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The calculation of weak interaction rates plays a very important role in studying nuclear physics and nuclear astrophysics. In this work, we calculate the electron capture rate of 66Fe in the framework of shell model. We mainly focus on the contribution of allowed transition and forbidden transition to the total rate. It is found that in some astrophysical environments the forbidden transition is very important in contribution to the electron capture rate, in which the non-unique forbidden transition plays a major role. This is very important for nuclear structures and astrophysics.
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Keywords:
- electron capture rate /
- allowed transition /
- forbidden transtion /
- astrophysical environment
[1] Bethe H A, Brown G E, Applegate J, Lattimer J M 1979 Nucl. Phys. A 324 487Google Scholar
[2] Bethe H A 1990 Rev. Mod. Phys 62 801Google Scholar
[3] Fuller G M, Fowler W A, Newman M J 1980 Astrophys. J. Suppl. Ser 42 447Google Scholar
[4] Fuller G M, Fowler W A, Newman M J 1982 Astrophys. J. Suppl. Ser 48 279Google Scholar
[5] Langanke K, Martinez-Pinedo G 2003 Rev. Mod. Phys. 75 819Google Scholar
[6] Janka H T, Langanke K, Marek A, Martinez-Pinedo G, Muller B 2007 Phys. Rep. 442 38Google Scholar
[7] Fuller G M, Fowler W A, Newman M J 1982 Astrophys. J. 252 715Google Scholar
[8] Caurier E, Langanke K, Martínez-Pinedo G, Nowacki F 1999 Nucl. Phys. A 653 439Google Scholar
[9] Langanke K, Martínez-Pinedo G 2000 Nucl. Phys. A 673 481Google Scholar
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Zhi Q, Zheng Q 2011 Acta. Phys. Sin. 60 102301Google Scholar
[13] 张绍庆, 谢娟, 张小平, 支启军 2016 Acta. Phys. Sin. 65 092101Google Scholar
Zhang S Q, Xie J, Zhang X P, Zhi Q J 2016 物理学报 65 092101Google Scholar
[14] You J L, Wu Q D, Zhang X P, Zhi Q 2019 Commun. Theor. Phys 71 293Google Scholar
[15] You J L, Zhang X P, Zhi Q J, Ren Z Z, Wu Q D 2019 Chin. Phys. C 43 114104Google Scholar
[16] Mukai M, Hirayama Y, Watanabe Y X, Watanabe H, Koura H, Jeong S C, Miyatake H, Brunet M, Ishizawa S, Kondev F G, Lane G J, Litvinov Y A, Niwase T, Oyaizu M, Podolyak Z, Rosenbusch M, Schury P, Wada M, Walker P M 2022 Phys. Rev. C 105 034331Google Scholar
[17] Zhi Q, Langanke K, Martinez-Pinedo G, Nowacki F, Sieja K 2011 Nucl. Phys. A 859 172Google Scholar
[18] Stryjczyk M, Tsunoda Y, Darby I G, Witte H D, Diriken J, Fedorov D V, Fedosseev V N, Fraile L M, Huyse M, Köster U, Marsh B A, Otsuka T, Pauwels D, Popescu L, Radulov D, Seliverstov M D, Sjödin A M, P. Van den Bergh, Van Duppen P, Venhart M, Walters W B, Wimmer K 2018 Phys. Rev. C 98 064326Google Scholar
[19] Qi C and Xu F. R 2008 Nucl. Phys. A 800 47Google Scholar
[20] Qi C and Xu F. R 2008 Nucl. Phys. A 814 48Google Scholar
[21] 支启军 2011 物理学报 60 052101Google Scholar
Zhi Q J 2011 Acta. Phys. Sin. 60 052101Google Scholar
