Code Assignment for Deduction of Radius Parameter (r0) in Odd-A and Odd-Odd Nuclei

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This code assignment focuses on deducing the radius parameter (r0) for Odd-A and Odd-Odd nuclei by utilizing even-even radii data from 1998Ak04 input. Developed by Sukhjeet Singh and Balraj Singh, the code utilizes a specific deduction procedure to calculate radius parameters for nuclei falling within a specified range. The purpose of the code is to facilitate calculations related to alpha hindrance factors and improve analysis codes for NSDD.


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  1. RadD A source code for the deduction of Radius Parameter (r0) for odd-A and odd-odd Nuclei Sukhjeet Singh and Sushil Kumar Maharishi Markandeshwar University Mullana, Haryana, India Balraj Singh McMaster University, Canada

  2. Outline CodeAssignmentanditspurpose Inputdataanddeductionprocedure DifferentversionofSourceCode Typicalconsoloutput CompatibilityIssues Futureplans

  3. Code Assignment The development of this code was assigned to Sukhjeet Singh (Maharishi Markandeshwar University, Mullana-India) and Balraj Singh (McMaster University, Canada) at the 1st Technical Meeting on Improvement of Analysis Codes for NSDD ) held at IAEA during June 11-13, 2014 Purpose This code RadD deduces the radius parameter (r0) for Odd-Odd and Odd-A nuclei using the even-even radii of Y.A. Akovali [Nuclear Data Sheets, 84 (1998) 1], as input parameters. These radii can be used in the calculation of alpha hindrance factors.

  4. Input data-1998Ak04 In 1998Ak04 there are total 154 even-even nuclei ( 80 Z 102, 96 N 156) for which radius parameter (ro) is calculated and these are : (a) Radii of 144 even-even nuclides with symmetric uncertainties from calculations using Preston s formula [2], (b) Radii of 07 even-even nuclides from systematics with appropriate uncertainties (radii given in parentheses in ref. [1]), (c) Radii of 02 even-even nuclides with asymmetric uncertainties from Preston s formula [2] , (d) Radius for 01 even-even nuclide (alpha daughter Z=74, N=92) from systematics given without uncertainty. Special Care has been exercised when above two (b-c) types of radii of even-even nuclei are encountered as one of the input parameters in the present calculations and an appropriate warning message will be displayed during the execution of the program For asymmetric uncertainties, the large value is considered The nuclide Z=74, N=92 having no. uncertainty listed in 1998AK04 is not considered in main input file (98Ak04.dat) of this code

  5. Deduction procedure : Ref. M.J. Martin, Calculation of radius parameter (r0) for Odd-A and Odd-Odd nuclides (2007). + + ( 1, ) ( 1, ) r Z N r Z N Odd-Z and Even-N nuclei = ( , ) r Z N 0 0 0 2 + + ( , 1) ( , 1) r Z N r Z N Even-Z and Odd-N nuclei = ( , ) r Z N 0 0 0 2 Method 1: Using unweighted average of neighboring Odd-Even radii Odd-Z and Odd-N nuclei Method 2: Using unweighted average of neighboring Even-Odd radii With even even radius parameters presented in 1998Ak04 and above listed procedure, it is possible to deduce radius parameter for Odd-Odd and Odd-A nuclei lying in the range of 52 Z 100 and 55 N 152.

  6. First version of RadD -Available with us only! With first version of this code, we generated 3 tables of radius parameters for Odd-Even, Even-Odd and Odd-Odd nuclei. (available at IAEA website) Table 1 Deduced r0 for 68 Odd-Z and Even-N nuclei 61 Z 99 84 N 152 Table 2 Deduced r0 for 80 Even-Z and Odd-N nuclei 52 Z 100 55 N 151 Table 3 Deduced r0 for 47 Odd-Z and Odd-N nuclei 63 Z 99 85 N 149

  7. Second version of RadD- Available at IAEA website The 2nd version of this code deduces the radius parameter for a given nuclide and console output is: RadD.For Compiler gfortran or G77 User 98AK04.IN ELE.IN Terminal Consol Output

  8. Compatibility Operating Systems LINUX MAC WINDOWS 64bit 32bit 64bit 32bit RadD.for is working successfully on all the operating systems

  9. Even-Odd Odd-Odd Deduced ro parameter exhibits minima either at major shell closure (at N=126 for odd-even nuclei) or near the vicinity of major close shell (at N=125 for odd-odd and even-odd nuclei) Same as the case for even-even nuclei Odd-Even

  10. FUTURE PLAN 1. Since 1998AK04 is 17 years old compilation and many new data and available for eve-even nuclei. So search on ENSDF and XUNDL files will be made to compile the ro values and that new ro values will be used to update the recently generated tables of ro parameter for odd-odd, odd-A nuclei. (Suggestion by F.Kondev, email: March12, 2015) 2. Updation of 1998AK04: it is a big assignment and is being continued.

  11. Acknowledgement Dr. Paraskevi Dimitriou (IAEA) for kind support in successful execution of IAEA CRP at M.M. University Mullana, India Dr. B. Singh, (McMaster University, Canada) sparing his time during my McMaster visit in June- 2014 and also for his regular support through prompt replies to my questions Prof. A.K. Jain, (IIT Roorkee, India), Dr. Tuli for their help to strengthen the evaluation activities at M.M. University Mullana. Dr. F. Kondev,ANL, for his useful comments and suggestions for this code. (Will be discussed during workshop session) The Chancellor Office, M.M. University Mullana for administrative approval to participate in the present IAEA meeting

  12. THANKS

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