Improved thermonuclear rate of <sup>42</sup> Ti( <i>p</i> , <i>γ</i> ) <sup>43</sup> V and its astrophysical implication in the <i>rp</i> process AAP 09/01/2023 10543443 10.1051/0004-6361/202347054 Astronomy & Astrophysics 0004-6361 677 S Q HouC IliadisM PignatariJ B LiuT_C L TruemanJ G LiX X Xu Context.Accurate42Ti(p,γ)43V reaction rates are crucial for understanding the nucleosynthesis path of the rapid capture process (rpprocess) that occurs in X-ray bursts.

Aims.We aim to improve the thermonuclear rates of42Ti(p,γ)43V based on more complete resonance information and a more accurate direct component, together with the recently released nuclear masses data. We also explore the impact of the newly obtained rates on therpprocess.

Methods.We reevaluated the reaction rate of42Ti(p,γ)43V by the sum of the isolated resonance contribution instead of the Hauser-Feshbach statistical model. We used a Monte Carlo method to derive the associated uncertainties of new rates. The nucleosynthesis simulations were performed via the NuGrid post-processing code ppn.

Results.The new rates differ from previous estimations due to the use of a series of updated resonance parameters and a direct S factor. Compared with the previous results from the Hauser-Feshbach statistical model, which assumes compound nucleus43V with a sufficiently high-level density in the energy region of astrophysical interest, large differences exist over the entire temperature region ofrp-process interest, up to two orders of magnitude. We consistently calculated the photodisintegration rate using our new nuclear masses via the detailed balance principle, and found the discrepancies among the different reverse rates are much larger than those for the forward rate, up to ten orders of magnitude at the temperature of 108K. Using a trajectory with a peak temperature of 1.95×109K, we performed therp-process nucleosynthesis simulations to investigate the impact of the new rates. Our calculations show that the adoption of the new forward and reverse rates result in abundance variations for Sc and Ca of 128% and 49%, respectively, compared to the variations for the statistical model rates. On the other hand, the overall abundance pattern is not significantly affected. The results of using new rates also confirm that therp-process path does not bypass the isotope43V.

Conclusions.Our study found that the Hauser-Feshbach statistical model is inappropriate to the reaction rate evaluation for42Ti(p,γ)43V. The adoption of the new rates confirms that the reaction path of42Ti(p,γ)43V(p,γ)44Cr(β+)44V is a key branch of therpprocess in X-ray bursts.