[22] Caurier E, Martinez-pinedo G, Nowacki F, Poves A, Zuker A P 2005 Rev. Mod. Phys 77 427Google Scholar
[23] 张玉美、许甫荣 2008 物理学报 57 4826Google Scholar
Zhang Y M, Xu F R 2008 Acta. Phys. Sin. 57 4826Google Scholar
[24] Zhi Q, Caurier E, Cuenca-Garcia J J, Langanke K, Martinez-Pinedo G, Sieja K 2013 Phys. Rev. C 87 025803Google Scholar
[25] Toshio S, Takashi Y, Toshitaka K, Takaharu O 2012 Phys. Rev. C 85 015802Google Scholar
[26] Sorlin O, Leenhardt S, Donzaud C, Duprat J, Azaiez F, Nowacki F, Grawe H, Dombrádi Z, Amorini F, Astier A, Baiborodin D, Belleguic M, Borcea C, Bourgeois C, Cullen D M, Dlouhy Z, Dragulescu E, Górska M, Grévy S, Guillemaud-Mueller D, Hagemann G, Herskind B, Kiener J, Lemmon R, Lewitowicz M, Lukyanov S M, Mayet P, De Oliveira Santos F, Pantalica D, Penionzhkevich Y E, Pougheon F, Poves A, Redon N, Saint-Laurent M G, Scarpaci J A, Sletten G, Stanoiu M, Tarasov O, Theisen C 2002 Phys. Rev. Lett 88 092501Google Scholar
[27] Langanke K, Terasaki J, Nowacki F, Dean D J, Nazarewicz W 2003 Phys. Rev. C 67 044314Google Scholar
[28] Honma M, Otsuka T, Brown B A, Mizusaki T 2002 Phys. Rev. C 65 061301Google Scholar
[29] Kleis H, Seidlitz M, Blazhev A, Kaya L, Reiter P, Arnswald K, Dewald A, Droste M, Fransen C, Moller O, Shimizu N, Tsunoda Y, Utsuno Y, von Brentano P, Zell K O 2021 Phys. Rev. C 104 034310Google Scholar
[30] Hannawald M, Kautzsch T, Wohr A, Walters W B, Kratz K L, Fedoseyev V N, Mishin V I, Bohmer W, Pfeiffer B, Sebastian V, Jading Y, Koster U, Lettry J, Ravn H L 1999 Phys. Rev. Lett. 82 1391Google Scholar
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[1] Bethe H A, Brown G E, Applegate J, Lattimer J M 1979 Nucl. Phys. A 324 487Google Scholar
[2] Bethe H A 1990 Rev. Mod. Phys 62 801Google Scholar
[3] Fuller G M, Fowler W A, Newman M J 1980 Astrophys. J. Suppl. Ser 42 447Google Scholar
[4] Fuller G M, Fowler W A, Newman M J 1982 Astrophys. J. Suppl. Ser 48 279Google Scholar
[5] Langanke K, Martinez-Pinedo G 2003 Rev. Mod. Phys. 75 819Google Scholar
[6] Janka H T, Langanke K, Marek A, Martinez-Pinedo G, Muller B 2007 Phys. Rep. 442 38Google Scholar
[7] Fuller G M, Fowler W A, Newman M J 1982 Astrophys. J. 252 715Google Scholar
[8] Caurier E, Langanke K, Martínez-Pinedo G, Nowacki F 1999 Nucl. Phys. A 653 439Google Scholar
[9] Langanke K, Martínez-Pinedo G 2000 Nucl. Phys. A 673 481Google Scholar
[10] 张洁, 王少峰 2010 物理学报 59 1391Google Scholar
Zhang J, Wang S F 2010 Acta. Phys. Sin. 59 1391Google Scholar
[11] Zegers R G T, Brown E F, Akimune H, Austin S M, Vanden Berg A M, Brown B A, Chamulak D A, Fujita Y, Fujiwara M, Galès S, Harakeh M N, Hashimoto H, Hayami R, Hitt G W, Itoh M, Kawabata T, Kawase K, Kinoshita M, Nakanishi K, Nakayama S, Okumura S, Shimbara Y, Uchida M, Ueno H, Yamagata T, Yosoi M 2008 Phys. Rev. C 77 024307Google Scholar
[12] 支启军, 郑强 2011 物理学报 60 102301Google Scholar
