About Us
Research Divisions
Faculty Profiles
M.Tech (SSEM)
M.Tech (Photonics)
Physics Association
Departmental Faculty Search Committee
List of students doing Project outside IIT-R
International Meeting on Energy Storage Devices (IMESD-2018) during 10-12 December, 2018
B Tech Engg Physics students IIT Roorkee exhibiting their activities in the Lab
Praveen Chandra Srivastava
Praveen C Srivastava Assistant Professor pcsrifph[at] +91-1332 285598 Website
Areas of Interest
  • Theoretical Nuclear Physics, Nuclear Models, Modern large-scale shell model calculations
  • Ab-initio Many-Body Theories, Structure of Exotic Nuclei, Three body forces
  • No Core shell model, No Core Shell Model with Core
  • In-medium similarity renormalization group (IM-SRG), and the coupled-cluster effective interaction (CCEI).
  • Beta decay, Gamow-Teller transitions, Double and neutrinoless double-beta decay, Forbidden beta decay, Electron capture rates, Dark Matter.
Professional Background
2012on goingAssistant ProfessorIndian Institute of Technology, Roorkee, India
20112012Post Doctoral FellowInstituto de Ciencias Nucleares - UNAM, Mexico
20092011Post Doctoral FellowPhysical Research Laboratory, Ahmedabad
20082009Visiting FellowGrand Accélérateur National d'Ions Lourds — GANIL, France
Educational Details
Ph.D.Nuclear PhysicsUniversity of Allahabad (Part of thesis work @GANIL, France : Indo-French Sandwich PhD Programme)2010
Administrative Background
2017till dateMemeberDAPC
2016till dateMember Department Administrative Committee
2017till dateOC Time TablePhysics Department
20172018ConvenerReports & Website Committee
2018till dateDeputy O.C. at Properties of Matter ( Int. M.Sc. lab)Physics Department
20142016O.C.Properties of Matter ( Int. M.Sc. lab)
Spring20142015Examination SuperintendentPhysics Dept.
20142016MemberDepartment Research Committee
20132014Faculty AdvisorPhysics Association
Sponsored Research Projects
TopicFunding AgencyYear
To study nuclear structure properties with high-end computational facilitySRIC, IIT-R2013
  • Indian Physics Association, Life Member
  • FRIB, Member
  • Materials Research Society of India, Life Member
Teaching Engagements
TitleCourse CodeClass NameSemester
Quantum PhysicsPHN-211 B.Tech (Engg. Physics) & Int. M.Sc. (Physics)-2018Autumn
Numerical Analysis and ProgrammingPHN-701M.Tech. (SSEM+Photonics)-2018Autumn
Mechanics and RelativityPHN-104B.Tech (Engg. Physics) & Int. M.Sc. (Physics)- 2018Spring
Physics-IIPH-002PB.Tech. (Preparatory Course)-2018Spring
Advanced Nuclear physicsPHN-607M.Sc. (Physics) - 2017Autumn
Quantum Mechanics and Statistical MechanicsPHN-006B.Tech. (Electronics and Communication Engineering)-2017Spring
Advanced Nuclear physicsPHN-607M.Sc. (Physics)-2016Autumn
Quantum Mechanics and Statistical MechanicsPHN-006B.Tech. (Electronics and Communication Engineering)-2016Spring
Nuclear Physics and its ApplicationsPH-308 Int. M.Sc (Physics) - 2015Spring
Electromagnetic TheoryPHN-003B.Tech (Electrical Engineering)-2015 Autumn
MechanicsPH-001B.Tech (Mechanical and Industrial Engineering)-2014Autumn
Nuclear Physics and its ApplicationsPH-308Int. M.Sc. (Physics)- 2014Spring
Physics-IIPH-002PB.Tech. (Preparatory Course)Spring