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\X] > ^ ] a 8= @Q7 R>1Q>8 A988 A7K 1; Q9; H9>H; 7T7; @ 7; 79<8 = 1>; 98 7@ 9; 78 = MA8 I<1>>7<8 7H?I8 A7H78 9= 7H?9 9><7P; = ><= P 75:1;8 A7 B C= D3 E B F; 79<8 = 1>3= 8 @; 7T7; @ 7; 79<8 = 1>; 98 7 9 @ 1<9 7H8 A7 PA18 1H= @ = >8 7M; 98 = 1>; 98 7<9>?7<9 <2 98 7HH= ; 7<8 I?I8 A7K 1 J 1Q= >M7bP; 7@ @ = 1> :1Q 7;789 5c4<A98 Ud>M e Ef D g h K h = i jk lm n _ 7bP i \ o Df E k^n p qr s Df E f B QA7; 7h = 9>Hh K 9; 78 A7P9; 8 = 8 = 1>K 2><8 = 1>@1K8 A7= >= 8 = 99>H t>9>2< 7= 5CA7; 98 = 11K8 A7 EfD; 79<8 = 1>; 98 78 18 A7DfE; 98 7 H7P7>H@7bP1>7>8 = 9 I1>o Df E 9>H= @8 A7; 7K 1; 7T7; I@7>@ = 8 = T7 8 1>2< 79;L9@ @ 7@ 5a > = MA81K8 A7>7Q>2< 79;L9@ @ 7@2@ 7H= > 8 A= @@ 8 2HI3Q7= >T7@ 8 = M98 7H8 A7= LP9<81K8 A7T9; = 98 = 1>1K>2< 79; L9@ @ 7@1K8 A7>2< 7== >T1 T7H= >8 A= @; 79<8 = 1>1>8 A7e Ef D ; 98 CA7<9 <2 98 = 1>@ A1Q@8 A988 A78 Q1; 98 7@K ; 1L 8 A7@ 8 98 = @ 8 = <9 L1H7 ; 98 A9>H8 A@ Y9; 7L2<AA= MA7;8 A9>12;>7Qe Ef D ; 98 7 9>H18 A7; @1?8 9= >7H?I8 A7@ 2L1K8 A7<1>8 ; = ?28 = 1>@K ; 1L>9; ; 1Q 9>H= @ 1 98 7H; 7@ 1>9><7@ 5CA= @ 9; M7H= @ <; 7P9><I= @L9= > IH278 1 8 A7= ;>7M98 = T7; 79<8 = 1>oT9 27@ 3QA= <A9; 7\Y5 R7FK 1;8 A@ Y 9>H\BR7FK 1;; 98 A5u7>7; 9 I@ P79R= >M3 9; M7;e Ef D ; 98 7@ L79>@8 ; 1>M7;7V7<8 @1K= LP7H= >M8 A7P; 18 1><9P8 2; 71> B C= ; 7@ 2 8 = >M= >9; 7H2<8 = 1>1K8 A7>78; 79<8 = 1>v2bP9@ @8 A; 12MA8 A7 B C= D3 E B F; 79<8 = 1>5 wxyz{ | }~z ~{ }| | | z{ z CA7>7QK 1; Q9; H9>H; 7T7; @ 7; 98 7@K 1; B C= D3 E B F9; 7; 7L9; RJ 9? IH= V7; 7>8K ; 1L8 A7P; 7T= 12@; 98 7@= >8 A78 7LP7; 98 2; 7; 7M= 1> 1K 8 1 5CA7; 7K 1; 73= 8= @Q1; 8 AQA= 78 17bP 1; 7 8 A7= LP9<81K8 A7>7Q; 98 7@1>8 A7DP; 1<7@ @= >CIP7aJ ; 9I ?2; @ 8 @ 5W7P7; K 1; L7H8 A7DJ P; 1<7@ @@ = L2 98 = 1>2@ = >M8 A71>7J U1>7P1@ 8 J P; 1<7@ @ = >M>2< 71@ I>8 A7@ = @<1H7PP>39?; 9><A1K 8 A72< 71@ I>8 A7@ = @u; = H 2u; = HK ; 9L7Q1; R 07; Q= M789 cN7>= @ @ 7>R1T789 5B 5W7<A1@ 7A7; 798 ; 9 7<8 1; IK ; 1L 4<A98 U789 5 3Q= 8 A9P79R8 7LP7; 98 2; 71K] X 5CA7 @ 1 9;9?2>H9><7@K ; 1LuY >H7; @u; 7T7@ @ 7YQ7; 7 2@ 7H9@8 A7= >= 8 = 9<1LP1@ = 8 = 1>1K8 A79<<; 78 7HL98 7; = 9K ; 1L 8 A7<1LP9>= 1>@ 8 9; 5CA; 77; 2>@Q7; 7P7; K 1; L7H1>8 A7<1>H= 8 = 1> 8 A989 8 A7>2< 79;PAI@ = <@9>HL1H7= >P28 @?7R7P82><A9>M7H 7b<7P8K 1;8 A7K 1; Q9; H9>H; 7T7; @ 7; 79<8 = 1>; 98 7@K 1; B C= D3 E B F 8 9R7>K ; 1LH= V7; 7>8@ 12; <7@ 5a >8 A7t; @ 8; 2>3Q72@ 7H12;>7Q ; 98 7@ 5CA78 A@ Y; 98 7@Q7; 72@ 7HK 1;8 A7@ 7<1>H; 2>9>H; 98 7@K ; 1L ; 98 A= >8 A78 A= ; H; 2>5d2; DJ P; 1<7@ @@ = L2 98 = 1>@@ A1Q8 A988 A7 9H1P8 = 1>1KH= V7; 7>8; 98 7@K 1;8 A7 B C= D3 E B F; 79<8 = 1>H17@>18 A9T79>18 = <79? 