Extraction of the Landau-Migdal Parameter from the Gamow-Teller Giant Resonance in ^{132}Sn.

The key parameter to discuss the possibility of the pion condensation in nuclear matter, i.e., the so-called Landau-Migdal parameter g^{'}, was extracted by measuring the double-differential cross sections for the (p,n) reaction at 216  MeV/u on a neutron-rich doubly magic unstable nucleus, ^{132}Sn with the quality comparable to data taken with stable nuclei. The extracted strengths for Gamow-Teller (GT) transitions from ^{132}Sn leading to ^{132}Sb exhibit the GT giant resonance (GTR) at the excitation energy of 16.3±0.4(stat)±0.4(syst)  MeV with the width of Γ=4.7±0.8  MeV. The integrated GT strength up to E_{x}=25  MeV is S_{GT}^{-}=53±5(stat)_{-10}^{+11}(syst), corresponding to 56% of Ikeda's sum rule of 3(N-Z)=96. The present result accurately constrains the Landau-Migdal parameter as g^{'}=0.68±0.07, thanks to the high sensitivity of the GTR energy to g^{'}. In combination with previous studies on the GTR for ^{90}Zr and ^{208}Pb, the result of this work shows the constancy of this parameter in the nuclear chart region with (N-Z)/A=0.11 to 0.24 and A=90 to 208.

[1]  E. Litvinova,et al.  Relativistic approach to nuclear spin-isospin excitations including quasiparticle-vibration coupling , 2017, 1702.00044.

[2]  E. Milman,et al.  Inverse kinematics (p, n) reactions studies using the WINDS slow neutron detector and the SAMURAI spectrometer , 2016 .

[3]  E. Vigezzi,et al.  Gamow-Teller response and its spreading mechanism in doubly magic nuclei , 2014, 1502.04836.

[4]  B. A. Brown,et al.  Benchmarking nuclear models for Gamow–Teller response , 2014, 1402.0877.

[5]  Hiromi Sato,et al.  SAMURAI spectrometer for RI beam experiments , 2013 .

[6]  B. A. Brown,et al.  Extraction of Gamow-Teller strength distributions from 56 Ni and 55 Co via the ( p , n ) reaction in inverse kinematics , 2012 .

[7]  T. Saito,et al.  Complete sets of polarization transfer observables for the Pb-208 ($\vec{p}, \vec{n}$) reaction at 296 MeV and Gamow-Teller and spin-dipole strengths for Pb-208 , 2012 .

[8]  P. Bortignon,et al.  Gamow-Teller response within Skyrme random-phase approximation plus particle-vibration coupling , 2012, 1203.6280.

[9]  P. Ring,et al.  Fragmentation of spin-dipole strength in 90Zr and 208Pb , 2012, 1204.6260.

[10]  B. A. Brown,et al.  Gamow-Teller transition strengths from 56Ni. , 2011, Physical review letters.

[11]  S. Lunardi,et al.  Search for the pygmy dipole resonance in 68Ni at 600 MeV/nucleon. , 2009, Physical review letters.

[12]  H. Sakai,et al.  Gamow-Teller unit cross sections of the (p,n) reaction at 198 and 297 MeV on medium-heavy nuclei , 2009 .

[13]  J. Meng,et al.  Spin-isospin resonances: a self-consistent covariant description. , 2008, Physical review letters.

[14]  H. Sakai,et al.  Spin–isospin responses via (p,n) and (n,p) reactions , 2006 .

[15]  M. Fallot,et al.  Evidence for pygmy and giant dipole resonances in 130Sn and 132Sn. , 2005, Physical review letters.

[16]  M. Ichimura,et al.  Unified analysis of spin isospin responses of nuclei , 2004, nucl-ex/0411055.

[17]  T. Suzuki,et al.  The Gamow-Teller resonance in finite nuclei in the relativistic random phase approximation , 2003, nucl-th/0308021.

[18]  A. H. Wapstra,et al.  The Nubase evaluation of nuclear and decay properties , 2003 .

[19]  G. Martínez-Pinedo,et al.  Nuclear weak-interaction processes in stars , 2002, nucl-th/0203071.

[20]  A. Dell'Acqua,et al.  Geant4 - A simulation toolkit , 2003 .

[21]  A. Woude,et al.  Giant Resonances: Fundamental High-Frequency Modes of Nuclear Excitation , 2001 .

[22]  M. Ichimura,et al.  Distorted wave impulse approximation analysis for spin observables in nucleon quasielastic scattering and enhancement of the spin longitudinal response , 2000, nucl-th/0008012.

[23]  H. Klapdor-kleingrothaus.  Sixty Years of Double Beta Decay: From Nuclear Physics to Beyond Standard Model , 2001 .

[24]  V. Pandharipande,et al.  Spin-isospin structure and pion condensation in nucleon matter , 1997, nucl-th/9705013.

[25]  Davis,et al.  Fragmentation and splitting of Gamow-Teller resonances in Sn(3He,t)Sb charge-exchange reactions, A=112-124. , 1995, Physical review. C, Nuclear physics.

[26]  Clark,et al.  Global Dirac phenomenology for proton-nucleus elastic scattering. , 1993, Physical review. C, Nuclear physics.

[27]  F. Osterfeld.  Nuclear spin and isospin excitations , 1992 .

[28]  Zhu Yizhong,et al.  Neutron relativistic phenomenological and microscopic optical potential. , 1991 .

[29]  Clark,et al.  Global Dirac optical potentials for elastic proton scattering from heavy nuclei. , 1990, Physical review. C, Nuclear physics.

[30]  E. Sugarbaker,et al.  The (p, n) reaction as a probe of beta decay strength , 1987 .

[31]  Love,et al.  Nucleon-nucleon t-matrix interaction for scattering at intermediate energies. , 1985, Physical review. C, Nuclear physics.

[32]  C. Gaarde.  Gamow-Teller and M1 resonances , 1983 .

[33]  K. Nakayama,et al.  On the energetics of the Gamow-Teller resonances , 1982 .

[34]  Toshio Suzuki.  The giant Gamow-Teller resonance states , 1982 .

[35]  J. Meyer-ter-Vehn.  Unnatural parity states in nuclei and pion condensation , 1981 .

[36]  M. Greenfield,et al.  Gamow-Teller matrix elements from 0/sup 0/ ( p,n) cross section , 1980 .

[37]  M. Greenfield,et al.  Observation of Giant Particle-Hole Resonances in 90-Zr(p,n)90-Nb , 1980 .

[38]  A. Migdal.  Pion Fields in Nuclear Matter , 1978 .

[39]  D. M. Patterson,et al.  Observation of giant Gamow-Teller strength in (p,n) reactions , 1975 .

[40]  J. Fujita,et al.  THE (p,n) REACTIONS AND BETA DECAYS , 1963 .