Nuclear PhysicsPH-786PhDSpring
MechanicsPH-001B.Tech (Civil)-2013Autumn
PhysicsPH-101B.Tech (Electrical Engineering)-2013Spring
Projects and Thesis Supervised
Title of ProjectNames of Students
Realistic effective interaction for fpg9/2d5/2 space Sucheta Majumdar
Shell model study of 135LaRishabh Mehta
Gamow-Teller strengths for fp shell nucleiPrabhakar
Spectroscopic factor calculation for neutron rich nuclei in the A=18-48 regionRitu Raj Verma
Gamow-Teller strenghts and electron-capture ratesShalini Kumpati
To develop NN+NNN effective interactionsGarima Sharma
Shell model study for quadrupole and magnetic moments for Mg and Al isotopesPankaj
Splitting of effective interaction in central, spin-orbit and tensor partHemant Kumar
Extrinsic and Intrinsic CP violation in neutrino oscillationAman Gupta
PHDs Supervised
TopicScholar NameStatus of PHDRegistration Year
Nuclei towards drip-line : A shell model study (Asstt. Professor @ Central Univ. Srinagar)Vikas Kumar A2012
Role of Isospin in Heavy and Neutron-Rich Nuclei (other supervisor Prof. A.K. Jain)Swati GargO2013
Ab initio no core shell model study for lighter nucleiArchana SaxenaO2014
Shell Model Studies for Single, Double and Neutrinoless Double Beta DecaysAnil KumarO2016
Nuclear Structure Study in the Medium Mass Region from NN + NNN interactionsBharati BhoyO2017
Beta Decay Study with Chiral three-body forceRicha SharmaO2018
Ab Initio Study of Beta Decay PropertiesPriyanka ChowdharyO2018
Visits to outside institutions
Institute VisitedPurpose of VisitDate
TRIUMF, Vancouver, BC- CanadaResearch collaborative work with Prof. Petr Navrátil on No Core Shell Model June-2018
Nihon University, Tokyo.Research collaborative work with Prof. Toshio Suzuki on Gamow Teller Strengths and electron capture rates.June-2017
Saitama University, Saitama, Japan Research Collaborative work on shell model with Prof. N. Yoshinaga.Jun.Jul.17
TRIUMF, Vancouver, BC- CanadaResearch collaborative work with Prof. Petr Navrátil on No Core Shell Model.Jun.Jul.16
Mathematical Physics, LIT, Lund University, SwedenResearch collaborative work with Prof. Sven Åberg on N=Z nuclei.May-Jun.15
Department of Physics, Jyväskylä University, FinlandResearch collaborative work with Prof. Jouni Suhonen on Beta decay.May-Jun.14
Series of lectures (14) on Computational Nuclear Physics in the school organized by SINP-VECCSINP-VECCI2018
Thesis ExaminerSINPI2018
Shell Model Effective interactionsDST-SERC School -2015I2015
SERC- 2016, Series of lectures on Shell-ModelKashmir University, SrinagarI2016
Large scale shell model calculations and its interpretations for recent INGA resultsTIFR, MumbaiI2013
Invited talk in FIG-2018 on Ab initio calculations for nuclear observablesTIFRI2018
Large scale shell model calculations with high performance computing facilityIUAC, New-DelhiI2013
Series of lectures on Ab initio calculations SERC- 2017 to Bharathiar University, CoimbatoreT2017
DST-SERC School -2014 : series of lectures on large-scale shell modelTIFR, MumbaiI2014
Excitation across Z=28 gap for heavy As isotopesECNMP-2014 at Jammu UniversityI2014
Nuclear Structure of neutron-rich nuclei towards N=50SCRIBE - 2014 at VECC- Kolkata I2014
