)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by N. Alamanos
Data Availability Statement
This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All relevant data generated during the present study are contained in this paper.]
Publisher’s Note
The EPJ Publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Broglia, R.A., Barranco, F., Potel, G. et al. Characterization of vorticity in pygmy resonances and soft-dipole modes with two-nucleon transfer reactions. Eur. Phys. J. A 55, 243 (2019). https://doi.org/10.1140/epja/i2019-12789-y
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2019-12789-y