Abstract
A simple form for nucleon–nucleon (NN) potential is introduced as an alternative to the popular M3Y form using the relativistic mean field theory (RMFT) with the non-linear terms in σ-meson for the first time. In contrast to the M3Y form, the new interaction becomes exactly zero at a finite distance and the expressions are analogous with the M3Y terms. Further, its applicability is examined by the study of proton and cluster radioactivity by folding it with the RMFT-densities of the cluster and daughter nuclei to obtain the optical potential in the region of proton-rich nuclides just above the double magic core100Sn. The results obtained were found comparable with the widely used M3Y NN interactions.
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References
G R Satchler and W G Love, Phys. Rep. 55, 183 (1979)
L J B Goldfarb and Y K Gambhir, Nucl. Phys. A 401, 557 (1983)
Krishichayan, X Chen, Y-W Lui, Y Tokimoto, J Button and D H Youngblood, Phys. Rev. C 81, 014603 (2010)
B B Singh, S K Patra and R K Gupta, Phys. Rev. C 82, 014607 (2010)
W G Love and G R Satchler, Nucl. Phys. A 159, 1 (1970)
W G Love and L J Parish, Nucl. Phys. A 157, 625 (1970) W G Love, Nucl. Phys. A 192, 49 (1972)
B B Singh, M Bhuyan, S K Patra and R K Gupta, J. Phys. G: Nucl. Part. Phys. 39, 025101 (2012)
L D Miller and A E S Green, Phys. Rev. C 5, 241 (1972)
J D Walecka, Ann. Phys. (NY) 83, 491 (1974)
J P Blaizot, Phys. Rep. 64, 171 (1980)
C J Horowitz and B D Serot, Nucl. Phys. A 368, 503 (1981)
J Boguta and A R Bodmer, Nucl. Phys. A 292, 413 (1977)
P-G Reinhard, M Rufa, J Maruhn, W Greiner and J Friedrich, Z. Phys. A 323, 13 (1986)
W Pannert, P Ring and J Boguta, Phys. Rev. Lett. 59, 2420 (1987)
A R Bodmer, Nucl. Phys. A 526, 703 (1991)
S Gmuca, Nucl. Phys. A 547, 447 (1992)
Y Sugahara and H Toki, Nucl. Phys. A 579, 557 (1994)
B D Serot and J D Walecka, Adv. Nucl. Phys. 16, 1 (1986)
R Brockmann, Phys. Rev. C 18, 1510 (1978)
R Finkelstein, R LeLevier and M Ruderman, Phys. Rev. 83, 326 (1951)
L I Schiff, Phys. Rev. 80, 137 (1950); Phys. Rev. 83, 252 (1951)
L I Schiff, Phys. Rev. 84, 1 (1950)
R Brockmann and R Machleidt, Phys. Rev. C 42, 1965 (1990)
R Brockmann and W Weise, Phys. Rev. C 16, 1282 (1977)
D T Khoa, W von Oertzen and H G Bohlen, Phys. Rev. C 49, 1652 (1994)
G A Lalazisis, J König and P Ring, Phys. Rev. C 55, 540 (1997)
P G Reinhard, Rep. Prog. Phys. 52, 439 (1989)
S K Patra and C R Praharaj, Phys. Rev. C 44, 2552 (1991)
S S Malik and R K Gupta, Phys. Rev. C 39, 1992 (1989)
R K Gupta and W Greiner, Int. J. Mod. Phys. E 3, 335 (1994)
G Audi, A H Wapstra and C Thiboult, Nucl. Phys. A 729, 337 (2003)
B B Sahu, S K Agarwalla and S K Patra, Phys. Rev. C 84, 054604 (2011)
B B Singh, B B Sahu and S K Patra, Phys. Rev. C 83, 064601 (2011)
Basudeb Sahu, G S Mallick, B B Sahu, S K Agarwalla, and C S Shastry, Phys. Rev. C 77, 024604 (2008)
M Balasubramaniam and N Arunachalam, Phys. Rev. C 71, 014603 (2005)
D N Basu, P Roy Chowdhury and C Samanta, Phys. Rev. C 72, 051601(R) (2005)
I Silisteanu, W Scheid and A Sandulescu, Nucl. Phys. A 679, 317 (2001)
I Silisteanu, Rev. Roumaine Phys. 28, 331 (1983)
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SAHU, B.B., SINGH, S.K., BHUYAN, M. et al. The effect of nonlinearity in relativistic nucleon–nucleon potential. Pramana - J Phys 82, 637–647 (2014). https://doi.org/10.1007/s12043-014-0712-y
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DOI: https://doi.org/10.1007/s12043-014-0712-y