Investigation of contributions of the 22+ resonance in He6 via analysis of the He6(p, p′) reaction

We investigate the contribution of the ${2}_{2}^{+}$ resonance in $^{6}\mathrm{He}$ to observables via analysis of the $^{6}\mathrm{He}(p, p\ensuremath{'})$ reaction by using the continuum-discretized coupled channels method combined with the complex-scaling method. In this Rapid Communication, we obtain the ${2}_{2}^{+}$ state with the resonant energy 2.25 MeV and the decay width 3.75 MeV and analyze contributions of resonances and nonresonant continuum states to the cross section separately. It is found that the ${2}_{2}^{+}$ state plays an important role in the energy spectrum. Furthermore, contributions of nonresonant continuum states are also important to clarify the properties of the ${2}_{2}^{+}$ state.

[1]  Takuma Matsumoto,et al.  Borromean Feshbach resonance in $^{11}$Li studied via $^{11}$Li($p$,$p'$) , 2017, 1711.07209.

[2]  J. Tanaka.  Halo-induced large enhancement of soft dipole excitation of 11 Li observed via proton inelastic scattering , 2017, 1708.07719.

[3]  L. Fortunato,et al.  Electric multipole response of the halo nucleus 6He , 2016, 1604.03381.

[4]  E. Hiyama,et al.  Resonant states of the neutron-rich Λ hypernucleus He Λ7 , 2015 .

[5]  L. Fortunato,et al.  Pairing in the continuum: The quadrupole response of the Borromean nucleus 6 He , 2014, 1407.4232.

[6]  E. Hiyama,et al.  Complex-scaling calculation of three-body resonances using complex-range Gaussian basis functions: Application to 3α resonances in 12C , 2013, 1302.4256.

[7]  Y. Blumenfeld,et al.  New excited states in the halo nucleus 6He , 2012 .

[8]  M. Yahiro,et al.  The continuum discretized coupled-channels method and its applications , 2012, 1203.5392.

[9]  S. Chiba,et al.  Systematic description of the {sup 6}Li(n,n{sup '}){sup 6}Li{sup *}{yields}d+{alpha} reactions with the microscopic coupled-channels method , 2011, 1105.5195.

[10]  S. Karataglidis,et al.  Analyzing power for proton elastic scattering from the neutron-rich He6 nucleus , 2010, 1007.3775.

[11]  M. Yahiro,et al.  New description of the four-body breakup reaction , 2010, 1006.0668.

[12]  W. Nazarewicz,et al.  Isospin mixing and the continuum coupling in weakly bound nuclei , 2009, 0911.4902.

[13]  K. Ikeda,et al.  Resonances of 7He in the complex scaling method , 2007, 0710.2945.

[14]  K. Ikeda,et al.  The Complex Scaling Method for Many-Body Resonances and Its Applications to Three-Body Resonances , 2006 .

[15]  M. Yahiro,et al.  Coulomb breakup effects on the elastic cross section of He-6 + Bi-209 scattering near Coulomb barrier energies , 2005, nucl-th/0511059.

[16]  L. Giot,et al.  Investigation of 6He cluster structures , 2005, nucl-ex/0505007.

[17]  M. Hjorth-Jensen,et al.  Effective interaction techniques for the Gamow shell model , 2004, nucl-th/0410114.

[18]  A. Volya,et al.  Discrete and continuum spectra in the unified shell model approach. , 2004, Physical review letters.

[19]  D. R. Tilley,et al.  Energy levels of light nuclei A=8,9,10 , 2004 .

[20]  S. Chiba,et al.  Continuum-discretized coupled-channels method for four-body nuclear breakup inHe6+C12scattering , 2004, nucl-th/0409016.

[21]  S. C. Pieper,et al.  Quantum Monte Carlo calculations of excited states in A =6-8 nuclei , 2004, nucl-th/0409012.

[22]  P. Navrátil,et al.  Ab initio shell model with a genuine three-nucleon force for the p-shell nuclei , 2003, nucl-th/0305090.

[23]  Y. Kino,et al.  Gaussian expansion method for few-body systems , 2003 .

[24]  S. Karataglidis,et al.  24.5 A MeV 6He + p elastic and inelastic scattering , 2002 .

[25]  Y. Blumenfeld,et al.  Probing the 6He halo structure with elastic and inelastic proton scattering , 2000, nucl-ex/0004001.

[26]  I. Tanihata,et al.  Scattering of radioactive nuclei 6He and 3H by protons: Effects of neutron skin and halo in 6He, 8He, and 11Li , 1997 .

[27]  I. Thompson,et al.  New modes of halo excitation in the 6 He nucleus , 1997 .

[28]  Roberts,et al.  Structure of the neutron-halo nucleus 6He. , 1996, Physical review. C, Nuclear physics.

[29]  K. Ikeda,et al.  Theoretical Predictions of Low-Lying Three-Body Resonance States in 6He , 1995 .

[30]  H. Kanada,et al.  Microscopic Study of Nucleon-4He Scattering and Effective Nuclear Potentials , 1979 .

[31]  D. R. Thompson,et al.  Systematic investigation of scattering problems with the resonating-group method , 1977 .

[32]  André Lejeune,et al.  Optical-model potential in finite nuclei from Reid's hard core interaction , 1977 .

[33]  J. Combes,et al.  A class of analytic perturbations for one-body Schrödinger Hamiltonians , 1971 .

[34]  J. Combes,et al.  Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions , 1971 .

[35]  S. Saitō.  Interaction between Clusters and Pauli Principle , 1969 .

[36]  R. Thaler,et al.  THE SCATTERING OF FAST NUCLEONS FROM NUCLEI , 1959 .