National International Collaboration
Study on forbidden beta decayUniversity of Jyväskylä, FinlandRP
Isoscalar np pairingLund University, SwedenRP
Nuclear structure study for Zr and Nb isotopesTIFR, MumbaiRP
Nuclear structure study on different region of nuclear chartICN-UNAM, MexicoRP
Nuclear Structure Study for Nuclei A~120Saitama University, JapanRP
Neutrinoless double beta decayPRL-Ahmedabad RP
Ab initio CalculationsTRIUMF, CanadaRP
Bohr HamiltonianInstitute of Nuclear Physics, UzbakistanRP
Nuclear Structure StudyGANIL, FranceRP
Nuclear structure study on 136Cs IPN-Orsay, FranceRP
Refereed Journal Papers
70.    Levels structure above the 17+ isomeric state in 152Tm
B. S. Nara Singh, D. M. Cullen, M. J. Taylor, P. C. Srivastava, P. Van Isacker, et al.
Phys. Rev. C 98, 024319 (2018)
69.    Different seniority states of 119-126Sn isotopes: shell model description
          P.C. Srivatava, M.J. Ermamatov, N. Yoshinaga and K. Yanase      -August 2018
68.   First detection of the 2+ > 0+ ground-state transition in the beta decay of 20F
          O.S. Kirsebom et al., P.C. Srivatava     
 -May 2018
67.   Ab initio calculations for Gamow-Teller strenghts in the sd shell   
          Archana Saxena, P.C. Srivastava and T. Suzuki     
Phys. Rev. C 97, 024310 (2018)
66.   Estimating the flux of the 14.4 keV solar axions    
          F.T. Avignone III, R.J. Creswick, J.D. Vergados, P. Pirinen, P.C. Srivastava and J. Suhonen      
         Journal of Cosmology and Astroparticle Physics, 01, 021 (2018)
65.   Shell model results for T=1 and T=0 bands in 66As    
          P.C. Srivastava, R.Sahu and V.K.B. Kota       
          J. Physics G: Nuclear and Particle Physics  44, 125107 (2017)
64.   First principles results for electromagnetic properties of sd shell nuclei
          Archana Saxena and P.C. Srivastava       
         Phys. Rev. C 96, 024316 (2017)
63.   Triaxial rotation-axis flip triggered by an isoscalar np pair
          P.C. Srivastava , S. Aberg and I. Ragnarsson         
         Phys. Rev. C 95, 0111303 (Rapid Communications) (2017) 
62.    High-spin structures of the near-spherical nuclei 91,92Zr  
          P.C. Srivastava      
         Acta Physica Polonica B 48,  807 (2017) 
61.     35,37,39S isotopes in sd-pf space : Shell-model interpretation
          Archana Saxena, P.C. Srivastava, J.G. Hirsch, V.K.B. Kota and M.J. Ermamatov
           Nuclear Physics A 961, 68-77 (2017)
60.     High spin states in 133Cs and the shell model description
           S. Biswas, R. Palit et al (P.C. Srivastava)
            Phys.Rev. C 95, 064320 (2017)  
59.   Beta decay studies of protons rich nuclei, an important ingredient for rp-process calculations
           B. Rubio  et al (P.C. Srivastava)
           Japan Physical Society Conf. Proc.14, 010510 (2017)
58.   Half-life determination of Tz=-1 and Tz=-1/2 proton-rich nuclei and the beta decay of 58Zn
         L. Kucuk et al (P.C. Srivastava)
        Eur. Phys. J. A: Hadrons and Nuclei 53, 134 (2017)
57.  Identification of levels above 6- isomeric state in 66Cu
        P.Singh, R. Palit, D. Choudhury, P.C. Srivastava, S. Biswas, S. Saha,  and J. Sethi 
         Eur. Phys. J. A: Hadrons and Nuclei 53, 69 (2017)
56.   Spectroscopic factor strenghts using ab initio  approaches
          P.C. Srivastava and  V. Kumar
          Phys.Rev. C 94, 064306 (2016)    
55.   High-spin structure of 87Sr and 87Zr nuclei: shell model interpretation
           P. C. Srivastava, Vikas Kumar and    M. J. Ermamatov
          Acta Physica Polonica B 47, 2151 (2016) 
54.      Nuclear $\beta^-$-decay half-lives for $fp$ and $fpg$ shell nuclei
          Vikas kumar, P.C. Srivastava and Hantao Li