Zhi Q, Zheng Q 2011 Acta. Phys. Sin. 60 102301Google Scholar
[13] 张绍庆, 谢娟, 张小平, 支启军 2016 Acta. Phys. Sin. 65 092101Google Scholar
Zhang S Q, Xie J, Zhang X P, Zhi Q J 2016 物理学报 65 092101Google Scholar
[14] You J L, Wu Q D, Zhang X P, Zhi Q 2019 Commun. Theor. Phys 71 293Google Scholar
[15] You J L, Zhang X P, Zhi Q J, Ren Z Z, Wu Q D 2019 Chin. Phys. C 43 114104Google Scholar
[16] Mukai M, Hirayama Y, Watanabe Y X, Watanabe H, Koura H, Jeong S C, Miyatake H, Brunet M, Ishizawa S, Kondev F G, Lane G J, Litvinov Y A, Niwase T, Oyaizu M, Podolyak Z, Rosenbusch M, Schury P, Wada M, Walker P M 2022 Phys. Rev. C 105 034331Google Scholar
[17] Zhi Q, Langanke K, Martinez-Pinedo G, Nowacki F, Sieja K 2011 Nucl. Phys. A 859 172Google Scholar
[18] Stryjczyk M, Tsunoda Y, Darby I G, Witte H D, Diriken J, Fedorov D V, Fedosseev V N, Fraile L M, Huyse M, Köster U, Marsh B A, Otsuka T, Pauwels D, Popescu L, Radulov D, Seliverstov M D, Sjödin A M, P. Van den Bergh, Van Duppen P, Venhart M, Walters W B, Wimmer K 2018 Phys. Rev. C 98 064326Google Scholar
[19] Qi C and Xu F. R 2008 Nucl. Phys. A 800 47Google Scholar
[20] Qi C and Xu F. R 2008 Nucl. Phys. A 814 48Google Scholar
[21] 支启军 2011 物理学报 60 052101Google Scholar
Zhi Q J 2011 Acta. Phys. Sin. 60 052101Google Scholar
[22] Caurier E, Martinez-pinedo G, Nowacki F, Poves A, Zuker A P 2005 Rev. Mod. Phys 77 427Google Scholar
[23] 张玉美、许甫荣 2008 物理学报 57 4826Google Scholar
Zhang Y M, Xu F R 2008 Acta. Phys. Sin. 57 4826Google Scholar
[24] Zhi Q, Caurier E, Cuenca-Garcia J J, Langanke K, Martinez-Pinedo G, Sieja K 2013 Phys. Rev. C 87 025803Google Scholar
[25] Toshio S, Takashi Y, Toshitaka K, Takaharu O 2012 Phys. Rev. C 85 015802Google Scholar
[26] Sorlin O, Leenhardt S, Donzaud C, Duprat J, Azaiez F, Nowacki F, Grawe H, Dombrádi Z, Amorini F, Astier A, Baiborodin D, Belleguic M, Borcea C, Bourgeois C, Cullen D M, Dlouhy Z, Dragulescu E, Górska M, Grévy S, Guillemaud-Mueller D, Hagemann G, Herskind B, Kiener J, Lemmon R, Lewitowicz M, Lukyanov S M, Mayet P, De Oliveira Santos F, Pantalica D, Penionzhkevich Y E, Pougheon F, Poves A, Redon N, Saint-Laurent M G, Scarpaci J A, Sletten G, Stanoiu M, Tarasov O, Theisen C 2002 Phys. Rev. Lett 88 092501Google Scholar
[27] Langanke K, Terasaki J, Nowacki F, Dean D J, Nazarewicz W 2003 Phys. Rev. C 67 044314Google Scholar
[28] Honma M, Otsuka T, Brown B A, Mizusaki T 2002 Phys. Rev. C 65 061301Google Scholar
[29] Kleis H, Seidlitz M, Blazhev A, Kaya L, Reiter P, Arnswald K, Dewald A, Droste M, Fransen C, Moller O, Shimizu N, Tsunoda Y, Utsuno Y, von Brentano P, Zell K O 2021 Phys. Rev. C 104 034310Google Scholar
[30] Hannawald M, Kautzsch T, Wohr A, Walters W B, Kratz K L, Fedoseyev V N, Mishin V I, Bohmer W, Pfeiffer B, Sebastian V, Jading Y, Koster U, Lettry J, Ravn H L 1999 Phys. Rev. Lett. 82 1391Google Scholar
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