7= >v27><71>8 A7@ 2L1K8 A77>7; M= 7@; 7 79@ 7H K ; 1L>2< 79;; 79<8 = 1>@ QA= <A= @= >H= <98 = T71K8 A7>2< 79;7>7; MI M7>7; 98 = 1>; 98 7 3?28<9>; 7@ 2 8= ><1>@ = H7; 9? 79?2>H9><7T9; = J 98 = 1>@K 1;@ 1L7= @ 18 1P7@ 5C9? 7@ A1Q@9<1LP9; = @ 1>1K8 A7 <9 <2 98 7H9?2>H9><7@1K@ 2<A= @ 18 1P7@K 1;H= V7; 7>8T9 27@1K 8 A7K 1; Q9; H9>H; 7T7; @ 7; 98 7@1K8 A7 B C= D3 E B F; 79<8 = 1>5CA7 9; M7@ 8T9; = 98 = 1>@Q7; 71?8 9= >7HK 1;8 A7; 9H= 19<8 = T7= @ 18 1P7@ B F 9>H BB O; 3?18 A1>8 A71; H7;1K9L9M>= 8 2H71KK 12; 3QA= 78 A7 9?2>H9><7@1K8 A7; 7@ 8= @ 18 1P7@= >C9? 7<A9>M7HL1H7@ 8 I5a > M7>7; 9 38 A= @; 7@ 2 8= @H278 18 A79H1P8 = 1>1K>7QK 1; Q9; H9>H ; 7T7; @ 7; 98 7@K 1; B C= D3 E B F501Q7T7; 38 A= @= @= >7@ @ 7><79>98 J 2; 9<1>@ 727><71K 1<9DfE EfD72= = ?; = 2L8 A98K 1; L7H = >8 A77b8 ; 7L77>T= ; 1>L7>81K9>J ; 9I?2; @ 8 5WA7>72= = ?; = 2L = @9<A= 7T7H38 A79?2>H9><7@1K= @ 18 1P7@Q= 8 A= >9>= @ 18 1>= <<A9= > 9; 7H78 7; L= >7H?I8 A7P; 18 1>@7P9; 98 = 1>7>7; M= 7@; 98 A7;8 A9>8 A7 P; 18 1><9P8 2; 7; 98 7@ 4<A98 U789 5Y 3QA= <A= @<1>t; L7H?I 12;= >T7@ 8 = M98 = 1>8 A98?18 A9K 1; Q9; H9>H; 7T7; @ 7; 98 7L2 8 = P = 7H ?I9K 9<8 1;1K8 7>; 7@ 2 8 @= >8 A7 9; M7@ 89?2>H9><7H= V7; 7><7 7@ @ 8 A9>5 Z5CA79H1P8 = 1>1K>7QP; 18 1>@7P9; 98 = 1>7>7; M= 7@1K XR7F= > B FH= ; 7<8 I 79H8 18 A7P; 1L= >7>8= ><; 79@ 7= >72= J = ?; = 2L9?2>H9><7@1K B F9>H BB O;9 1>M8 A7= @ 18 1>= <<A9= > K ; 1L B C=8 1 BB O;<1LP9; 7HQ= 8 A<9@ 7@2@ = >M>7M98 = T71>7@1K \Y5 R7F9>H\BR7FK ; 1L8 A@ Y9>H; 98 A3; 7@ P7<8 = T7 I5 C1= >T7@ 8 = M98 78 A7= LP9<81K8 A7T9; = 98 = 1>1K8 A7 B C= D3 E B F ; 79<8 = 1>; 98 71>8 A7t>9 DJ P; 1<7@ @<1LP1@ = 8 = 1>= >8 A7J ; 9I ?2; @ 8 3Q7<9 <2 98 7H8 A7t>9<1LP1@ = 8 = 1>1KAIH; 1M7>J ?2; >= >M 9@ A7@ 5CA77 7L7>89?2>H9><79K 8 7;8 A7K 2 H7<9I1K9 8 A7 2>@ 8 9? 7= @ 18 1P7@= @P 18 8 7H= >:= M55CA79?2>H9><7@1KO99>H 4<Q7; 7K 12>H8 1A9T79P; 1L= >7>8<A9>M7K 1;8 A7<9@ 72@ = >M 12;>7Q; 98 73<1LP9; 7HQ= 8 A8 A78 Q1<9@ 7@2@ = >M8 A@ Y9>H; 98 A

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