          J. Phys. G: Nuclear and Particle Physics 43, 105104 (2016) 
 53.   Inelastic WIMP-nucleus scattering to the first excited state in 125Te
          J.D. Vergados, F.T. Avignone III, M. Kortelainen, P. Pirinen, P. C. Srivastava, J. Suhonen and A.W. Thomas      
         J. Phys. G: Nuclear and Particle Physics 43, 115002 (2016)
 52.   Shell model description of Gamow-Teller strenghts in pf-shell nuclei
        Vikas kumar and  P.C. Srivastava     
         Eur. Phys. J. A : Hadrons and Nuclei 52, 181 (2016)
 51.  Forbidden non-unique beta decays and effective values of weak coupling constants
        M. Haaranen,  P.C. Srivastava, J. Suhonen
          Phys. Rev. C 93, 034308 (2016)
 50.  Shell-model study on event rates of lightest supersymmetric particles scattering off 83Kr and 125Te
          P. Pirinen, P. C. Srivastava, J. Suhonen and M. Kortelainen
            Phys. Rev. D 93, 095012 (2016)
 49.   Single and double beta-decay Q values among the triplet 96Zr, 96Nb and 96Mo
          M. Alanssari, D. Frekers, T. Eronen, L. Canete, J. Dilling, M. Haaranen, J. Hakala, M. Holl, Ješkovský, A. Jokinen, A.  Kankainen,  J. Koponen, A. J. Mayer, I. D. Moore, D. A. Nesterenko, I. Pohjalainen, P. Povinec, J. Reinikainen, S. Rinta-Antila, P. C. Srivastava, J. Suhonen,  R. I. Thompson, A. Voss, and M. E. Wieser
          Phys. Rev. Lett. 116, 072501 (2016)
 48.   Polarization Measurements and High-Spin States in 86Sr
     N. Kumar, S. Kumar, V. Kumar, S.K. Mandal, R. Palit, S. Saha, J. Sethi, T. Trivedi, S.C. Pancholi and P.C. Srivastava
         Nuclear Physics A 955, 1-15 (2016)
 47.    Structure of  132Te :  The two-particle and two-hole spectrum of 132Sn
             P.C. Srivastava in (S. Biswas, R. Palit  et al., )
             Phys. Rev. C 93, 034324 (2016)
 46.  Bohr Hamiltonian with different mass parameters applied to band structure of Eu isotopes built on Nilsson orbitals
            M. J. Ermamatov, H. Yepez - Martinez and P.C. Srivastava
               Pramana Journal of Physics 86, 1055 (2016)
 45.   Second 0+ state of unbound 12O : Scaling of mirror asymmetry
               D. Suzuki, H. Iwasaki  et al., P.C. Srivastava
               Phys. Rev. C 93, 024316 (2016) 
 44.      Shell model and deformed shell model spectroscopy of 62Ga
             P.C. Srivastava, R. Sahu and V.K.B. Kota
            Eur. Phys. J. A : Hadrons and Nuclei, 51 (2015) 3
 43.     Analysis of proton and neutron pair breakings: High-spin structures of 124-127Te isotopes
            Vikas Kumar, P.C. Srivastava, M.J. Ermamatov  and I. O. Morales
             Nuclear Physics  A 942, 1-17 (2015)
 42.     Theoretical direct WIMP detection rates for transitions to the first excited state in 83Kr
             J.D. Vergados, F.T. Avignone III, P. Pirinen, P. C. Srivastava, M. Kortelainen and J. Suhonen
             Phys. Rev. D  92, 015015 (2015)
41.      6+ isomers in neutron-rich Sn isotopes beyond N=82 and effective interactions
             B. Maheshwari, A.K. Jain and P.C. Srivastava
              Phys. Rev. C 91, 024321 (2015) 
 40.      High-spin structures of 77,79,81,83As isotopes
            Vikas Kumar, P.C. Srivastava and I. O. Morales
            Modern Physics Letters A 27 , 1250061 (2012)  Link
 39.    Rotation-vibration excited states of odd Ta isotopes built on g7/2 orbital
              M.J. Ermamatov , H.Yepez-Martinez,   P.C. Srivastava
              Nuclear Theory, Vol. 33 (2014) 45 -52  [eds. A.I. Georgieva, N. Minkov, Heron Press, Sofia] Link
 38.      Beta-decay half-life of 50V calculated by the shell model
               M. Haaranen,  P.C. Srivastava, J. Suhonen and K. Zuber
               Phys. Rev. C 90,  044314  (2014)   Link
  37.      High-spin structures of  86,87,88,89Y isotopes
           P.C. Srivastava, Vikas Kumar and M.J. Ermamatov
            Phys. At. Nucl. 77,  1334  (2014)   Link
 36.      High-spin band structure of  85Sr
              S. Kumar, N. Kumar, S. Mandal, S.C. Pancholi, P.C. Srivastava, A.K. Jain, R. Palit et al.,
             Phys. Rev. C 90,  024315  (2014) Link
 35.     Yrast structure of the shell model nucleus 89Nb
           P. Singh, R. Palit, S. Saha, J. Sethi, S. Biswas,  D. Choudhury, P.C. Srivastava and T. Trivedi
           Phys. Rev. C 90,  014306  (2014)   Link 
34.    Investigation of high spin structure of 88Zr
            S. Saha, R. Palit, J. Sethi, S. Biswas, P. Singh, T. Trivedi, D. Choudhury and P.C. Srivastava
            Phys. Rev. C 89,  044315  (2014)  Link 
 33.    Beta decay study of the Tz= -2 56Zn nucleus and the determination of the half-lives of a few fp-shell nuclei
         P.C. Srivastava in B. Rubio et al.,
           Nuclear Data Sheets 120, 37 (2014)  Link
 32.   Structure of odd  79,81,83Se isotopes with proton and neutron excitations across Z=28 and N = 40
        Vikas Kumar and P.C. Srivastava,
          Int. J. Mod. Phys. E 22 , 1350091 (2013)  Link
 31.   High-spin structures of 136Xe, 137Cs, 138Ba, 139La and 140Ce:  a shell model description
             P.C. Srivastava, M.J. Ermamatov and I.O. Morales
           J. Phys. G: Nuclear and Particle Physics 40, 035106 (2013)  Link
 30.    Deformed shell model results for neutrinoless positron double beta decay of nuclei in A= 60-90 region
            R. Sahu, P.C. Srivastava and V.K.B. Kota
            J. Phys. G: Nuclear and Particle Physics 40, 095107 (2013) Link
 29.   High-spin structures of 136Cs
    A. Astier,M.-G. Porquet,G. Ducheˆne, F. Azaiez, D. Curien,  I. Deloncle, O. Dorvaux,  B.J.P. Gall,  M. Houry, R. Lucas, P.C. Srivastava,  N.Redon, M. Rousseau, O.Ste'zowski and  Ch. Theisen
     Phys. Rev. C 87,  054316 (2013)   Link
 28.   Comparison of shell model results for even-even Se isotopes
        P.C. Srivastava and M.J. Ermamatov
           Physica Scripta 88, 045201 (2013)  Link
27.    Structure of odd Ge isotopes with 40 < N < 50
         P.C. Srivastava and M.J. Ermamatov
           Phys. At. Nucl. 76,  692-701 (2013)  Link 
 26.   Structure of 71−78 Ga isotopes in f5/2pg9/2  and fpg9/2  spaces
        P.C. Srivastava
          J. Phys. G: Nuclear and Particle Physics 39 , 015102 (2012)  Link
 25.   Nuclear structure study with core excitations in Ni region: for fpg9/2  space
        P.C. Srivastava
         Modern Physics Letters A 27 , 1250061 (2012)  Link
24.   Shell model description of Ge isotopes
        Jorge G. Hirsch and P.C. Srivastava
         Journal of Physics: Conference Series 387 , 012020 (2012)   Link 
 23.  Coriolis contribution to the excited states of deformed  163Dy and 173Yb nuclei with different mas parameters
         M. J. Ermamatov, P.C. Srivastava , P. R. Fraser, P. Str´ansk´y, and I.O. Morales
         Phys. Rev. C 85 , 044300 (2012)  Link
22.  Experimental investigation of shell model excitations of 89Zr up to high spin
       S. Saha, R. Palit, J. Sethi, T. Trivedi, P.C. Srivastava , S. Kumar, B.S. Naidu,
       R. Donthi, S. Jadhav, D.C. Biswas, U. Garg, A. Goswami, H.C. Jain, P.K. Joshi,
       G. Mukherjee, Z. Naik, S. Nag, V. Nanal, R.G. Pillay, S. Saha, and A.K. Singh
      Phys. Rev. C 86 , 034315 (2012)  Link 
21.  Ground state, beta  and K  = 11/ 2−   bands in 163,165Er
      M. J. Ermamatov, P.C. Srivastava , P. R. Fraser and P. Str´ansk´y
      Eur. Phys. J. A : Hadrons and Nuclei 48 , 123 (2012)  Link 
 20.  Nuclear structure study around Z  = 28
       P.C. Srivastava  and I. Mehrotra
        Int. J. Mod. Phys. E 21 , 1250007 (2012)  Link
 19.  Large scale shell model calculations for 32-39P isotopes
       P.C. Srivastava , J. G. Hirsch, M.J. Ermamatov and V.K.B. Kota
         AIP Conf. Proc. 1488 ,431-435 (2012)   Link
 18.  Two Proton Radioactivity Studies with a Time Projection Chamber
        P. Ascher et al., (P. Srivastava)
        Acta Phys. Pol. B 43 , 261-266 (2012)  Link
 17.   Shell model description of 102-108Sn isotopes
       T. Trivedi, P.C. Srivastava , D. Negi and I. Mehrotra
          Int. J. Mod. Phys. E 21 , 1250049 (2012)  Link
 16.   Two-proton radioactivity as a tool for nuclear structure
        B. Blank, et al., (P.C. Srivastava)
         Nuclear Stucture Problems, World Scientific Conf. Proc., Singapore 130-135 (2012)  Link
15.  Direct observation of two protons in the decay of 54Zn
       P. Ascher, L. Audirac, N. Adimi, B. Blank, C. Borcea, B.A. Brown, I. Companis,
       F. Delalee, C. Demonchy, F. de Oliveira Santos, J. Giovinazzo, S. Gr´evy,
       L.V. Grigorenko, T. Kurtukian - Nieto, S. Leblanc, J.-L. Pedroza, L. Perrot,
       J. Pibernat, L. Serani, P.C. Srivastava  and J.- C. Thomas
         Phys. Rev. Lett. 107 , 102502 (2011)  Link 
 14.  2p radioactivity studies with a TPC
       P. Ascher  et al., (P. Srivastava)  
       AIP Conf. Proc. 1409 , 77-82 (2011)  Link
 13.  Experimental studies of an exotic decay modes at the proton drip - line : the two proton radioactivity
         L. Audirac et al., (P. Srivastava)
          AIP Conf. Proc. 1377, 56 - 60 (2011)  Link
 12.  Identification of the slow E3 transition 136mCs  to 136Cs with conversion electrons
         K. Wimmer, U. K¨oster, P. Hoff, Th. Kr¨oll, R. Kr¨ucken, R. Lutter, H. Mach, Th. Morgan,
         S. Sarkar, M. Saha Sarkar, W. Schwerdtfeger, P.C. Srivastava , P.G. Thirolf, and P. Van Isacker
         Phys. Rev. C 84 , 014329 (2011)  Link 
11.  One plus two-body random matrix ensembles with parity: Density of states  and parity ratios
       Manan Vyas, V.K.B. Kota and P.C. Srivastava
        Phys. Rev. C 83 , 064301 (2011)  Link
 10.  Beta-delayed emission of protons at the proton drip- line : the cases of 43Cr and 51N
       L. Audirac et al., (P. Srivastava)
       AIP Conf. Proc. 1409 , 193-196 (2011)   Link
 9.  Shell model results in fp  and fpg9/2  spaces for 61,63,65Co isotopes
      P.C. Srivastava and V.K.B. Kota
      Phys. At. Nucl. 74 , 971 (2011)  Link
 8.   Monopole shift in neutron rich F isotopes: a shell model description
       P.C. Srivastava and I. Mehrotra
       Int. J. Mod. Phys. E 20 , 637 (2011)  Link
7.  Deformed shell model results for two neutrino double beta decay of 82Se
     R. Sahu, P.C. Srivastava , and V.K.B. kota
     Cand. J. Phys. 89 , 1175 (2011)  Link 
6.  Large scale shell model calculations for odd-odd 58-62Mn isotopes
     P.C. Srivastava and I. Mehrotra
      Eur. Phys. J. A : Hadrons and Nuclei 45 , 185 (2010)  Link 
5.  Large scale shell model calculations for even-odd 61-65Fe isotopes
    P.C. Srivastava  and I. Mehrotra
    Phys. At. Nucl. 73 , 1656 (2010)  Link 
 4.  Nuclear weak response from the combined study of  beta-decay and charge-exchange reaction
    Y. Fujita et al., (P.C. Srivastava)
    Int. J. Mod. Phys. E 18 , 2134 (2009)  Link
  3.   Shell model study around N  = 16 shell closure
    P.C. Srivastava  and I. Mehrotra
    AIP Conf. Proc. 1109 , 108 (2009) Link
 2.  Large scale shell model calculations for even-even 62-66Fe isotopes
     P.C. Srivastava  and I. Mehrotra
      J. Phys. G: Nuclear and Particle Physics 36 , 105106 (2009)  Link
 1.   Parity inversion and different properties of 11Be halo nuclei
     P.C. Srivastava , and I. Mehrotra
      AIP Conf. Proc. 912 , 127 (2007)  Link